Arendt, Wolfgang; Bernard, Eddy; Celaries, Benjamin; Chalendar, Isabelle Spectral properties of weighted composition operators on \(\mathrm{Hol}(\mathbb{D})\) induced by rotations. (English) Zbl 07785976 Indiana Univ. Math. J. 72, No. 5, 1789-1820 (2023). MSC: 47A10 30H05 30J99 11Jxx PDFBibTeX XMLCite \textit{W. Arendt} et al., Indiana Univ. Math. J. 72, No. 5, 1789--1820 (2023; Zbl 07785976) Full Text: DOI arXiv
Arendt, W.; ter Elst, A. F. M.; Sauter, M. Nittka’s invariance criterion and Hilbert space valued parabolic equations in \(L_p\). (English) Zbl 07780316 Arch. Math. 121, No. 5-6, 731-744 (2023). MSC: 35B45 35K15 46B20 47D06 PDFBibTeX XMLCite \textit{W. Arendt} et al., Arch. Math. 121, No. 5--6, 731--744 (2023; Zbl 07780316) Full Text: DOI arXiv
Arendt, W.; Chalendar, I.; Eymard, R. Extensions of dissipative and symmetric operators. (English) Zbl 1525.47047 Semigroup Forum 106, No. 2, 339-367 (2023). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B25 47B44 47D06 PDFBibTeX XMLCite \textit{W. Arendt} et al., Semigroup Forum 106, No. 2, 339--367 (2023; Zbl 1525.47047) Full Text: DOI
Arendt, W.; Chalendar, I.; Eymard, R. Lions’ representation theorem and applications. (English) Zbl 1510.35166 J. Math. Anal. Appl. 522, No. 2, Article ID 126946, 23 p. (2023). MSC: 35K90 47B44 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Math. Anal. Appl. 522, No. 2, Article ID 126946, 23 p. (2023; Zbl 1510.35166) Full Text: DOI arXiv
Arendt, Wolfgang; Daners, Daniel Semilinear elliptic equations on rough domains. (English) Zbl 1506.35079 J. Differ. Equations 346, 376-415 (2023). MSC: 35J61 47N20 47H07 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{D. Daners}, J. Differ. Equations 346, 376--415 (2023; Zbl 1506.35079) Full Text: DOI arXiv
Arendt, Wolfgang; Bernard, Eddy; Célariès, Benjamin; Chalendar, Isabelle Denjoy-Wolff theory and spectral properties of weighted composition operators on \(\text{Hol}(\mathbb{D})\). (English) Zbl 07632818 Ill. J. Math. 66, No. 4, 463-489 (2022). Reviewer: Kehe Zhu (Albany) MSC: 47B33 47A10 30H05 PDFBibTeX XMLCite \textit{W. Arendt} et al., Ill. J. Math. 66, No. 4, 463--489 (2022; Zbl 07632818) Full Text: DOI Link
Arendt, W.; Chalendar, I.; Eymard, R. Galerkin approximation of linear problems in Banach and Hilbert spaces. (English) Zbl 1515.65125 IMA J. Numer. Anal. 42, No. 1, 165-198 (2022). MSC: 65J10 65N30 47A07 47N20 PDFBibTeX XMLCite \textit{W. Arendt} et al., IMA J. Numer. Anal. 42, No. 1, 165--198 (2022; Zbl 1515.65125) Full Text: DOI arXiv
Arendt, Wolfgang; Sauter, Manfred The Wentzell Laplacian via forms and the approximative trace. arXiv:2204.12981 Preprint, arXiv:2204.12981 [math.AP] (2022). MSC: 35J05 47D60 31C25 46E35 BibTeX Cite \textit{W. Arendt} and \textit{M. Sauter}, ``The Wentzell Laplacian via forms and the approximative trace'', Preprint, arXiv:2204.12981 [math.AP] (2022) Full Text: arXiv OA License
Arendt, Wolfgang; Chalendar, Isabelle; Moletsane, Boitumelo Perturbation by weakly continuous forms and semigroups on Hardy space. (English) Zbl 1516.47006 J. Oper. Theory 86, No. 2, 331-354 (2021). Reviewer: Heinrich Hering (Rockenberg) MSC: 47A07 47B44 47D03 30H10 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Oper. Theory 86, No. 2, 331--354 (2021; Zbl 1516.47006) Full Text: DOI
Arendt, Wolfgang; Kennedy, James B. Disjointness-preserving operators and isospectral Laplacians. (English) Zbl 1484.35292 J. Spectr. Theory 11, No. 4, 1471-1510 (2021). MSC: 35P05 35J05 35J25 35R30 47B65 47F05 58J53 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{J. B. Kennedy}, J. Spectr. Theory 11, No. 4, 1471--1510 (2021; Zbl 1484.35292) Full Text: DOI arXiv
