Grube, Florian; Hensiek, Thorben; Schefer, Waldemar The Dirichlet problem for Lévy-stable operators with \(L^2\)-data. (English) Zbl 07819603 Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 74, 28 p. (2024). MSC: 35S15 35J25 46E35 47G20 60G52 PDFBibTeX XMLCite \textit{F. Grube} et al., Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 74, 28 p. (2024; Zbl 07819603) Full Text: DOI arXiv OA License
Audrito, Alessandro; Felipe-Navarro, Juan-Carlos; Ros-Oton, Xavier The Neumann problem for the fractional Laplacian: regularity up to the boundary. (English) Zbl 1525.35054 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 2, 1155-1222 (2023). Reviewer: Nicola Abatangelo (Bologna) MSC: 35B65 35B45 35J25 35R11 60G52 47G30 PDFBibTeX XMLCite \textit{A. Audrito} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 2, 1155--1222 (2023; Zbl 1525.35054) Full Text: DOI arXiv
Zhou, Yuting; Booß-Bavnbek, Bernhelm; Deng, Jian; Zhu, Chaofeng Continuity of families of Calderón projections. (English) Zbl 1520.35083 J. Funct. Anal. 285, No. 8, Article ID 110069, 42 p. (2023). MSC: 35J67 58J32 58J40 47A53 PDFBibTeX XMLCite \textit{Y. Zhou} et al., J. Funct. Anal. 285, No. 8, Article ID 110069, 42 p. (2023; Zbl 1520.35083) Full Text: DOI arXiv
Bhakta, Mousomi; Ganguly, Debdip; Montoro, Luigi Fractional Hardy equations with critical and supercritical exponents. (English) Zbl 1517.35236 Ann. Mat. Pura Appl. (4) 202, No. 1, 397-430 (2023). MSC: 35R11 35B33 35B07 35B65 35J61 35S05 47G30 PDFBibTeX XMLCite \textit{M. Bhakta} et al., Ann. Mat. Pura Appl. (4) 202, No. 1, 397--430 (2023; Zbl 1517.35236) Full Text: DOI arXiv
Maroun, Michael The Dirac Delta as a Singular Potential for the 2D Schrodinger Equation. arXiv:2312.15126 Preprint, arXiv:2312.15126 [quant-ph] (2023). MSC: 35Q40 35D99 35J05 35J08 35J10 47B93 35S05 46F10 46N50 81Q05 81Q65 81Q80 81V19 BibTeX Cite \textit{M. Maroun}, ``The Dirac Delta as a Singular Potential for the 2D Schrodinger Equation'', Preprint, arXiv:2312.15126 [quant-ph] (2023) Full Text: arXiv OA License
Rozenblum, Grigori; Tashchiyan, Grigory Eigenvalues of the Birman-Schwinger operator for singular measures: the noncritical case. (English) Zbl 07605362 J. Funct. Anal. 283, No. 12, Article ID 109704, 42 p. (2022). MSC: 47Gxx 35Pxx 35Jxx PDFBibTeX XMLCite \textit{G. Rozenblum} and \textit{G. Tashchiyan}, J. Funct. Anal. 283, No. 12, Article ID 109704, 42 p. (2022; Zbl 07605362) Full Text: DOI arXiv
Baldare, A.; Nazaikinskii, V. E.; Savin, A. Yu.; Schrohe, E. \(C^*\)-algebras of transmission problems and elliptic boundary value problems with shift operators. (English. Russian original) Zbl 1493.58009 Math. Notes 111, No. 5, 701-721 (2022); translation from Mat. Zametki 111, No. 5, 692-716 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J32 47L80 35S05 47G30 35J99 PDFBibTeX XMLCite \textit{A. Baldare} et al., Math. Notes 111, No. 5, 701--721 (2022; Zbl 1493.58009); translation from Mat. Zametki 111, No. 5, 692--716 (2022) Full Text: DOI
Abatangelo, Nicola Higher-order fractional Laplacians: an overview. (English) Zbl 1489.35057 “Bruno Pini” Mathematical Analysis Seminar 2021. Papers from the seminar, University of Bologna, Bologna, Italy, 2021. Bologna: Università di Bologna, Alma Mater Studiorum. 53-80 (2022). MSC: 35J40 35G15 47G20 31B30 35S15 PDFBibTeX XMLCite \textit{N. Abatangelo}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2021. Papers from the seminar, University of Bologna, Bologna, Italy, 2021. Bologna: Università di Bologna, Alma Mater Studiorum. 53--80 (2022; Zbl 1489.35057) Full Text: DOI
Fall, Mouhamed Moustapha; Mengesha, Tadele; Schikorra, Armin; Yeepo, Sasikarn Calderón-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient. (English) Zbl 1487.35133 SN Partial Differ. Equ. Appl. 3, No. 2, Paper No. 24, 27 p. (2022). MSC: 35B45 35J92 35R11 46E35 47G30 PDFBibTeX XMLCite \textit{M. M. Fall} et al., SN Partial Differ. Equ. Appl. 3, No. 2, Paper No. 24, 27 p. (2022; Zbl 1487.35133) Full Text: DOI arXiv
Bögli, Sabine; Kennedy, James B.; Lang, Robin On the eigenvalues of the Robin Laplacian with a complex parameter. (English) Zbl 1490.35108 Anal. Math. Phys. 12, No. 1, Paper No. 39, 60 p. (2022). Reviewer: Davide Buoso (Alessandria) MSC: 35J05 35J25 35P10 35P15 35S05 47A10 81Q12 PDFBibTeX XMLCite \textit{S. Bögli} et al., Anal. Math. Phys. 12, No. 1, Paper No. 39, 60 p. (2022; Zbl 1490.35108) Full Text: DOI arXiv
Le Rousseau, Jérôme; Lebeau, Gilles; Robbiano, Luc Elliptic Carleman estimates and applications to stabilization and controllability. Volume I. Dirichlet boundary conditions on Euclidean space. (English) Zbl 1497.35005 Progress in Nonlinear Differential Equations and Their Applications 97. Subseries in Control. Cham: Birkhäuser (ISBN 978-3-030-88673-8/hbk; 978-3-030-88674-5/ebook). viii, 411 p. (2022). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 35-02 35B60 35S15 35P15 47D06 93B05 93D15 35B45 PDFBibTeX XMLCite \textit{J. Le Rousseau} et al., Elliptic Carleman estimates and applications to stabilization and controllability. Volume I. Dirichlet boundary conditions on Euclidean space. Cham: Birkhäuser (2022; Zbl 1497.35005) Full Text: DOI
Baldare, Alexandre; Côme, Rémi; Nistor, Victor Fredholm conditions for operators invariant with respect to compact Lie group actions. (English) Zbl 1477.58016 C. R., Math., Acad. Sci. Paris 359, No. 9, 1135-1143 (2021). Reviewer: Iakovos Androulidakis (Athína) MSC: 58J40 47A53 57S15 47L80 46N20 PDFBibTeX XMLCite \textit{A. Baldare} et al., C. R., Math., Acad. Sci. Paris 359, No. 9, 1135--1143 (2021; Zbl 1477.58016) Full Text: DOI arXiv
