Sengupta, Banhirup; Sil, Swarnendu Morrey-Lorentz estimates for Hodge-type systems. (English) Zbl 07906832 Discrete Contin. Dyn. Syst. 45, No. 1, 334-360 (2025). MSC: 35J57 35B65 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rajala, Tapio; Zhu, Zheng Zero volume boundary for extension domains from Sobolev to \(BV\). (English) Zbl 07932543 Rev. Mat. Complut. 37, No. 3, 819-831 (2024). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Jun; Jin, Yongyang; Yu, Zhuonan; Zhang, Qishun Fractional Besov spaces and Hardy inequalities on bounded non-smooth domains. (English) Zbl 07925460 Ann. Mat. Pura Appl. (4) 203, No. 5, 1951-1977 (2024). MSC: 42B35 30H25 26D10 46B70 × Cite Format Result Cite Review PDF Full Text: DOI
Murugan, Mathav Heat kernel for reflected diffusion and extension property on uniform domains. (English) Zbl 07924627 Probab. Theory Relat. Fields 190, No. 1-2, 543-599 (2024). MSC: 31C25 35K08 60J46 60J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Charkaoui, Abderrahim; Ben-loghfyry, Anouar Anisotropic equation based on fractional diffusion tensor for image noise removal. (English) Zbl 07883048 Math. Methods Appl. Sci. 47, No. 12, 9600-9620 (2024). MSC: 35-00 46F12 65R10 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Farwig, Reinhard; Iwabuchi, Tsukasa Sobolev spaces on arbitrary domains and semigroups generated by the fractional Laplacian. (English) Zbl 07863188 Bull. Sci. Math. 193, Article ID 103440, 26 p. (2024). MSC: 46E35 46F12 47Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander Neumann eigenvalues of elliptic operators in Sobolev extension domains. (English) Zbl 1541.35322 Anal. Math. Phys. 14, No. 3, Paper No. 64, 16 p. (2024). MSC: 35P15 35J25 46E35 30C65 × Cite Format Result Cite Review PDF Full Text: DOI
Nigsch, Eduard A.; Ortner, Norbert Quasinormable Fréchet spaces and M. W. Wong’s inequality. (English) Zbl 1545.46005 J. Pseudo-Differ. Oper. Appl. 15, No. 2, Paper No. 40, 7 p. (2024). Reviewer: Zoran Kadelburg (Beograd) MSC: 46A04 46E10 46E35 46A13 46M40 46F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Ziming; Yao, Liding New estimates of Rychkov’s universal extension operator for Lipschitz domains and some applications. (English) Zbl 07836735 Math. Nachr. 297, No. 4, 1407-1443 (2024). MSC: 47Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alkın, Aykut; Mantzavinos, Dionyssios; Özsarı, Türker Local well-posedness of the higher-order nonlinear Schrödinger equation on the half-line: single-boundary condition case. (English) Zbl 1539.35225 Stud. Appl. Math. 152, No. 1, 203-248 (2024). MSC: 35Q55 35Q41 35Q53 35G16 35G31 35A01 35A02 35J10 78A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arhancet, Cédric Sobolev algebras on Lie groups and noncommutative geometry. (English) Zbl 07828324 J. Noncommut. Geom. 18, No. 2, 451-500 (2024). MSC: 46L87 58B34 43A80 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lafleche, Laurent On quantum Sobolev inequalities. (English) Zbl 07826754 J. Funct. Anal. 286, No. 10, Article ID 110400, 40 p. (2024). MSC: 46N50 46E35 47G30 81Q20 81S30 47A30 81S07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mohanta, Kaushik Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains. (English) Zbl 1542.46029 Calc. Var. Partial Differ. Equ. 63, No. 2, Paper No. 31, 17 p. (2024). MSC: 46E35 42B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Bravo, Miguel; Rajala, Tapio; Takanen, Jyrki A necessary condition for Sobolev extension domains in higher dimensions. (English) Zbl 1542.46023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 240, Article ID 113446, 22 p. (2024). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dhifaoui, Anis Very weak solution for the stationary exterior Stokes equations with non-standard boundary conditions in \(L^p\)-theory. (English) Zbl 1530.76020 Math. Methods Appl. Sci. 46, No. 1, 641-655 (2023). Reviewer: Dagmar Medková (Praha) MSC: 76D07 76D03 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, V.; Bueno, H.; Medeiros, A. H. S.; Pereira, G. A. On the convergence of the fractional relativistic Schrödinger operator. (On the convergence of the fractional relativistic Schrodinger operator.) (English) Zbl 1542.47062 Bull. Braz. Math. Soc. (N.S.) 54, No. 4, Paper No. 56, 28 p. (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47G30 35R11 33C10 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