Arendt, Wolfgang; ter Elst, A. F. M. The Dirichlet-to-Neumann operator on \(C(\partial\Omega)\). (English) Zbl 07372898 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 20, No. 3, 1169-1196 (2020). Reviewer: Ismail Huseynov (Berlin) MSC: 47D06 35J57 35J15 35K08 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 20, No. 3, 1169--1196 (2020; Zbl 07372898) Full Text: DOI arXiv
Arendt, W.; Chalendar, I. Essentially coercive forms and asymptotically compact semigroups. (English) Zbl 1520.47010 J. Math. Anal. Appl. 491, No. 2, Article ID 124318, 28 p. (2020). Reviewer: Sahiba Arora (Dresden) MSC: 47A07 47D03 47A12 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{I. Chalendar}, J. Math. Anal. Appl. 491, No. 2, Article ID 124318, 28 p. (2020; Zbl 1520.47010) Full Text: DOI
Arendt, Wolfgang; ter Elst, A. F. M.; Glück, Jochen Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions. (English) Zbl 1445.35094 Adv. Nonlinear Stud. 20, No. 3, 633-650 (2020). MSC: 35B50 35P05 35K08 47D06 47B65 PDFBibTeX XMLCite \textit{W. Arendt} et al., Adv. Nonlinear Stud. 20, No. 3, 633--650 (2020; Zbl 1445.35094) Full Text: DOI arXiv Backlinks: MO
Arendt, W.; Chalendar, I. Powers of operators: convergence and decomposition. (English) Zbl 1442.30026 Dales, H. Garth (ed.) et al., Complex analysis and spectral theory. Conference in celebration of Thomas Ransford’s 60th birthday, Laval University, Québec, Canada, May 21–25, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 743, 273-280 (2020). MSC: 30D05 47D03 47B33 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{I. Chalendar}, Contemp. Math. 743, 273--280 (2020; Zbl 1442.30026) Full Text: DOI
Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S. Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. (English) Zbl 1439.30083 J. Aust. Math. Soc. 108, No. 3, 289-320 (2020). MSC: 30H30 30H99 47B33 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Aust. Math. Soc. 108, No. 3, 289--320 (2020; Zbl 1439.30083) Full Text: DOI
Arendt, Wolfgang; Hauer, Daniel Maximal \(L^2\)-regularity in nonlinear gradient systems and perturbations of sublinear growth. (English) Zbl 1430.35149 Pure Appl. Anal. 2, No. 1, 23-34 (2020). MSC: 35K92 35K58 47H20 47H10 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{D. Hauer}, Pure Appl. Anal. 2, No. 1, 23--34 (2020; Zbl 1430.35149) Full Text: DOI arXiv
Arendt, W.; Célariès, B.; Chalendar, I. In Koenigs’ footsteps: diagonalization of composition operators. (English) Zbl 1436.30049 J. Funct. Anal. 278, No. 2, Article ID 108313, 24 p. (2020). Reviewer: Joan Fàbrega (Barcelona) MSC: 30H99 47B33 47A10 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Funct. Anal. 278, No. 2, Article ID 108313, 24 p. (2020; Zbl 1436.30049) Full Text: DOI arXiv
Arendt, Wolfgang; Glück, Jochen Positive irreducible semigroups and their long-time behaviour. arXiv:2005.08059 Preprint, arXiv:2005.08059 [math.FA] (2020). MSC: 47D06 47B65 35K15 BibTeX Cite \textit{W. Arendt} and \textit{J. Glück}, ``Positive irreducible semigroups and their long-time behaviour'', Preprint, arXiv:2005.08059 [math.FA] (2020) Full Text: DOI arXiv OA License
Arendt; W; Chalendar, and; I Essentially coercive forms and asympotically compact semigroups. arXiv:2002.01200 Preprint, arXiv:2002.01200 [math.FA] (2020). MSC: 47A07 47B44 47A12 47A10 47D03 BibTeX Cite \textit{Arendt} et al., ``Essentially coercive forms and asympotically compact semigroups'', Preprint, arXiv:2002.01200 [math.FA] (2020) Full Text: arXiv OA License
Arendt, W.; ter Elst, A. F. M. Operators with continuous kernels. (English) Zbl 07123546 Integral Equations Oper. Theory 91, No. 5, Paper No. 45, 20 p. (2019). MSC: 47G10 47B10 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, Integral Equations Oper. Theory 91, No. 5, Paper No. 45, 20 p. (2019; Zbl 07123546) Full Text: DOI arXiv