Vasilyev, V. B. Operators and equations: discrete and continuous. (English. Russian original) Zbl 07380558 J. Math. Sci., New York 257, No. 1, 17-26 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 18-27 (2019). MSC: 47G30 42B10 45G05 65R20 35S05 PDFBibTeX XMLCite \textit{V. B. Vasilyev}, J. Math. Sci., New York 257, No. 1, 17--26 (2021; Zbl 07380558); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 18--27 (2019) Full Text: DOI Link
Zuo, Jiabin; An, Tianqing; Fiscella, Alessio A critical Kirchhoff-type problem driven by a \(p ( \cdot )\)-fractional Laplace operator with variable \(s ( \cdot )\) -order. (English) Zbl 1469.35236 Math. Methods Appl. Sci. 44, No. 1, 1071-1085 (2021). MSC: 35R11 35J25 35J62 47G20 35S15 PDFBibTeX XMLCite \textit{J. Zuo} et al., Math. Methods Appl. Sci. 44, No. 1, 1071--1085 (2021; Zbl 1469.35236) Full Text: DOI
Bellido, José C.; Ortega, Alejandro A restricted nonlocal operator bridging together the Laplacian and the fractional Laplacian. (English) Zbl 1462.35431 Calc. Var. Partial Differ. Equ. 60, No. 2, Paper No. 71, 29 p. (2021). MSC: 35R11 35J25 35S15 49J45 47G20 45G05 PDFBibTeX XMLCite \textit{J. C. Bellido} and \textit{A. Ortega}, Calc. Var. Partial Differ. Equ. 60, No. 2, Paper No. 71, 29 p. (2021; Zbl 1462.35431) Full Text: DOI arXiv
Hounie, J.; Picon, T. Local Hardy-Littlewood-Sobolev inequalities for canceling elliptic differential operators. (English) Zbl 1465.46037 J. Math. Anal. Appl. 494, No. 1, Article ID 124598, 24 p. (2021). Reviewer: Meng Qu (Wuhu) MSC: 46E35 35A23 35S05 47F10 PDFBibTeX XMLCite \textit{J. Hounie} and \textit{T. Picon}, J. Math. Anal. Appl. 494, No. 1, Article ID 124598, 24 p. (2021; Zbl 1465.46037) Full Text: DOI
Mugnai, Dimitri; Proietti Lippi, Edoardo Linking over cones for the Neumann fractional \(p\)-Laplacian. (English) Zbl 1454.35412 J. Differ. Equations 271, 797-820 (2021). MSC: 35R11 35J92 35J25 35A15 47J30 35S15 47G10 45G05 35P30 PDFBibTeX XMLCite \textit{D. Mugnai} and \textit{E. Proietti Lippi}, J. Differ. Equations 271, 797--820 (2021; Zbl 1454.35412) Full Text: DOI arXiv
Maroun, Michael The Energy Eigenvalue for the Singular Wave Function of the Three Dimensional Dirac Delta Schrodinger Potential via Distributionally Generalized Quantum Mechanics. arXiv:2101.07876 Preprint, arXiv:2101.07876 [quant-ph] (2021). MSC: 47B93 35D99 35J05 35J08 35J10 35Q40 35S05 46F10 46N50 81Q05 81Q65 81Q80 81V19 BibTeX Cite \textit{M. Maroun}, ``The Energy Eigenvalue for the Singular Wave Function of the Three Dimensional Dirac Delta Schrodinger Potential via Distributionally Generalized Quantum Mechanics'', Preprint, arXiv:2101.07876 [quant-ph] (2021) Full Text: arXiv OA License
Lee, Gihyun; Ponge, Raphaël Functional calculus for elliptic operators on noncommutative tori. I. (English) Zbl 1455.58010 J. Pseudo-Differ. Oper. Appl. 11, No. 3, 935-1004 (2020). Reviewer: Jean-Pierre Magnot (Clermont-Ferrand) MSC: 58J42 58J40 46L85 47G30 35S05 PDFBibTeX XMLCite \textit{G. Lee} and \textit{R. Ponge}, J. Pseudo-Differ. Oper. Appl. 11, No. 3, 935--1004 (2020; Zbl 1455.58010) Full Text: DOI arXiv
Bhakta, Mousomi; Biswas, Anup; Ganguly, Debdip; Montoro, Luigi Integral representation of solutions using Green function for fractional Hardy equations. (English) Zbl 1448.35541 J. Differ. Equations 269, No. 7, 5573-5594 (2020). MSC: 35R11 35A08 35C15 35J08 35S05 47D06 60J35 PDFBibTeX XMLCite \textit{M. Bhakta} et al., J. Differ. Equations 269, No. 7, 5573--5594 (2020; Zbl 1448.35541) Full Text: DOI arXiv
Mikhailov, Sergey E.; Woldemicheal, Zenebe W. On united boundary-domain integro-differential equations for variable coefficient Dirichlet problem with general right-hand side. (English) Zbl 07215945 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 225-235 (2019). MSC: 47Gxx 35Jxx 45Axx 31Bxx 45Pxx PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{Z. W. Woldemicheal}, in: Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16--20, 2018. Basel: Birkhäuser. 225--235 (2019; Zbl 07215945) Full Text: DOI Link
Ayele, Tsegaye G.; Bekele, Solomon T. Two-operator boundary-domain integral equations for variable coefficient Dirichlet problem in 2D. (English) Zbl 07215932 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 53-66 (2019). MSC: 47Gxx 35Jxx 45Axx 31Bxx 45Pxx PDFBibTeX XMLCite \textit{T. G. Ayele} and \textit{S. T. Bekele}, in: Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16--20, 2018. Basel: Birkhäuser. 53--66 (2019; Zbl 07215932) Full Text: DOI
Ayele, Tsegaye G. Two-operator boundary-domain integral equations for variable-coefficient Dirichlet problem with general data. (English) Zbl 07215931 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 37-52 (2019). MSC: 47Gxx 35Jxx 45Axx 31Bxx 45Pxx PDFBibTeX XMLCite \textit{T. G. Ayele}, in: Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16--20, 2018. Basel: Birkhäuser. 37--52 (2019; Zbl 07215931) Full Text: DOI
Cardona, Duván Pseudo-differential operators in Hölder spaces revisited: Weyl-Hörmander calculus and Ruzhansky-Turunen classes. (English) Zbl 1427.35383 Mediterr. J. Math. 16, No. 6, Paper No. 148, 17 p. (2019). MSC: 35S05 35J70 35A27 47G30 PDFBibTeX XMLCite \textit{D. Cardona}, Mediterr. J. Math. 16, No. 6, Paper No. 148, 17 p. (2019; Zbl 1427.35383) Full Text: DOI arXiv