García-Bravo, Miguel; Ikonen, Toni; Zhu, Zheng Extensions and approximations of Banach-valued Sobolev functions. (English) Zbl 1545.46029 Math. Z. 305, No. 4, Paper No. 67, 50 p. (2023). MSC: 46E35 46E36 30L99 46E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maréchal, Pierre; Lee, Walter Simo Tao; Triki, Faouzi A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation. (English) Zbl 1525.35079 J. Inverse Ill-Posed Probl. 31, No. 5, 669-685 (2023). MSC: 35J05 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doležalová, Anna; Hencl, Stanislav; Malý, Jan Weak limit of homeomorphisms in \(W^{1, n-1}\) and (INV) condition. (English) Zbl 1526.74008 Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 80, 54 p. (2023). MSC: 74B20 74G65 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castro, Hernán; Cornejo, Marco Poincaré’s inequality and Sobolev spaces with monomial weights. (English) Zbl 1535.46039 Math. Nachr. 296, No. 10, 4500-4522 (2023). MSC: 46E35 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Kovács, Mihály; Vághy, Mihály A. Nonlinear semigroups for nonlocal conservation laws. (English) Zbl 1521.35083 SN Partial Differ. Equ. Appl. 4, No. 4, Paper No. 32, 26 p. (2023). MSC: 35F25 35Q49 45K05 47H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takanen, Jyrki Dimension estimate for the two-sided points of planar Sobolev extension domains. (English) Zbl 1527.46026 Proc. Am. Math. Soc. 151, No. 9, 3779-3792 (2023). MSC: 46E35 28A75 26B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ambrosio, Vincenzo On the lifting property for the Lipschitz spaces \(\varLambda_{\alpha }\) with \(\alpha >0\). (English) Zbl 1509.33005 Fract. Calc. Appl. Anal. 26, No. 1, 351-369 (2023). MSC: 33C10 26A16 41A05 46M35 26B35 × Cite Format Result Cite Review PDF Full Text: DOI
Azroul, Elhoussine; Benkirane, Abdelmoujib; Shimi, Mohammed; Srati, Mohammed Embedding and extension results in fractional Musielak-Sobolev spaces. (English) Zbl 1523.46024 Appl. Anal. 102, No. 1, 195-219 (2023). MSC: 46E35 35R11 35J20 47G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Juusti, Jonne Extension in generalized Orlicz-Sobolev spaces. (English) Zbl 1512.46023 J. Math. Anal. Appl. 522, No. 1, Article ID 126941, 12 p. (2023). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 46E35 46E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campos, Pedro Bessel potentials and Lions-Calderón spaces. (English. Portuguese summary) Zbl 1531.42044 Bol. Soc. Port. Mat. 80, 21-38 (2022). MSC: 42B35 42B10 46E35 35R11 44A15 × Cite Format Result Cite Review PDF Full Text: Link
Gavitone, Nunzia; Paoli, Gloria; Piscitelli, Gianpaolo; Sannipoli, Rossano An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole. (English) Zbl 1516.35281 Pac. J. Math. 320, No. 2, 241-259 (2022). MSC: 35P15 28A75 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koskela, Pekka; Ukhlov, Alexander; Zhu, Zheng The volume of the boundary of a Sobolev \((p,q)\)-extension domain. (English) Zbl 1503.46034 J. Funct. Anal. 283, No. 12, Article ID 109703, 49 p. (2022). Reviewer: Şerban Costea (Piteşti) MSC: 46E35 30L99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haarala, Akseli; Sarsa, Saara Global second order Sobolev-regularity of \(p\)-harmonic functions. (English) Zbl 1511.35196 J. Differ. Equations 339, 232-260 (2022). Reviewer: Mihai Mihăilescu (Craiova) MSC: 35J92 35J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Bravo, Miguel; Rajala, Tapio Strong BV-extension and \(W^{1,1}\)-extension domains. (English) Zbl 1504.46041 J. Funct. Anal. 283, No. 10, Article ID 109665, 39 p. (2022). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Qi; Pan, Xinghong A review of results on axially symmetric Navier-Stokes equations, with addendum by X. Pan and Q. Zhang. (English) Zbl 1513.35443 Anal. Theory Appl. 38, No. 3, 243-296 (2022). MSC: 35Q30 76N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Felli, Veronica; Siclari, Giovanni Unique continuation from a crack’s tip under Neumann boundary conditions. (English) Zbl 1491.35091 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 113002, 36 p. (2022). MSC: 35B60 35B44 35C20 35J25 74A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Bravo, Miguel; Rajala, Tapio; Zhu, Zheng Bi-Lipschitz invariance of planar \(BV\)- and \(W^{1,1}\)-extension domains. (English) Zbl 1530.46027 Proc. Am. Math. Soc. 150, No. 6, 2535-2543 (2022). Reviewer: Eduard Curca (Lyon) MSC: 46E35 26B30 30C62 30C65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dekkers, Adrien; Rozanova-Pierrat, Anna Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains. (English) Zbl 1485.35285 J. Math. Anal. Appl. 512, No. 1, Article ID 126089, 45 p. (2022). MSC: 35L20 35L71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dekkers, Adrien; Rozanova-Pierrat, Anna; Teplyaev, Alexander Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries. (English) Zbl 1495.35111 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 75, 44 p. (2022). MSC: 35L20 35L72 35R05 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Zhang, Qi S. Bounded solutions to the axially symmetric Navier Stokes equation in a cusp region. (English) Zbl 1481.35316 J. Differ. Equations 312, 407-473 (2022). MSC: 35Q30 76D05 76D10 35B07 35B65 35B45 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Langowski, Bartosz; Nowak, Adam On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions. (English) Zbl 1479.42074 J. Fourier Anal. Appl. 28, No. 1, Paper No. 1, 59 p. (2022). MSC: 42C10 42C05 42B10 42C20 42C30 33C45 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grafakos, Loukas; Mastyło, Mieczysław; Slavíková, Lenka A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type. (English) Zbl 1479.42033 J. Funct. Anal. 282, No. 3, Article ID 109295, 36 p. (2022). Reviewer: Hussain Al-Qassem (Doha) MSC: 42B15 42B25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ambrosio, Vincenzo On the fractional relativistic Schrödinger operator. (English) Zbl 1495.47074 J. Differ. Equations 308, 327-368 (2022). Reviewer: Miyeon Kwon (Platteville) MSC: 47G30 35R11 42B35 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Vincenzo The nonlinear fractional relativistic Schrödinger equation: existence, multiplicity, decay and concentration results. (English) Zbl 1483.35314 Discrete Contin. Dyn. Syst. 41, No. 12, 5659-5705 (2021). MSC: 35R11 35J10 35J20 35J60 35B09 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shishkina, Elina; Ekincioğlu, Ismail; Keskin, Cansu Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation. (English) Zbl 1501.47091 Integral Transforms Spec. Funct. 32, No. 12, 932-947 (2021). MSC: 47G40 42B37 × Cite Format Result Cite Review PDF Full Text: DOI
Ait Bella, Fatimzehrae; Hadri, Aissam; Hakim, Abdelilah; Laghrib, Amine A nonlocal Weickert type PDE applied to multi-frame super-resolution. (English) Zbl 1472.94002 Evol. Equ. Control Theory 10, No. 3, 633-655 (2021). MSC: 94A08 42C15 35Q94 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Selmi, Belgacem; Khelifi, Chahiba Linear and nonlinear Bessel potentials associated with the poly-axially operator. (English) Zbl 1478.46038 Integral Transforms Spec. Funct. 32, No. 4, 316-331 (2021); retraction ibid. 32, No. 4, 316-331 (2021). MSC: 46E35 44A15 46F12 × Cite Format Result Cite Review PDF Full Text: DOI