Arendt, Wolfgang; Chalendar, Isabelle Generators of semigroups on Banach spaces inducing holomorphic semiflows. (English) Zbl 07015399 Isr. J. Math. 229, No. 1, 165-179 (2019). MSC: 47Dxx PDFBibTeX XMLCite \textit{W. Arendt} and \textit{I. Chalendar}, Isr. J. Math. 229, No. 1, 165--179 (2019; Zbl 07015399) Full Text: DOI arXiv
Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus Diffusion with nonlocal Robin boundary conditions. (English) Zbl 1469.35101 J. Math. Soc. Japan 70, No. 4, 1523-1556 (2018). MSC: 35J25 35B35 47D07 60J35 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Math. Soc. Japan 70, No. 4, 1523--1556 (2018; Zbl 1469.35101) Full Text: DOI arXiv Euclid
Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. (English) Zbl 06971428 Indiana Univ. Math. J. 67, No. 4, 1571-1595 (2018). MSC: 47B33 30A05 47A10 47D06 PDFBibTeX XMLCite \textit{W. Arendt} et al., Indiana Univ. Math. J. 67, No. 4, 1571--1595 (2018; Zbl 06971428) Full Text: DOI
Arendt, Wolfgang; Kreuter, Marcel Mapping theorems for Sobolev spaces of vector-valued functions. (English) Zbl 1398.46026 Stud. Math. 240, No. 3, 275-299 (2018). Reviewer: Denise Huet (Nancy) MSC: 46E35 46E40 47H30 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{M. Kreuter}, Stud. Math. 240, No. 3, 275--299 (2018; Zbl 1398.46026) Full Text: DOI arXiv Backlinks: MO
Arendt, W.; Ter Elst, A. F. M. Diffusion determines the compact manifold. (English) Zbl 1382.58026 Zemánek, Jaroslav (ed.) et al., Études opératorielles. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-36-2/pbk). Banach Center Publications 112, 9-14 (2017). Reviewer: Emilio A. Lauret (Córdoba) MSC: 58J53 35P05 47F05 35R30 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. Ter Elst}, Banach Cent. Publ. 112, 9--14 (2017; Zbl 1382.58026) Full Text: DOI arXiv
Arendt, W.; ter Elst, A. F. M. Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. (English) Zbl 06763768 Integral Equations Oper. Theory 88, No. 1, 65-89 (2017). MSC: 47-XX 43-XX 46-XX 35-XX PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, Integral Equations Oper. Theory 88, No. 1, 65--89 (2017; Zbl 06763768) Full Text: DOI
Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan J. L. Lions’ problem on maximal regularity. (English) Zbl 1377.35045 Arch. Math. 109, No. 1, 59-72 (2017). MSC: 35B65 47A07 35K90 35K20 PDFBibTeX XMLCite \textit{W. Arendt} et al., Arch. Math. 109, No. 1, 59--72 (2017; Zbl 1377.35045) Full Text: DOI arXiv Backlinks: MO
Arendt, Wolfgang; Monniaux, Sylvie Maximal regularity for non-autonomous Robin boundary conditions. (English) Zbl 06639277 Math. Nachr. 289, No. 11-12, 1325-1340 (2016). MSC: 47D06 35K20 35K90 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{S. Monniaux}, Math. Nachr. 289, No. 11--12, 1325--1340 (2016; Zbl 06639277) Full Text: DOI arXiv
Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus Diffusion with nonlocal boundary conditions. (English) Zbl 1337.47062 J. Funct. Anal. 270, No. 7, 2483-2507 (2016). MSC: 47D07 60J35 35B35 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Funct. Anal. 270, No. 7, 2483--2507 (2016; Zbl 1337.47062) Full Text: DOI arXiv
Arendt, Wolfgang Countable spectrum, transfinite induction and stability. (English) Zbl 1338.47044 Arendt, Wolfgang (ed.) et al., Operator semigroups meet complex analysis, harmonic analysis and mathematical physics. Proceedings of the conference, Herrnhut, Germany, June 3–7, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-18493-7/hbk; 978-3-319-18494-4/ebook). Operator Theory: Advances and Applications 250, 31-48 (2015). MSC: 47D06 44A10 40E05 PDFBibTeX XMLCite \textit{W. Arendt}, Oper. Theory: Adv. Appl. 250, 31--48 (2015; Zbl 1338.47044) Full Text: DOI