Jamalpourbirgani, Majid; Wong, M. W. Characterizations of self-adjointness, normality, invertibility, and unitarity of pseudo-differential operators on compact and Hausdorff groups. (English) Zbl 07121764 Molahajloo, Shahla (ed.) et al., Analysis of pseudo-differential operators. Based on the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 79-95 (2019). MSC: 47F05 47G30 35J70 PDFBibTeX XMLCite \textit{M. Jamalpourbirgani} and \textit{M. W. Wong}, in: Analysis of pseudo-differential operators. Based on the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 79--95 (2019; Zbl 07121764) Full Text: DOI
Schulze, B.-W.; Seiler, J. Elliptic complexes on manifolds with boundary. (English) Zbl 1476.58023 J. Geom. Anal. 29, No. 1, 656-706 (2019). Reviewer: Yu Qiao (Xi’an) MSC: 58J10 47L15 35S15 58J40 PDFBibTeX XMLCite \textit{B. W. Schulze} and \textit{J. Seiler}, J. Geom. Anal. 29, No. 1, 656--706 (2019; Zbl 1476.58023) Full Text: DOI arXiv
Godoy, Tomas A semilinear singular problem for the fractional Laplacian. (English) Zbl 1427.35319 AIMS Math. 3, No. 4, 464-484 (2018). MSC: 35R11 35J91 35A15 35S15 47G20 46E35 PDFBibTeX XMLCite \textit{T. Godoy}, AIMS Math. 3, No. 4, 464--484 (2018; Zbl 1427.35319) Full Text: DOI
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. (English) Zbl 1405.35122 Math. Methods Appl. Sci. 41, No. 17, 8033-8058 (2018). MSC: 35P25 47G40 35J25 35J05 35R05 45F15 35S05 35J20 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Math. Methods Appl. Sci. 41, No. 17, 8033--8058 (2018; Zbl 1405.35122) Full Text: DOI arXiv
Vasilyev, Alexander V.; Vasilyev, Vladimir B. On some discrete potential like operators. (English) Zbl 1500.47070 Tatra Mt. Math. Publ. 71, 195-212 (2018). MSC: 47G30 42B37 PDFBibTeX XMLCite \textit{A. V. Vasilyev} and \textit{V. B. Vasilyev}, Tatra Mt. Math. Publ. 71, 195--212 (2018; Zbl 1500.47070) Full Text: DOI
Hounie, Jorge; Picon, Tiago Fractional Hardy-Sobolev inequalities for canceling elliptic differential operators. arXiv:1809.08485 Preprint, arXiv:1809.08485 [math.AP] (2018). MSC: 47F05 35A23 35B45 35F05 35J48 35S05 BibTeX Cite \textit{J. Hounie} and \textit{T. Picon}, ``Fractional Hardy-Sobolev inequalities for canceling elliptic differential operators'', Preprint, arXiv:1809.08485 [math.AP] (2018) Full Text: arXiv OA License
Aslanov, Hamidulla I.; Gadirli, Nigar A. On asymptotic distribution of negative eigen values of second order equation with operator coefficients on a semi-axis. (English) Zbl 1513.35195 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 37, No. 1, Math., 44-52 (2017). MSC: 35J25 47A10 58J40 PDFBibTeX XMLCite \textit{H. I. Aslanov} and \textit{N. A. Gadirli}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 37, No. 1, Math., 44--52 (2017; Zbl 1513.35195) Full Text: Link
Watanabe, Yoshitaka; Nakao, Mitsuhiro T.; Nagatou, Kaori On the compactness of a nonlinear operator related to stream function-vorticity formulation for the Navier-Stokes equations. (English) Zbl 1410.35006 JSIAM Lett. 9, 77-80 (2017). MSC: 35A16 47H60 47F05 35J40 47G30 35Q30 PDFBibTeX XMLCite \textit{Y. Watanabe} et al., JSIAM Lett. 9, 77--80 (2017; Zbl 1410.35006) Full Text: DOI
Li, Dongsheng; Li, Zhenjie A radial symmetry and Liouville theorem for systems involving fractional Laplacian. (English) Zbl 1380.35039 Front. Math. China 12, No. 2, 389-402 (2017). MSC: 35B53 35A01 35J46 35S05 47G30 58J70 35R11 PDFBibTeX XMLCite \textit{D. Li} and \textit{Z. Li}, Front. Math. China 12, No. 2, 389--402 (2017; Zbl 1380.35039) Full Text: DOI
Taira, Kazuaki Analytic semigroups for the subelliptic oblique derivative problem. (English) Zbl 1376.35035 J. Math. Soc. Japan 69, No. 3, 1281-1330 (2017). MSC: 35J25 35S05 47D03 47H20 35P20 PDFBibTeX XMLCite \textit{K. Taira}, J. Math. Soc. Japan 69, No. 3, 1281--1330 (2017; Zbl 1376.35035) Full Text: DOI Euclid
Zinchenko, Tetiana Elliptic operators on refined Sobolev scales on vector bundles. (English) Zbl 1370.35108 Open Math. 15, 907-925 (2017). MSC: 35J48 35S05 47G40 46B70 46E35 PDFBibTeX XMLCite \textit{T. Zinchenko}, Open Math. 15, 907--925 (2017; Zbl 1370.35108) Full Text: DOI arXiv
Bartolo, Rossella; Fiscella, Alessio Multiple solutions for a class of Schrödinger equations involving the fractional \(p\)-Laplacian. (English) Zbl 1365.35199 Minimax Theory Appl. 2, No. 1, 9-25 (2017). MSC: 35R11 49J35 35S15 58E05 47J20 35J10 46E35 35J92 PDFBibTeX XMLCite \textit{R. Bartolo} and \textit{A. Fiscella}, Minimax Theory Appl. 2, No. 1, 9--25 (2017; Zbl 1365.35199) Full Text: Link
Shakhmurov, Veli Pseudo-differential operators in vector-valued spaces and applications. arXiv:1706.00803 Preprint, arXiv:1706.00803 [math.AP] (2017). MSC: 47Gxx 35Jxx 47Fxx 47Dxx 43Axx BibTeX Cite \textit{V. Shakhmurov}, ``Pseudo-differential operators in vector-valued spaces and applications'', Preprint, arXiv:1706.00803 [math.AP] (2017) Full Text: arXiv OA License
Aslanov, Hamidulla I.; Abdullayeva, Novrasta S. Discreteness spectrum and asymptotic distribution of eigenvalues of operator differential equations of higher order on semi-axis. (English) Zbl 1513.35194 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 36, No. 4, Math., 47-53 (2016). MSC: 35J25 47A10 58J40 PDFBibTeX XMLCite \textit{H. I. Aslanov} and \textit{N. S. Abdullayeva}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 36, No. 4, Math., 47--53 (2016; Zbl 1513.35194) Full Text: Link