Cardona, Duván; Esquivel, Liliana On the Benjamin-Ono equation in the half line. (English) Zbl 1479.35651 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112427, 21 p. (2021). MSC: 35Q35 35Q53 35Q15 35A01 46N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frazier, Michael; Roudenko, Svetlana Littlewood-Paley theory for matrix-weighted function spaces. (English) Zbl 1468.42025 Math. Ann. 380, No. 1-2, 487-537 (2021). Reviewer: Koichi Saka (Akita) MSC: 42B35 42B20 42B25 47B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Selmi, Belgacem; Khelifi, Chahiba Linear and nonlinear Bessel potentials associated with the poly-axially operator. (English) Zbl 1476.46044 Integral Transforms Spec. Funct. 32, No. 2, 90-104 (2021). MSC: 46E35 44A15 46F12 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, You-Wei A supercritical estimate for Bessel potentials on Lorentz spaces. (English) Zbl 1464.26005 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 2, Paper No. 18, 27 p. (2021). MSC: 26A33 26A16 × Cite Format Result Cite Review PDF Full Text: DOI
Hinz, Michael; Rozanova-Pierrat, Anna; Teplyaev, Alexander Non-Lipschitz uniform domain shape optimization in linear acoustics. (English) Zbl 1465.76087 SIAM J. Control Optim. 59, No. 2, 1007-1032 (2021). MSC: 76N25 76Q05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ukhlov, Alexander Extension operators on Sobolev spaces with decreasing integrability. (English) Zbl 1487.46035 Trans. A. Razmadze Math. Inst. 174, No. 3, 381-388 (2020). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang Trace operators on regular trees. (English) Zbl 1478.46041 Anal. Geom. Metr. Spaces 8, 396-409 (2020). MSC: 46E36 31E05 × Cite Format Result Cite Review PDF Full Text: DOI
Kružík, Martin; Melching, David; Stefanelli, Ulisse Quasistatic evolution for dislocation-free finite plasticity. (English) Zbl 1465.35373 ESAIM, Control Optim. Calc. Var. 26, Paper No. 123, 23 p. (2020). Reviewer: Adina Chirila (Braşov) MSC: 35Q74 49J40 74C15 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minakowski, Piotr; Richter, Thomas Finite element error estimates on geometrically perturbed domains. (English) Zbl 1458.65152 J. Sci. Comput. 84, No. 2, Paper No. 30, 19 p. (2020). Reviewer: Michael Jung (Dresden) MSC: 65N30 65N15 35J25 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Su, Xiaoyan; Zheng, Jiqiang Hölder regularity for the time fractional Schrödinger equation. (English) Zbl 1446.35254 Math. Methods Appl. Sci. 43, No. 7, 4847-4870 (2020). MSC: 35R11 35B65 42B15 35A09 35L05 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corbin, James E. Convergence of spectra of uniformly fattened open book structures. (English) Zbl 1448.58024 J. Math. Anal. Appl. 489, No. 2, Article ID 124181, 32 p. (2020). MSC: 58J50 35P05 35R01 58A35 81Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sawano, Yoshihiro Homogeneous Besov spaces. (English) Zbl 1437.42034 Kyoto J. Math. 60, No. 1, 1-43 (2020). MSC: 42B35 46A04 30H05 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Galkowski, Jeffrey Distribution of resonances in scattering by thin barriers. (English) Zbl 1453.35002 Memoirs of the American Mathematical Society 1248. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3572-1/print; 978-1-4704-5251-3/ebook). ix, 152 p. (2019). MSC: 35-02 35A27 35B34 35P05 35P25 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Gong, Xianghong Hölder estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary. (English) Zbl 1432.32049 Math. Ann. 374, No. 1-2, 841-880 (2019). Reviewer: Harold P. Boas (College Station) MSC: 32W05 32T15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arfi, Kevin; Rozanova-Pierrat, Anna Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by \(d\)-sets. (English) Zbl 1416.35095 Discrete Contin. Dyn. Syst., Ser. S 12, No. 1, 1-26 (2019). MSC: 35J25 46E35 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ducasse, Romain; Rossi, Luca