Arendt, W.; ter Elst, A. F. M. The Dirichlet-to-Neumann operator on exterior domains. (English) Zbl 1331.46022 Potential Anal. 43, No. 2, 313-340 (2015). Reviewer: Rodica Luca (Iaşi) MSC: 46E35 47A07 46N20 35J25 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, Potential Anal. 43, No. 2, 313--340 (2015; Zbl 1331.46022) Full Text: DOI
Arendt, Wolfgang (ed.); Chill, Ralph (ed.); Tomilov, Yuri (ed.) Operator semigroups meet complex analysis, harmonic analysis and mathematical physics. Proceedings of the conference, Herrnhut, Germany, June 3–7, 2013. (English) Zbl 1336.47001 Operator Theory: Advances and Applications 250. Cham: Birkhäuser/Springer (ISBN 978-3-319-18493-7/hbk; 978-3-319-18494-4/ebook). ix, 496 p. (2015). MSC: 47-06 42-06 47D03 00B25 PDFBibTeX XMLCite \textit{W. Arendt} (ed.) et al., Operator semigroups meet complex analysis, harmonic analysis and mathematical physics. Proceedings of the conference, Herrnhut, Germany, June 3--7, 2013. Cham: Birkhäuser/Springer (2015; Zbl 1336.47001) Full Text: DOI
Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati Maximal regularity for evolution equations governed by non-autonomous forms. (English) Zbl 1319.35106 Adv. Differ. Equ. 19, No. 11-12, 1043-1066 (2014). Reviewer: Stephan Fackler (Ulm) MSC: 35K90 35K45 47D06 PDFBibTeX XMLCite \textit{W. Arendt} et al., Adv. Differ. Equ. 19, No. 11--12, 1043--1066 (2014; Zbl 1319.35106) Full Text: arXiv Euclid
Arendt, Wolfgang; Ouhabaz, El Maati Invariance of convex sets for non-autonomous evolution equations governed by forms. (English) Zbl 1295.35285 J. Lond. Math. Soc., II. Ser. 89, No. 3, 903-916 (2014). MSC: 35K90 35K59 47A07 35K20 35B05 35B09 35B51 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{E. M. Ouhabaz}, J. Lond. Math. Soc., II. Ser. 89, No. 3, 903--916 (2014; Zbl 1295.35285) Full Text: DOI arXiv
Arendt, Wolfgang; Schätzle, Reiner Semigroups generated by elliptic operators in non-divergence form on \(C_o(\Omega)\). (English) Zbl 1327.35134 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 2, 417-434 (2014). Reviewer: Thomas Kalmes (Chemnitz) MSC: 35K20 35J25 47D06 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{R. Schätzle}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 2, 417--434 (2014; Zbl 1327.35134) Full Text: DOI arXiv
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M. The Dirichlet-to-Neumann operator via hidden compactness. (English) Zbl 1314.47062 J. Funct. Anal. 266, No. 3, 1757-1786 (2014). Reviewer: Thomas Kalmes (Chemnitz) MSC: 47F05 46E35 47A07 35J15 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Funct. Anal. 266, No. 3, 1757--1786 (2014; Zbl 1314.47062) Full Text: DOI arXiv
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B. Analytical aspects of isospectral drums. (English) Zbl 1327.58032 Oper. Matrices 8, No. 1, 255-277 (2014). Reviewer: Emily Dryden (Lewisburg, PA) MSC: 58J53 35P05 47F05 35R30 PDFBibTeX XMLCite \textit{W. Arendt} et al., Oper. Matrices 8, No. 1, 255--277 (2014; Zbl 1327.58032) Full Text: DOI arXiv Link
Arendt, Wolfgang; Mazzeo, Rafe Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. (English) Zbl 1267.35139 Commun. Pure Appl. Anal. 11, No. 6, 2201-2212 (2012). MSC: 35P15 47D06 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{R. Mazzeo}, Commun. Pure Appl. Anal. 11, No. 6, 2201--2212 (2012; Zbl 1267.35139) Full Text: DOI