Fedchenko, D.; Tarkhanov, N. Boundary value problems for elliptic complexes. (English) Zbl 1362.58008 Far East J. Math. Sci. (FJMS) 100, No. 9, 1401-1420 (2016). Reviewer: Semyon Dyatlov (Cambridge, MA) MSC: 58J10 47A53 58J40 35N25 PDFBibTeX XMLCite \textit{D. Fedchenko} and \textit{N. Tarkhanov}, Far East J. Math. Sci. (FJMS) 100, No. 9, 1401--1420 (2016; Zbl 1362.58008) Full Text: DOI Link
Chkadua, George Mixed type boundary value problems for polymetaharmonic equations. (English) Zbl 1354.31012 Georgian Math. J. 23, No. 4, 489-510 (2016). Reviewer: Lubomira Softova (Aversa) MSC: 31B35 35J40 35C20 35B65 47G30 PDFBibTeX XMLCite \textit{G. Chkadua}, Georgian Math. J. 23, No. 4, 489--510 (2016; Zbl 1354.31012) Full Text: DOI
Grubb, Gerd Regularity of spectral fractional Dirichlet and Neumann problems. (English) Zbl 1448.47062 Math. Nachr. 289, No. 7, 831-844 (2016). Reviewer: Upain Kumar Mandal (Dhanbad) MSC: 47G30 35R11 47F10 35S15 46E30 PDFBibTeX XMLCite \textit{G. Grubb}, Math. Nachr. 289, No. 7, 831--844 (2016; Zbl 1448.47062) Full Text: DOI arXiv
Krýsl, Svatopluk Elliptic complexes over \(C^\ast\)-algebras of compact operators. (English) Zbl 1334.58010 J. Geom. Phys. 101, 27-37 (2016). MSC: 58J10 58J40 46M18 46L08 46M20 47L80 PDFBibTeX XMLCite \textit{S. Krýsl}, J. Geom. Phys. 101, 27--37 (2016; Zbl 1334.58010) Full Text: DOI arXiv
Aliev, Bahram A.; Amiraslanly, Oktay R. Solvability of boundary value problems for second order elliptic differential-operator equations with a spectral parameter in the equation and boundary conditions. (English) Zbl 1513.35193 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 4, Math., 3-12 (2015). MSC: 35J25 47A10 58J40 PDFBibTeX XMLCite \textit{B. A. Aliev} and \textit{O. R. Amiraslanly}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 4, Math., 3--12 (2015; Zbl 1513.35193) Full Text: Link
Barrios, Begoña; De Bonis, Ida; Medina, María; Peral, Ireneo Semilinear problems for the fractional Laplacian with a singular nonlinearity. (English) Zbl 1357.35279 Open Math. 13, 390-407 (2015). MSC: 35R11 35A01 35A15 35J61 35J75 35S15 49J35 47G20 PDFBibTeX XMLCite \textit{B. Barrios} et al., Open Math. 13, 390--407 (2015; Zbl 1357.35279) Full Text: DOI
Pucci, Patrizia; Saldi, Sara Multiple solutions for an eigenvalue problem involving non-local elliptic \(p\)-Laplacian operators. (English) Zbl 1338.35478 Citti, Giovanna (ed.) et al., Geometric methods in PDE’s. Cham: Springer (ISBN 978-3-319-02665-7/hbk; 978-3-319-02666-4/ebook). Springer INdAM Series 13, 159-176 (2015). MSC: 35R11 35J60 35S15 47G20 PDFBibTeX XMLCite \textit{P. Pucci} and \textit{S. Saldi}, Springer INdAM Ser. 13, 159--176 (2015; Zbl 1338.35478) Full Text: DOI
Yoon, Ji-Hun; Kim, Jeong-Hoon; Jo, Jinnam Singularity of scattering and Dirichlet-to-Neumann operator symbols in elliptic wave propagation models. (English) Zbl 1337.35030 IMA J. Appl. Math. 80, No. 3, 651-675 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 35J05 35P25 47N20 35S05 47A40 81S40 PDFBibTeX XMLCite \textit{J.-H. Yoon} et al., IMA J. Appl. Math. 80, No. 3, 651--675 (2015; Zbl 1337.35030) Full Text: DOI
Behrndt, Jussi; Grubb, Gerd; Langer, Matthias; Lotoreichik, Vladimir Spectral asymptotics for resolvent differences of elliptic operators with \(\delta\) and \(\delta^{'}\)-interactions on hypersurfaces. (English) Zbl 1353.47090 J. Spectr. Theory 5, No. 4, 697-729 (2015). Reviewer: Thomas Krainer (Altoona) MSC: 47F05 35J25 35P20 47G30 81Q10 81Q15 PDFBibTeX XMLCite \textit{J. Behrndt} et al., J. Spectr. Theory 5, No. 4, 697--729 (2015; Zbl 1353.47090) Full Text: DOI arXiv
Molica Bisci, Giovanni; Repovš, Dušan On doubly nonlocal fractional elliptic equations. (English) Zbl 1329.49018 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 2, 161-176 (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 49J45 35A15 35R11 35D30 35R09 35S15 47G20 45G05 PDFBibTeX XMLCite \textit{G. Molica Bisci} and \textit{D. Repovš}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 2, 161--176 (2015; Zbl 1329.49018) Full Text: DOI arXiv
Delgado, Julio A class of invertible subelliptic operators in \(S(m,g)\)-classes. (English) Zbl 1320.35163 Result. Math. 67, No. 3-4, 431-444 (2015). MSC: 35H20 35A27 47G30 PDFBibTeX XMLCite \textit{J. Delgado}, Result. Math. 67, No. 3--4, 431--444 (2015; Zbl 1320.35163) Full Text: DOI
Simões, A. M. A transmission problem for the Helmholtz equation with higher order boundary conditions. (English) Zbl 1317.35021 Oper. Matrices 9, No. 1, 203-223 (2015). MSC: 35J05 35J25 47B35 35S05 47A53 45E10 47F05 35R25 PDFBibTeX XMLCite \textit{A. M. Simões}, Oper. Matrices 9, No. 1, 203--223 (2015; Zbl 1317.35021) Full Text: DOI Link
Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles Trace Hardy-Sobolev-Maz’ya inequalities for the half fractional Laplacian. (English) Zbl 1316.35290 Commun. Pure Appl. Anal. 14, No. 2, 373-382 (2015). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 35R11 35J60 42B20 26D10 47G30 46E35 35P15 35J15 PDFBibTeX XMLCite \textit{S. Filippas} et al., Commun. Pure Appl. Anal. 14, No. 2, 373--382 (2015; Zbl 1316.35290) Full Text: DOI arXiv
Kohr, Mirela; Pintea, Cornel On the invertibility of some elliptic operators on manifolds with boundary and cylindrical ends. (English) Zbl 1322.31006 Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 483-499 (2014). MSC: 31C12 58J05 35S05 47G30 PDFBibTeX XMLCite \textit{M. Kohr} and \textit{C. Pintea}, Springer Optim. Appl. 94, 483--499 (2014; Zbl 1322.31006) Full Text: DOI