Blocking and invasion for reaction-diffusion equations in periodic media. (English) Zbl 1403.35133 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 142, 39 p. (2018). Reviewer: Joseph Shomberg (Providence) MSC: 35K57 35B09 35B35 35B40 35C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Babutzka, Jens; Kunstmann, Peer Christian \(L^p\)-Helmholtz decomposition on periodic domains and applications to Navier-Stokes equations. (English) Zbl 1444.76042 J. Math. Fluid Mech. 20, No. 3, 1093-1121 (2018). MSC: 76D05 76D03 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Brander, Tommi; Ilmavirta, Joonas; Kar, Manas Superconductive and insulating inclusions for linear and non-linear conductivity equations. (English) Zbl 1398.35286 Inverse Probl. Imaging 12, No. 1, 91-123 (2018). MSC: 35R30 35J92 35J62 78A48 94A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kubo, Takayuki; Matsui, Ranmaru On pressure stabilization method for nonstationary Navier-Stokes equations. (English) Zbl 1394.35213 Commun. Pure Appl. Anal. 17, No. 6, 2283-2307 (2018). MSC: 35K20 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Shibata, Yoshihiro On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain. (English) Zbl 1397.35179 Commun. Pure Appl. Anal. 17, No. 4, 1681-1721 (2018). MSC: 35Q30 76D05 35R35 76D03 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuguchi, Makoto; Tanaka, Kazuaki; Sekine, Kouta; Oishi, Shin’ichi Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains. (English) Zbl 1386.46036 J. Inequal. Appl. 2017, Paper No. 299, 18 p. (2017). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Junqiang; Chang, Der-Chen; Yang, Dachun Characterizations of Sobolev spaces associated to operators satisfying off-diagonal estimates on balls. (English) Zbl 1378.46028 Math. Methods Appl. Sci. 40, No. 8, 2907-2929 (2017). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 46E35 47A60 47D08 47B38 35J70 30L99 × Cite Format Result Cite Review PDF Full Text: DOI
Fanciullo, Maria Stella; Lamberti, Pier Domenico On Burenkov’s extension operator preserving Sobolev-Morrey spaces on Lipschitz domains. (English) Zbl 1366.42026 Math. Nachr. 290, No. 1, 37-49 (2017). Reviewer: Dachun Yang (Beijing) MSC: 42B35 46E30 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gurbuz, F. Weighted Morrey and weighted fractional Sobolev-Morrey spaces estimates for a large class of pseudo-differential operators with smooth symbols. (English) Zbl 06768761 J. Pseudo-Differ. Oper. Appl. 7, No. 4, 595-607 (2016). MSC: 47G30 42B20 42B25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Schneider, Matti On the effective viscosity of a periodic suspension – analysis of primal and dual formulations for Newtonian and non-Newtonian solvents. (English) Zbl 1342.35266 Math. Methods Appl. Sci. 39, No. 12, 3309-3327 (2016). MSC: 35Q35 76T20 35B27 76D07 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Achdou, Yves; Deheuvels, Thibaut A transmission problem across a fractal self-similar interface. (English) Zbl 1375.35135 Multiscale Model. Simul. 14, No. 2, 708-736 (2016). MSC: 35J25 28A80 46E35 35B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shibata, Yoshihiro Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain. (English) Zbl 1419.35256 Discrete Contin. Dyn. Syst., Ser. S 9, No. 1, 315-342 (2016). MSC: 35R35 35B30 35Q30 76D03 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Bernardis, Ana; Martín-Reyes, Francisco J.; Stinga, Pablo Raúl; Torrea, José L. Maximum principles, extension problem and inversion for nonlocal one-sided equations. (English) Zbl 1339.35340 J. Differ. Equations 260, No. 7, 6333-6362 (2016). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 35R11 34A08 35B50 35A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shvartsman, Pavel; Zobin, Nahum On planar Sobolev \(L_p^m\)-extension domains. (English) Zbl 1337.46027 Adv. Math. 287, 237-346 (2016). Reviewer: Hans Triebel (Jena) MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brander, Tommi Calderón problem for the \(p\)-Laplacian: first order derivative of conductivity on the boundary. (English) Zbl 1339.35342 Proc. Am. Math. Soc. 144, No. 1, 177-189 (2016). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 35R30 35J92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tanaka, Kazuaki; Sekine, Kouta; Mizuguchi, Makoto; Oishi, Shin’ichi Estimation of Sobolev-type embedding constant on domains with minimally smooth boundary using extension operator. (English) Zbl 1346.46030 J. Inequal. Appl. 2015, Paper No. 389, 23 p. (2015). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ihnatsyeva, Lizaveta; Korte, Riikka Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space. (English) Zbl 1345.46029 Math. Nachr. 288, No. 11-12, 1303-1316 (2015). MSC: 46E35 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tupputi, Maria Rosaria Weighted inequalities in some potential spaces on the upper half space of \(\mathbb R^{n+1}\). (English) Zbl 1331.26046 Potential Anal. 42, No. 1, 293-309 (2015). Reviewer: Javier Soria (Barcelona) MSC: 26D15 42B35 47G40 × Cite Format Result Cite Review PDF Full Text: DOI
Enomoto, Yuko; von Below, Lorenz; Shibata, Yoshihiro On some free boundary problem for a compressible barotropic viscous fluid flow. (English) Zbl 1321.35264 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 55-89 (2014). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35R35 35K35 76N10 × Cite Format Result Cite Review PDF Full Text: DOI
Langowski, Bartosz Sobolev spaces associated with Jacobi expansions. (English) Zbl 1310.46036 J. Math. Anal. Appl. 420, No. 2, 1533-1551 (2014). MSC: 46E35 47B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brewster, Kevin; Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius Extending Sobolev functions with partially vanishing traces from locally \(({\epsilon},{\delta})\)-domains and applications to mixed boundary problems. (English) Zbl 1312.46042 J. Funct. Anal. 266, No. 7, 4314-4421 (2014). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis Classical solutions for a logarithmic fractional diffusion equation. (English) Zbl 1322.35167 J. Math. Pures Appl. (9) 101, No. 6, 901-924 (2014). Reviewer: Chuanzhi Bai (Huaian) MSC: 35R11 35K55 35S10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boulmezaoud, Tahar Z. Fourier transform is an isometry on some weighted Sobolev spaces. (English) Zbl 1281.42008 J. Math. Pures Appl. (9) 99, No. 4, 489-508 (2013). Reviewer: Lubomira Softova (Aversa) MSC: 42B10 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Cascante, Carme; Ortega, Joaquin M. On a characterization of bilinear forms on the Dirichlet space. (English) Zbl 1276.30063 Proc. Am. Math. Soc. 140, No. 7, 2429-2440 (2012). MSC: 30H99 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Opic, Bohumír Continuous and compact embeddings of Bessel-potential-type spaces. (English) Zbl 1261.26002 Brown, B. Malcolm (ed.) et al., Spectral theory, function spaces and inequalities. New techniques and recent trends. Dedicated to David Edmund and Des Evans to their 80th and 70th birthdays. Berlin: Springer (ISBN 978-3-0348-0262-8/hbk; 978-3-0348-0263-5/ebook). Operator Theory: Advances and Applications 219, 157-196 (2012). Reviewer: Edward Omey (Brussels) MSC: 26A12 46E30 46E35 26A15 26A16 47B38 26D10 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun Universal extension for Sobolev spaces of differential forms and applications. (English) Zbl 1302.46024 J. Funct. Anal. 263, No. 2, 364-382 (2012). Reviewer: Luboš Pick (Praha) MSC: 46E35 58A10 × Cite Format Result Cite Review PDF Full Text: DOI