Habal, N.; Rungrottheera, W.; Schulze, B.-W. A class of elliptic operators on a manifold with edge and boundary. (English) Zbl 1320.58016 Ruzhansky, Michael (ed.) et al., Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25–29, 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-02549-0/hbk; 978-3-319-02550-6/ebook). Trends in Mathematics, 187-209 (2014). Reviewer: Sönke Hansen (Paderborn) MSC: 58J40 35J70 35S35 47G30 PDFBibTeX XMLCite \textit{N. Habal} et al., in: Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25--29, 2012. Cham: Birkhäuser/Springer. 187--209 (2014; Zbl 1320.58016) Full Text: DOI
Rungrottheera, W.; Schulze, B.-W.; Wong, M. W. Iterative properties of pseudo-differential operators on edge spaces. (English) Zbl 1334.58016 J. Pseudo-Differ. Oper. Appl. 5, No. 4, 455-479 (2014). Reviewer: Claude Zuily (Orsay) MSC: 58J40 47G30 35J70 PDFBibTeX XMLCite \textit{W. Rungrottheera} et al., J. Pseudo-Differ. Oper. Appl. 5, No. 4, 455--479 (2014; Zbl 1334.58016) Full Text: DOI
Kungsman, J.; Melgaard, M. Complex absorbing potential method for the perturbed Dirac operator. (English) Zbl 1301.35121 Commun. Partial Differ. Equations 39, No. 8, 1451-1478 (2014). MSC: 35Q40 35J47 35S05 47A40 47G30 81Q20 PDFBibTeX XMLCite \textit{J. Kungsman} and \textit{M. Melgaard}, Commun. Partial Differ. Equations 39, No. 8, 1451--1478 (2014; Zbl 1301.35121) Full Text: DOI arXiv
Taira, Kazuaki Semigroups, boundary value problems and Markov processes. 2nd ed. (English) Zbl 1314.47001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-662-43695-0/hbk; 978-3-662-43696-7/ebook). xix, 716 p. (2014). Reviewer: Heinrich Hering (Rockenberg) MSC: 47-02 47D07 60J25 35S05 60J50 60J60 46E35 47G20 PDFBibTeX XMLCite \textit{K. Taira}, Semigroups, boundary value problems and Markov processes. 2nd ed. Berlin: Springer (2014; Zbl 1314.47001) Full Text: DOI
Mikhailets, Vladimir A.; Murach, Aleksandr A. Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev. (English) Zbl 1455.46002 De Gruyter Studies in Mathematics 60. Berlin: De Gruyter (ISBN 978-3-11-029685-3/hbk; 978-3-11-029689-1/ebook). xii, 297 p. (2014). Reviewer: Roland Duduchava (Tbilisi) MSC: 46-02 46E35 35J40 35J30 47F10 47G30 35J58 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{A. A. Murach}, Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev. Berlin: De Gruyter (2014; Zbl 1455.46002) Full Text: DOI
Chang, Der-Chen; Habal, N.; Schulze, B.-W. Quantisation on a manifold with singular edge. (English) Zbl 1294.58006 J. Pseudo-Differ. Oper. Appl. 4, No. 3, 317-343 (2013). MSC: 58J40 53D50 35J70 35S35 47G30 PDFBibTeX XMLCite \textit{D.-C. Chang} et al., J. Pseudo-Differ. Oper. Appl. 4, No. 3, 317--343 (2013; Zbl 1294.58006) Full Text: DOI
Cardona, Duván Pseudo-differential operators defined on Borel measures. (Operadores pseudodiferenciales definidos en medidas de Borel.) (Spanish. English summary) Zbl 1326.47057 Rev. Integr. 31, No. 1, 25-42 (2013). Reviewer: Luigi Rodino (Torino) MSC: 47G30 PDFBibTeX XMLCite \textit{D. Cardona}, Rev. Integr. 31, No. 1, 25--42 (2013; Zbl 1326.47057)
Bleecker, David D.; Booß-Bavnbek, Bernhelm Index theory with applications to mathematics and physics. (English) Zbl 1284.58001 Somerville, MA: International Press (ISBN 978-1-57146-264-0/hbk). xxii, 766 p. (2013). Reviewer: In-Sook Kim (Suwon) MSC: 58-02 58J05 58J20 58J35 81T13 57R57 47A53 58J22 58J40 PDFBibTeX XMLCite \textit{D. D. Bleecker} and \textit{B. Booß-Bavnbek}, Index theory with applications to mathematics and physics. Somerville, MA: International Press (2013; Zbl 1284.58001)
Rungrottheera, W. Parameter-dependent corner operators. (English) Zbl 1282.58016 Asian-Eur. J. Math. 6, No. 1, 1350002, 29 p. (2013). Reviewer: Gabriel Rivière (Villeneuve d’Ascq) MSC: 58J40 47G30 35J70 PDFBibTeX XMLCite \textit{W. Rungrottheera}, Asian-Eur. J. Math. 6, No. 1, 1350002, 29 p. (2013; Zbl 1282.58016) Full Text: DOI
Shieh, Narn-Rueih Free fields associated with the relativistic operator \({-(m-\sqrt{m^{2}-\delta})}\). (English) Zbl 1270.81082 J. Pseudo-Differ. Oper. Appl. 3, No. 3, 309-319 (2012). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 81Q05 60G60 47G30 35J08 60J60 PDFBibTeX XMLCite \textit{N.-R. Shieh}, J. Pseudo-Differ. Oper. Appl. 3, No. 3, 309--319 (2012; Zbl 1270.81082) Full Text: DOI Link
Hassi, Seppo (ed.); de Snoo, Hendrik S. V. (ed.); Szafraniec, Franciszek Hugon (ed.) Operator methods for boundary value problems. (English) Zbl 1269.47001 London Mathematical Society Lecture Note Series 404. Cambridge: Cambridge University Press (ISBN 978-1-107-60611-1/pbk; 978-1-139-13506-1/ebook). xii, 298 p. (2012). MSC: 47-06 47E05 47B25 35J25 35S05 00B15 PDFBibTeX XMLCite \textit{S. Hassi} (ed.) et al., Operator methods for boundary value problems. Cambridge: Cambridge University Press (2012; Zbl 1269.47001) Full Text: DOI
Abels, Helmut Pseudodifferential and singular integral operators. An introduction with applications. (English) Zbl 1235.35001 de Gruyter Graduate Lectures. Berlin: de Gruyter (ISBN 978-3-11-025030-5/pbk; 978-3-11-025031-2/ebook). x, 222 p. (2012). Reviewer: Hans Triebel (Jena) MSC: 35-01 47G10 35S05 46E35 PDFBibTeX XMLCite \textit{H. Abels}, Pseudodifferential and singular integral operators. An introduction with applications. Berlin: de Gruyter (2012; Zbl 1235.35001) Full Text: DOI
Grubb, Gerd Kreĭn-like extensions and the lower boundedness problem for elliptic operators. (English) Zbl 1242.47041 J. Differ. Equations 252, No. 2, 852-885 (2012). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47G30 35J25 35P05 35S05 47B25 47F05 PDFBibTeX XMLCite \textit{G. Grubb}, J. Differ. Equations 252, No. 2, 852--885 (2012; Zbl 1242.47041) Full Text: DOI arXiv
Habal, N.; Schulze, B.-W. Holomorphic corner symbols. (English) Zbl 1253.35236 J. Pseudo-Differ. Oper. Appl. 2, No. 4, 419-465 (2011). MSC: 35S35 35J70 47G30 58J40 PDFBibTeX XMLCite \textit{N. Habal} and \textit{B. W. Schulze}, J. Pseudo-Differ. Oper. Appl. 2, No. 4, 419--465 (2011; Zbl 1253.35236) Full Text: DOI
Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick Regularity of radial extremal solutions for some non-local semilinear equations. (English) Zbl 1231.35076 Commun. Partial Differ. Equations 36, No. 7-9, 1353-1384 (2011). Reviewer: Ludwig Kohaupt (Berlin) MSC: 35J61 35B65 35D30 35A01 47G30 35S05 PDFBibTeX XMLCite \textit{A. Capella} et al., Commun. Partial Differ. Equations 36, No. 7--9, 1353--1384 (2011; Zbl 1231.35076) Full Text: DOI arXiv Link
Grubb, Gerd Spectral asymptotics for Robin problems with a discontinuous coefficient. (English) Zbl 1223.35146 J. Spectr. Theory 1, No. 2, 155-177 (2011). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J40 47G30 58C40 58J40 PDFBibTeX XMLCite \textit{G. Grubb}, J. Spectr. Theory 1, No. 2, 155--177 (2011; Zbl 1223.35146) Full Text: DOI arXiv
Ehrhardt, T.; Nolasco, A. P.; Speck, F.-O. Boundary integral methods for wedge diffraction problems: the angle \(2\pi /n\), Dirichlet and Neumann conditions. (English) Zbl 1216.35013 Oper. Matrices 5, No. 1, 1-40 (2011). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35J05 35J25 78A45 45E10 47B35 35C05 35J67 35S05 PDFBibTeX XMLCite \textit{T. Ehrhardt} et al., Oper. Matrices 5, No. 1, 1--40 (2011; Zbl 1216.35013) Full Text: DOI Link
Ruzhansky, Michael (ed.); Wirth, Jens (ed.) Modern aspects of the theory of partial differential equations. Including mainly selected papers based on the presentations at the 7th international ISAAC congress, London, UK, July 13–18, 2009. (English) Zbl 1214.35004 Operator Theory: Advances and Applications 216. Basel: Birkhäuser (ISBN 978-3-0348-0068-6/hbk; 978-3-0348-0069-3/ebook). vi, 367 p. (2011). MSC: 35-06 35Jxx 35Kxx 35Lxx 35Pxx 35Sxx 47Bxx 65Nxx 00B25 PDFBibTeX XMLCite \textit{M. Ruzhansky} (ed.) and \textit{J. Wirth} (ed.), Modern aspects of the theory of partial differential equations. Including mainly selected papers based on the presentations at the 7th international ISAAC congress, London, UK, July 13--18, 2009. Basel: Birkhäuser (2011; Zbl 1214.35004) Full Text: DOI
Dasgupta, Aparajita; Wong, M. W. The semigroup and the inverse of the Laplacian on the Heisenberg group. (English) Zbl 1218.47063 Cubo 12, No. 3, 83-97 (2010). MSC: 47D06 47F05 47G30 35J70 PDFBibTeX XMLCite \textit{A. Dasgupta} and \textit{M. W. Wong}, Cubo 12, No. 3, 83--97 (2010; Zbl 1218.47063) Full Text: DOI
Ouedraogo, Marie-Françoise A symmetrized canonical determinant on odd-class pseudodifferential operators. (English) Zbl 1223.58022 Ocampo, Hernán (ed.) et al., Geometric and topological methods for quantum field theory. Papers based on the presentations at the summer school ‘Geometric and topological methods for quantum field theory’, Villa de Leyva, Colombia, July 2–20, 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-76482-7/hbk; 978-0-511-71797-0/ebook). 381-393 (2010). MSC: 58J40 35S05 47G30 58J32 58J28 PDFBibTeX XMLCite \textit{M.-F. Ouedraogo}, in: Geometric and topological methods for quantum field theory. Papers based on the presentations at the summer school `Geometric and topological methods for quantum field theory', Villa de Leyva, Colombia, July 2--20, 2007. Cambridge: Cambridge University Press. 381--393 (2010; Zbl 1223.58022)
Iftimie, Viorel Compact magnetic pseudodifferential operators. (English) Zbl 1224.35441 Ann. Univ. Buchar., Math. Ser. 1(59), No. 1, 111-119 (2010). Reviewer: Mihai Pascu (Bucuresti) MSC: 35S05 47G30 81Q99 PDFBibTeX XMLCite \textit{V. Iftimie}, Ann. Univ. Buchar., Math. Ser. 1(59), No. 1, 111--119 (2010; Zbl 1224.35441)
Delgado, Julio; Zamudio, Alex M. Invertibility for a class of degenerate elliptic operators. (English) Zbl 1205.35122 J. Pseudo-Differ. Oper. Appl. 1, No. 2, 207-231 (2010). MSC: 35J70 35S05 35A27 47G30 35A08 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{A. M. Zamudio}, J. Pseudo-Differ. Oper. Appl. 1, No. 2, 207--231 (2010; Zbl 1205.35122) Full Text: DOI
Rodríguez-Vega, J. J.; Zúñiga-Galindo, W. A. Elliptic pseudodifferential equations and Sobolev spaces over \(p\)-adic fields. (English) Zbl 1198.47092 Pac. J. Math. 246, No. 2, 407-420 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47S10 47G30 35S05 11S80 PDFBibTeX XMLCite \textit{J. J. Rodríguez-Vega} and \textit{W. A. Zúñiga-Galindo}, Pac. J. Math. 246, No. 2, 407--420 (2010; Zbl 1198.47092) Full Text: DOI arXiv
Nicola, Fabio; Rodino, Luigi Global pseudo-differential calculus on Euclidean spaces. (English) Zbl 1257.47002 Pseudo-Differential Operators. Theory and Applications 4. Basel: Birkhäuser (ISBN 978-3-7643-8511-8/pbk). x, 306 p. (2010). Reviewer: Bernd Ammann (Regensburg) MSC: 47-02 35S05 47G30 58-02 58J40 58J42 PDFBibTeX XMLCite \textit{F. Nicola} and \textit{L. Rodino}, Global pseudo-differential calculus on Euclidean spaces. Basel: Birkhäuser (2010; Zbl 1257.47002)