Shibata, Yoshihiro; Shimizu, Senjo Maximal \(L_{p}\)-\(L_{q}\) regularity for the two-phase Stokes equations; model problems. (English) Zbl 1230.35089 J. Differ. Equations 251, No. 2, 373-419 (2011). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q30 76D07 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Heikkinen, Toni; Tuominen, Heli Orlicz-Sobolev extensions and measure density condition. (English) Zbl 1208.46032 J. Math. Anal. Appl. 368, No. 2, 508-524 (2010). MSC: 46E35 30L99 × Cite Format Result Cite Review PDF Full Text: DOI
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness. (English) Zbl 1197.46017 Potential Anal. 32, No. 3, 201-228 (2010). MSC: 46E35 46E30 26B35 26D15 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Shvartsman, Pavel On Sobolev extension domains in \(\mathbb R^n\). (English) Zbl 1197.46019 J. Funct. Anal. 258, No. 7, 2205-2245 (2010). Reviewer: Jesús Hernández (Madrid) MSC: 46E35 46E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír Optimal embeddings and compact embeddings of Bessel-potential-type spaces. (English) Zbl 1179.46029 Math. Z. 262, No. 3, 645-682 (2009). Reviewer: Hans Triebel (Jena) MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mitrea, Dorina A generalization of Dahlberg’s theorem concerning the regularity of harmonic Green potentials. (English) Zbl 1148.35020 Trans. Am. Math. Soc. 360, No. 7, 3771-3793 (2008). Reviewer: Dagmar Medková (Praha) MSC: 35J25 31A10 31B10 × Cite Format Result Cite Review PDF Full Text: DOI
Mangoubi, Dan Spectral flexibility of symplectic manifolds \(T^{2} \times M\). (English) Zbl 1146.53048 Math. Ann. 341, No. 1, 1-13 (2008). MSC: 53D05 35P15 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cascon, J. Manuel; Nochetto, Ricardo H.; Siebert, Kunibert G. Design and convergence of AFEM in \(H\)(div). (English) Zbl 1144.65064 Math. Models Methods Appl. Sci. 17, No. 11, 1849-1881 (2007). Reviewer: Constantin Popa (Constanţa) MSC: 65N12 65N15 65N30 35J25 65N50 35R05 × Cite Format Result Cite Review PDF Full Text: DOI
Mitrea, Irina; Mitrea, Marius The Poisson problem with mixed boundary conditions in Sobolev and Besov spaces in non-smooth domains. (English) Zbl 1190.35063 Trans. Am. Math. Soc. 359, No. 9, 4143-4182 (2007). MSC: 35J05 35B30 35J25 42B20 × Cite Format Result Cite Review PDF Full Text: DOI
Rogers, Luke G. Degree-independent Sobolev extension on locally uniform domains. (English) Zbl 1158.46025 J. Funct. Anal. 235, No. 2, 619-665 (2006). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Briane, Marc; Mokobodzki, Gabriel; Murat, François Variations on a strange semi-continuity result. (English) Zbl 1081.47049 J. Funct. Anal. 227, No. 1, 78-112 (2005). Reviewer: Dagmar Medková (Praha) MSC: 47F05 × Cite Format Result Cite Review PDF Full Text: DOI
Horvat, Lana; Žubrinić, Darko Maximally singular Sobolev functions. (English) Zbl 1073.46023 J. Math. Anal. Appl. 304, No. 2, 531-541 (2005). Reviewer: Giorgi Oniani (Kutaisi) MSC: 46E35 28A78 × Cite Format Result Cite Review PDF Full Text: DOI
Ortner, Norbert On some contributions of John Horváth to the theory of distributions. (English) Zbl 1063.46027 J. Math. Anal. Appl. 297, No. 2, 353-383 (2004). Reviewer: Antonio Galbis (Valencia) MSC: 46F10 01A60 46N20 × Cite Format Result Cite Review PDF Full Text: DOI
Žubrinić, Darko Singular sets of Sobolev functions. (English. Abridged French version) Zbl 1007.46033 C. R., Math., Acad. Sci. Paris 334, No. 7, 539-544 (2002). Reviewer: Emmanuel Russ (Marseille) MSC: 46E35 31B15 × Cite Format Result Cite Review PDF Full Text: DOI
Cruz-Báez, D. I.; Rodríguez, J. Spaces of distributions of Besov and Triebel-Lizorkin type for the Fourier-Bessel transform. (English) Zbl 1006.46029 J. Math. Anal. Appl. 259, No. 1, 51-63 (2001). Reviewer: Hideo Yamagata (Osaka) MSC: 46F05 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Tai, Wei-Shyan A capacitary weak type inequality for Sobolev functions and its applications. (English) Zbl 0970.42014 Proc. Am. Math. Soc. 129, No. 3, 699-711 (2001). Reviewer: Maria Roginskaya (Göteborg) MSC: 42B25 46E35 41A30 × Cite Format Result Cite Review PDF Full Text: DOI