Egorov, Yu. V.; Nguyen Minh Chuong; Dang Anh Tuan On a semilinear degenerate elliptic boundary value problem for pseudodifferential equations. (English. Russian original) Zbl 1191.35276 Dokl. Math. 80, No. 1, 456-459 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 1, 10-13 (2009). MSC: 35S15 47G30 47N20 35A08 PDFBibTeX XMLCite \textit{Yu. V. Egorov} et al., Dokl. Math. 80, No. 1, 456--459 (2009; Zbl 1191.35276); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 1, 10--13 (2009) Full Text: DOI
Sikora, Adam Multivariable spectral multipliers and analysis of quasielliptic operators on fractals. (English) Zbl 1159.42009 Indiana Univ. Math. J. 58, No. 1, 317-334 (2009). MSC: 42B15 28A80 31C10 47A13 35S05 35J99 43A85 PDFBibTeX XMLCite \textit{A. Sikora}, Indiana Univ. Math. J. 58, No. 1, 317--334 (2009; Zbl 1159.42009) Full Text: DOI arXiv
Calvo, D.; Schulze, B.-W. Edge symbolic structures of second generation. (English) Zbl 1193.35260 Math. Nachr. 282, No. 3, 348-367 (2009). Reviewer: Alina Stancu (Lowell) MSC: 35S05 35J70 58J40 47G30 PDFBibTeX XMLCite \textit{D. Calvo} and \textit{B. W. Schulze}, Math. Nachr. 282, No. 3, 348--367 (2009; Zbl 1193.35260) Full Text: DOI Link
Grubb, Gerd Distributions and operators. (English) Zbl 1171.47001 Graduate Texts in Mathematics 252. New York, NY: Springer (ISBN 978-0-387-84894-5/hbk). xii, 461 p. (2009). Reviewer: David Jornet (Valencia) MSC: 47-02 46-02 46Fxx 46Cxx 47F05 46N20 47N20 47B38 47G30 47A53 58J40 47D06 PDFBibTeX XMLCite \textit{G. Grubb}, Distributions and operators. New York, NY: Springer (2009; Zbl 1171.47001) Full Text: DOI
Mikhajlets, V. A.; Murach, A. A. Hörmander interpolation spaces and elliptic operators. (Russian) Zbl 1199.46056 Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 205-226 (2008). MSC: 46B70 46E35 47G30 PDFBibTeX XMLCite \textit{V. A. Mikhajlets} and \textit{A. A. Murach}, Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 205--226 (2008; Zbl 1199.46056)
Davydov, Aleksandr B.; Balsim, Igor The model form and the \(\zeta\)-function for an elliptic differential operator of the second order on a manifold with turning points. (English) Zbl 1155.47048 Appl. Math. Sci., Ruse 2, No. 21-24, 1073-1099 (2008). Reviewer: Dian K. Palagachev (Bari) MSC: 47F05 58J40 35P20 35J15 PDFBibTeX XMLCite \textit{A. B. Davydov} and \textit{I. Balsim}, Appl. Math. Sci., Ruse 2, No. 21--24, 1073--1099 (2008; Zbl 1155.47048) Full Text: Link
Georgescu, V.; Golénia, S. Compact perturbations and stability of the essential spectrum of singular differential operators. (English) Zbl 1164.47005 J. Oper. Theory 59, No. 1, 115-155 (2008). Reviewer: Roland Duduchava (Tbilisi) MSC: 47A10 58J05 35P05 35S99 47B44 58J50 81Q10 PDFBibTeX XMLCite \textit{V. Georgescu} and \textit{S. Golénia}, J. Oper. Theory 59, No. 1, 115--155 (2008; Zbl 1164.47005)
Castro, L. P.; Kapanadze, D. Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. (English) Zbl 1185.35055 Proc. Am. Math. Soc. 136, No. 6, 2113-2123 (2008). MSC: 35J25 35J05 45E10 47G30 35C05 PDFBibTeX XMLCite \textit{L. P. Castro} and \textit{D. Kapanadze}, Proc. Am. Math. Soc. 136, No. 6, 2113--2123 (2008; Zbl 1185.35055) Full Text: DOI
Abed, Jamil; Schulze, Bert-Wolfgang Operators with corner-degenerate symbols. (English) Zbl 1160.35555 Rodino, Luigi (ed.) et al., New developments in pseudo-differential operators. Selected papers of the 6th congress of the International Society for Analysis, its Applications and Computation (ISAAC), the ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-8968-0/hbk). Operator Theory: Advances and Applications 189, 67-106 (2009). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 35S35 35J70 47G30 PDFBibTeX XMLCite \textit{J. Abed} and \textit{B.-W. Schulze}, Oper. Theory: Adv. Appl. 189, 67--106 (2007; Zbl 1160.35555) Full Text: DOI arXiv
de Gosson, Maurice Phase-space Weyl calculus and global hypoellipticity of a class of degenerate elliptic partial differential operators. (English) Zbl 1210.47070 Rodino, Luigi (ed.) et al., New developments in pseudo-differential operators. Selected papers of the 6th congress of the International Society for Analysis, its Applications and Computation (ISAAC), the ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-8968-0/hbk). Operator Theory: Advances and Applications 189, 1-14 (2009). MSC: 47F05 47G30 35B65 46F05 81S30 PDFBibTeX XMLCite \textit{M. de Gosson}, Oper. Theory: Adv. Appl. 189, 1--14 (2007; Zbl 1210.47070) Full Text: DOI
Epstein, Charles L. Pseudodifferential methods for boundary value problems. (English) Zbl 1136.58015 Rodino, Luigi (ed.) et al., Pseudo-differential operators. Partial differential equations and time-frequency analysis. Selected papers of the ISAAC workshop, Toronto, Canada, December 11–15, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4276-8/hbk). Fields Institute Communications 52, 171-200 (2007). MSC: 58J32 35F15 35J55 47A53 30E25 58J40 PDFBibTeX XMLCite \textit{C. L. Epstein}, Fields Inst. Commun. 52, 171--200 (2007; Zbl 1136.58015)
Martin, C.-I. Corner operators and applications to elliptic complexes. (English) Zbl 1154.35102 Rodino, Luigi (ed.) et al., Pseudo-differential operators. Partial differential equations and time-frequency analysis. Selected papers of the ISAAC workshop, Toronto, Canada, December 11–15, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4276-8/hbk). Fields Institute Communications 52, 85-129 (2007). Reviewer: Leszek Skrzypczak (Poznań) MSC: 35S05 35J70 58J40 47G30 PDFBibTeX XMLCite \textit{C. I. Martin}, Fields Inst. Commun. 52, 85--129 (2007; Zbl 1154.35102)
Schulze, B.-W. Pseudo-differential calculus on manifolds with geometric singularities. (English) Zbl 1141.58016 Rodino, Luigi (ed.) et al., Pseudo-differential operators. Partial differential equations and time-frequency analysis. Selected papers of the ISAAC workshop, Toronto, Canada, December 11–15, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4276-8/hbk). Fields Institute Communications 52, 37-83 (2007). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J40 35S05 35J70 58J05 47G30 PDFBibTeX XMLCite \textit{B. W. Schulze}, Fields Inst. Commun. 52, 37--83 (2007; Zbl 1141.58016)
Parmeggiani, Alberto Introduction to the spectral theory of non-commutative harmonic oscillators. (English) Zbl 1142.35058 COE Lecture Note 8. Fukuoka: Kyushu University, The 21st Century COE Program “DMHF”. v, 233 p. (2007). Reviewer: Luigi Rodino (Torino) MSC: 35P20 35S05 35J45 58J52 35-02 58-02 35P15 81Q20 47A10 47G30 47N50 PDFBibTeX XMLCite \textit{A. Parmeggiani}, Introduction to the spectral theory of non-commutative harmonic oscillators. Fukuoka: Kyushu University, The 21st Century COE Program ``DMHF'' (2007; Zbl 1142.35058)
Korovina, M. V. Relative elliptic operators and the Sobolev problem. II. (English. Russian original) Zbl 1133.58022 Differ. Equ. 43, No. 4, 525-535 (2007); translation from Differ. Uravn. 43, No. 4, 509-518 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 58J40 35S15 35S30 58J05 47A53 47G30 47L80 35J99 47F05 35A30 PDFBibTeX XMLCite \textit{M. V. Korovina}, Differ. Equ. 43, No. 4, 525--535 (2007; Zbl 1133.58022); translation from Differ. Uravn. 43, No. 4, 509--518 (2007) Full Text: DOI
Korovina, M. V. Relative elliptic operators and the Sobolev problem. I. (English. Russian original) Zbl 1133.58021 Differ. Equ. 43, No. 3, 381-395 (2007); translation from Differ. Uravn. 43, No. 3, 368-381 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 58J40 35S15 35S30 58J05 47A53 47G30 47L80 35J99 47F05 35A30 PDFBibTeX XMLCite \textit{M. V. Korovina}, Differ. Equ. 43, No. 3, 381--395 (2007; Zbl 1133.58021); translation from Differ. Uravn. 43, No. 3, 368--381 (2007) Full Text: DOI
Castro, L. P.; Kapanadze, D. On wave diffraction by a half-plane with different face impedances. (English) Zbl 1128.78005 Math. Methods Appl. Sci. 30, No. 5, 513-527 (2007). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 78A45 35J05 78-02 78A40 35J25 35C15 47H50 47G30 47B35 PDFBibTeX XMLCite \textit{L. P. Castro} and \textit{D. Kapanadze}, Math. Methods Appl. Sci. 30, No. 5, 513--527 (2007; Zbl 1128.78005) Full Text: DOI
Witt, Ingo Explicit algebras with the Leibniz-Mellin translation product. (English) Zbl 1182.47039 Math. Nachr. 280, No. 3, 326-337 (2007). MSC: 47G30 35J70 35S05 58J40 47L80 47A60 PDFBibTeX XMLCite \textit{I. Witt}, Math. Nachr. 280, No. 3, 326--337 (2007; Zbl 1182.47039) Full Text: DOI
Hörmander, Lars The analysis of linear partial differential operators. III: Pseudo-differential operators. Reprint of the 1994 ed. (English) Zbl 1115.35005 Classics in Mathematics. Berlin: Springer (ISBN 978-3-540-49937-4/pbk). xii, 525 p. (2007). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35-02 35Sxx 58J40 53D05 47G30 PDFBibTeX XMLCite \textit{L. Hörmander}, The analysis of linear partial differential operators. III: Pseudo-differential operators. Reprint of the 1994 ed. Berlin: Springer (2007; Zbl 1115.35005) Full Text: DOI
Cappiello, Marco; Rodino, Luigi SG-pseudodifferential operators and Gelfand-Shilov spaces. (English) Zbl 1158.35111 Rocky Mt. J. Math. 36, No. 4, 1117-1148 (2006). Reviewer: Petar Popivanov (Sofia) MSC: 35S05 35A18 47G30 35B65 PDFBibTeX XMLCite \textit{M. Cappiello} and \textit{L. Rodino}, Rocky Mt. J. Math. 36, No. 4, 1117--1148 (2006; Zbl 1158.35111) Full Text: DOI Euclid
Wong, M. W. Erhling’s inequality and pseudo-differential operators on \(L^p(\mathbb R^n)\). (English) Zbl 1104.35082 Cubo 8, No. 1, 97-108 (2006). Reviewer: Petar Popivanov (Sofia) MSC: 35S05 47G30 47D06 PDFBibTeX XMLCite \textit{M. W. Wong}, Cubo 8, No. 1, 97--108 (2006; Zbl 1104.35082)
Calvo, D.; Schulze, B. W. Operators on corner manifolds with exit to infinity. (English) Zbl 1260.35262 J. Partial Differ. Equations 19, No. 2, 147-192 (2006). MSC: 35S05 58J40 35J70 47G30 47L80 PDFBibTeX XMLCite \textit{D. Calvo} and \textit{B. W. Schulze}, J. Partial Differ. Equations 19, No. 2, 147--192 (2006; Zbl 1260.35262)
Harutjunjan, G.; Schulze, B.-W. The relative index for corner singularities. (English) Zbl 1152.58021 Integral Equations Oper. Theory 54, No. 3, 385-426 (2006). MSC: 58J32 35J40 35S05 47G30 58J20 PDFBibTeX XMLCite \textit{G. Harutjunjan} and \textit{B. W. Schulze}, Integral Equations Oper. Theory 54, No. 3, 385--426 (2006; Zbl 1152.58021) Full Text: DOI
Lauter, Robert; Monthubert, Bertrand; Nistor, Victor Spectral invariance for certain algebras of pseudodifferential operators. (English) Zbl 1088.35087 J. Inst. Math. Jussieu 4, No. 3, 405-442 (2005). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35S05 47G30 58J40 35J15 46L87 PDFBibTeX XMLCite \textit{R. Lauter} et al., J. Inst. Math. Jussieu 4, No. 3, 405--442 (2005; Zbl 1088.35087) Full Text: DOI arXiv