Arendt, Wolfgang; ter Elst, A. F. M. From forms to semigroups. (English) Zbl 1272.47003 Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 47-69 (2012). Reviewer: Adem Kılıçman (Serdang Selangor) MSC: 47A07 47D06 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, Oper. Theory: Adv. Appl. 221, 47--69 (2012; Zbl 1272.47003) Full Text: DOI arXiv
Arendt, W.; ter Elst, A. F. M. Sectorial forms and degenerate differential operators. (English) Zbl 1243.47009 J. Oper. Theory 67, No. 1, 32-72 (2012). Reviewer: Michael Perelmuter (Kyïv) MSC: 47A07 47D06 35J70 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, J. Oper. Theory 67, No. 1, 32--72 (2012; Zbl 1243.47009) Full Text: arXiv
Arendt, Wolfgang (ed.); Ball, Joseph A. (ed.); Behrndt, Jussi (ed.); Förster, Karl-Heinz (ed.); Mehrmann, Volker (ed.); Trunk, Carsten (ed.) Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. (English) Zbl 1245.47001 Operator Theory: Advances and Applications 221. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). x, 690 p. (2012). MSC: 47-06 15-06 00B25 30-06 35-06 46-06 65-06 81-06 93-06 60-06 42-06 44-06 PDFBibTeX XMLCite \textit{W. Arendt} (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12--16, 2010. Basel: Birkhäuser (2012; Zbl 1245.47001) Full Text: DOI arXiv
Arendt, W.; ter Elst, A. F. M. The Dirichlet-to-Neumann operator on rough domains. (English) Zbl 1241.47036 J. Differ. Equations 251, No. 8, 2100-2124 (2011). Reviewer: Agostino Prástaro (Roma) MSC: 47D06 47D07 35R06 46E35 47A07 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, J. Differ. Equations 251, No. 8, 2100--2124 (2011; Zbl 1241.47036) Full Text: DOI arXiv
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank Vector-valued Laplace transforms and Cauchy problems. 2nd ed. (English) Zbl 1226.34002 Monographs in Mathematics 96. Basel: Birkhäuser (ISBN 978-3-0348-0086-0/hbk; 978-3-0348-0087-7/ebook). xii, 539 p. (2011). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 34-02 44-02 35-02 46F12 44A10 34G10 47A10 47D06 34A25 34A12 PDFBibTeX XMLCite \textit{W. Arendt} et al., Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Basel: Birkhäuser (2011; Zbl 1226.34002) Full Text: DOI
Arendt, Wolfgang; Chovanec, Michal Dirichlet regularity and degenerate diffusion. (English) Zbl 1205.35139 Trans. Am. Math. Soc. 362, No. 11, 5861-5878 (2010). Reviewer: Miklavž Mastinšek (Maribor) MSC: 35K05 47D06 35K20 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{M. Chovanec}, Trans. Am. Math. Soc. 362, No. 11, 5861--5878 (2010; Zbl 1205.35139) Full Text: DOI
Arendt, Wolfgang; Zamboni, Alessandro Decomposing and twisting bisectorial operators. (English) Zbl 1194.47046 Stud. Math. 197, No. 3, 205-227 (2010). Reviewer: Mohammad Bagher Ghaemi (Tehran) MSC: 47D06 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. Zamboni}, Stud. Math. 197, No. 3, 205--227 (2010; Zbl 1194.47046) Full Text: DOI
Arendt, Wolfgang; Nittka, Robin Equivalent complete norms and positivity. (English) Zbl 1182.46006 Arch. Math. 92, No. 5, 414-427 (2009). Reviewer: Şafak Alpay (Ankara) MSC: 46B40 47B65 46B03 03E75 46B26 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{R. Nittka}, Arch. Math. 92, No. 5, 414--427 (2009; Zbl 1182.46006) Full Text: DOI
Arendt, Wolfgang; Rabier, Patrick J. Linear evolution operators on spaces of periodic functions. (English) Zbl 1169.47034 Commun. Pure Appl. Anal. 8, No. 1, 5-36 (2009). Reviewer: Evgeniy Panov (Novgorod) MSC: 47F05 47A53 45M15 42A45 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{P. J. Rabier}, Commun. Pure Appl. Anal. 8, No. 1, 5--36 (2009; Zbl 1169.47034) Full Text: DOI
Arendt, Wolfgang Positive semigroups of kernel operators. (English) Zbl 1151.47047 Positivity 12, No. 1, 25-44 (2008). Reviewer: Vincenzo Vespri (Firenze) MSC: 47D06 47B34 35K05 PDFBibTeX XMLCite \textit{W. Arendt}, Positivity 12, No. 1, 25--44 (2008; Zbl 1151.47047) Full Text: DOI
Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego Gaussian estimates for elliptic operators with unbounded drift. (English) Zbl 1138.47038 J. Math. Anal. Appl. 338, No. 1, 505-517 (2008). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 47F05 35J99 47D06 47A50 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Math. Anal. Appl. 338, No. 1, 505--517 (2008; Zbl 1138.47038) Full Text: DOI
Amann, Herbert (ed.); Arendt, Wolfgang (ed.); Hieber, Matthias (ed.); Neubrander, Frank (ed.); Nicaise, Serge (ed.); von Below, Joachim (ed.) Functional analysis and evolution equations. The Günter Lumer volume. (English) Zbl 1131.46001 Basel: Birkhäuser (ISBN 978-3-7643-7793-9/hbk). xx, 636 p. (2008). MSC: 00B30 35-06 46-06 47-06 60-06 PDFBibTeX XMLCite \textit{H. Amann} (ed.) et al., Functional analysis and evolution equations. The Günter Lumer volume. Basel: Birkhäuser (2008; Zbl 1131.46001) Full Text: DOI
Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César \(L^{p}\)-maximal regularity for nonautonomous evolution equations. (English) Zbl 1126.34037 J. Differ. Equations 237, No. 1, 1-26 (2007). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 34G10 35K90 47D06 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Differ. Equations 237, No. 1, 1--26 (2007; Zbl 1126.34037) Full Text: DOI Backlinks: MO
Arendt, Wolfgang; Batty, Charles J. K. Forms, functional calculus, cosine functions and perturbation. (English) Zbl 1128.47021 Arendt, Wolfgang (ed.) et al., Perspectives in operator theory. Papers of the workshop on operator theory, Warsaw, Poland, April 19–May 3, 2004. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 75, 17-38 (2007). Reviewer: Irina V. Melnikova (Ekaterinburg) MSC: 47A60 35L90 47A07 47D09 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, Banach Cent. Publ. 75, 17--38 (2007; Zbl 1128.47021) Full Text: Link
Arendt, Wolfgang (ed.); Batty, Charles J. K. (ed.); Mbekhta, Mostafa (ed.); Tomilov, Yuri (ed.); Zemánek, Jaroslav (ed.) Perspectives in operator theory. Papers of the workshop on operator theory, Warsaw, Poland, April 19–May 3, 2004. (English) Zbl 1112.47300 Banach Center Publications 75. Warsaw: Polish Academy of Sciences, Institute of Mathematics. 330 p. (2007). MSC: 47-06 00B25 PDFBibTeX XMLCite \textit{W. Arendt} (ed.) et al., Perspectives in operator theory. Papers of the workshop on operator theory, Warsaw, Poland, April 19--May 3, 2004. Warsaw: Polish Academy of Sciences, Institute of Mathematics (2007; Zbl 1112.47300) Full Text: Link
Arendt, Wolfgang; Daners, Daniel Uniform convergence for elliptic problems on varying domains. (English) Zbl 1124.47055 Math. Nachr. 280, No. 1-2, 28-49 (2007). Reviewer: A. Cichocka (Katowice) MSC: 47N20 35K05 35J25 35B25 47D06 47F05 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{D. Daners}, Math. Nachr. 280, No. 1--2, 28--49 (2007; Zbl 1124.47055) Full Text: DOI
Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A. Outgrowths of Hardy’s inequality. (English) Zbl 1113.26017 Chernov, Nikolaj (ed.) et al., Recent advances in differential equations and mathematical physics. UAB international conference on differential equations and mathematical physics, Birmingham, AL, USA, March 29–April 2, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3840-7/pbk). Contemporary Mathematics 412, 51-68 (2006). Reviewer: László Leindler (Szeged) MSC: 26D15 47A05 26D10 PDFBibTeX XMLCite \textit{W. Arendt} et al., Contemp. Math. 412, 51--68 (2006; Zbl 1113.26017)
Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego Schrödinger operators with unbounded drift. (English) Zbl 1107.35052 J. Oper. Theory 55, No. 1, 185-211 (2006). Reviewer: Georg Hetzer (Aldenhoven) MSC: 35K15 35K65 47D07 60J35 35B45 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Oper. Theory 55, No. 1, 185--211 (2006; Zbl 1107.35052)
Arendt, Wolfgang; Batty, Charles J. K. Rank-1 perturbations of cosine functions and semigroups. (English) Zbl 1104.47046 J. Funct. Anal. 238, No. 1, 340-352 (2006). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 47D09 47D03 47A55 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, J. Funct. Anal. 238, No. 1, 340--352 (2006; Zbl 1104.47046) Full Text: DOI
Arendt, Wolfgang; Demuth, Michael Hölder’s inequality for perturbations of positive semigroups by potentials. (English) Zbl 1084.47034 J. Math. Anal. Appl. 316, No. 2, 652-663 (2006). MSC: 47D08 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{M. Demuth}, J. Math. Anal. Appl. 316, No. 2, 652--663 (2006; Zbl 1084.47034) Full Text: DOI
Arendt, Wolfgang; Thomaschewski, Sonja Local operators and forms. (English) Zbl 1099.47035 Positivity 9, No. 3, 357-367 (2005). MSC: 47D06 31C25 46E05 46E30 47B38 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{S. Thomaschewski}, Positivity 9, No. 3, 357--367 (2005; Zbl 1099.47035) Full Text: DOI
Arendt, Wolfgang; Bu, Shangquan Sums of bisectorial operators and applications. (English) Zbl 1088.47002 Integral Equations Oper. Theory 52, No. 3, 299-321 (2005). Reviewer: Constantin Niculescu (Craiova) MSC: 47A10 47B65 47D06 47N20 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{S. Bu}, Integral Equations Oper. Theory 52, No. 3, 299--321 (2005; Zbl 1088.47002) Full Text: DOI
Arendt, Wolfgang; Rhali, Soumia Lalaoui On the well-posedness of the heat equation on unbounded domains. (English) Zbl 1078.35040 Electron. J. Differ. Equ. 2004, Conf. 11, 23-32 (2004). MSC: 35K20 35K05 47D06 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{S. L. Rhali}, Electron. J. Differ. Equ. 2004, 23--32 (2004; Zbl 1078.35040) Full Text: EuDML EMIS
Arendt, Wolfgang Semigroups and evolution equations: functional calculus, regularity and kernel estimates. (English) Zbl 1082.35001 Dafermos, C. M. (ed.) et al., Evolutionary equations. Vol. I. Amsterdam: Elsevier/North-Holland (ISBN 0-444-51131-8/hbk). Handbook of Differential Equations, 1-85 (2004). Reviewer: Davide Guidetti (Bologna) MSC: 35-02 47D06 35K90 35L90 PDFBibTeX XMLCite \textit{W. Arendt}, in: Handbook of differential equations: Evolutionary equations. Vol. I. Amsterdam: Elsevier/North-Holland. 1--85 (2004; Zbl 1082.35001) Backlinks: MO
Arendt, Wolfgang; Bu, Shangquan Operator-valued multiplier theorems characterizing Hilbert spaces. (English) Zbl 1078.42003 J. Aust. Math. Soc. 77, No. 2, 175-184 (2004). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 42A45 47A56 42C99 46C15 47A60 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{S. Bu}, J. Aust. Math. Soc. 77, No. 2, 175--184 (2004; Zbl 1078.42003) Full Text: DOI
Arendt, Wolfgang; Bu, Shangquan Operator-valued Fourier multipliers on periodic Besov spaces and applications. (English) Zbl 1083.42009 Proc. Edinb. Math. Soc., II. Ser. 47, No. 1, 15-33 (2004). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 42B15 47D06 42A45 46E15 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{S. Bu}, Proc. Edinb. Math. Soc., II. Ser. 47, No. 1, 15--33 (2004; Zbl 1083.42009) Full Text: DOI
Arendt, Wolfgang; Batty, Charles; Bu, Shangquan Fourier multipliers for Hölder continuous functions and maximal regularity. (English) Zbl 1073.42005 Stud. Math. 160, No. 1, 23-51 (2004). Reviewer: Miklavž Mastinšek (Maribor) MSC: 42A45 47D06 34G10 PDFBibTeX XMLCite \textit{W. Arendt} et al., Stud. Math. 160, No. 1, 23--51 (2004; Zbl 1073.42005) Full Text: DOI Link
Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S. The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. (English) Zbl 1073.47045 Semigroup Forum 67, No. 2, 247-261 (2003). Reviewer: V. A. Liskevich (Bristol) MSC: 47D06 35J20 35J25 PDFBibTeX XMLCite \textit{W. Arendt} et al., Semigroup Forum 67, No. 2, 247--261 (2003; Zbl 1073.47045) Full Text: DOI
Arendt, Wolfgang; Warma, Mahamadi The Laplacian with Robin boundary conditions on arbitrary domains. (English) Zbl 1028.31004 Potential Anal. 19, No. 4, 341-363 (2003). Reviewer: Stefan G.Samko (Faro) MSC: 31C15 35J25 31C25 46E35 47D03 47D07 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{M. Warma}, Potential Anal. 19, No. 4, 341--363 (2003; Zbl 1028.31004) Full Text: DOI
Arendt, Wolfgang; Bu, Shangquan Tools for maximal regularity. (English) Zbl 1041.47018 Math. Proc. Camb. Philos. Soc. 134, No. 2, 317-336 (2003). Reviewer: Miklavž Mastinšek (Maribor) MSC: 47D06 34G10 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{S. Bu}, Math. Proc. Camb. Philos. Soc. 134, No. 2, 317--336 (2003; Zbl 1041.47018) Full Text: DOI
Arendt, Wolfgang; Warma, Mahamadi Dirichlet and Neumann boundary conditions: what is in between? (English) Zbl 1044.31005 J. Evol. Equ. 3, No. 1, 119-135 (2003). Reviewer: Renming Song (Urbana) MSC: 31C15 31C25 34D05 35A15 35J10 47D07 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{M. Warma}, J. Evol. Equ. 3, No. 1, 119--135 (2003; Zbl 1044.31005) Full Text: DOI
Arendt, Wolfgang; de Pagter, Ben Spectrum and asymptotics of the Black-Scholes partial differential equation in \((L^ 1,L^ \infty)\)-interpolation spaces. (English) Zbl 1052.35029 Pac. J. Math. 202, No. 1, 1-36 (2002). Reviewer: Yana Belopolskaya (Cleveland) MSC: 35B30 35K10 35P05 46M35 46N20 47D06 91B28 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{B. de Pagter}, Pac. J. Math. 202, No. 1, 1--36 (2002; Zbl 1052.35029) Full Text: DOI
Arendt, Wolfgang; Bu, Shangquan The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. (English) Zbl 1018.47008 Math. Z. 240, No. 2, 311-343 (2002). Reviewer: Teresa Regińska (Warszawa) MSC: 47A50 35K90 34G10 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{S. Bu}, Math. Z. 240, No. 2, 311--343 (2002; Zbl 1018.47008) Full Text: DOI
Arendt, W. Does diffusion determine the body? (English) Zbl 1099.35164 J. Reine Angew. Math. 550, 97-123 (2002). MSC: 35R30 35P05 47F05 58J53 PDFBibTeX XMLCite \textit{W. Arendt}, J. Reine Angew. Math. 550, 97--123 (2002; Zbl 1099.35164) Full Text: DOI Backlinks: MO
Arendt, Wolfgang; Bu, Shangquan; Haase, Markus Functional calculus, variational methods and Liapunov’s theorem. (English) Zbl 1002.47020 Arch. Math. 77, No. 1, 65-75 (2001). Reviewer: Khristo N.Boyadzhiev (Ada) MSC: 47D06 35B35 PDFBibTeX XMLCite \textit{W. Arendt} et al., Arch. Math. 77, No. 1, 65--75 (2001; Zbl 1002.47020) Full Text: DOI
Arendt, Wolfgang Approximation of degenerate semigroups. (English) Zbl 1025.47023 Taiwanese J. Math. 5, No. 2, 279-295 (2001). Reviewer: Jürgen Voigt (Dresden) MSC: 47D06 35K05 PDFBibTeX XMLCite \textit{W. Arendt}, Taiwanese J. Math. 5, No. 2, 279--295 (2001; Zbl 1025.47023) Full Text: DOI
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank Vector-valued Laplace transforms and Cauchy problems. (English) Zbl 0978.34001 Monographs in Mathematics. 96. Basel: Birkhäuser. xi, 523 p. (2001). Reviewer: Samuel Zaidman (Montréal) MSC: 34-02 44-02 35-02 46F12 44A10 34G10 47A10 47D06 34A25 PDFBibTeX XMLCite \textit{W. Arendt} et al., Vector-valued Laplace transforms and Cauchy problems. Basel: Birkhäuser (2001; Zbl 0978.34001)
Arendt, Wolfgang Resolvent positive operators and inhomogeneous boundary conditions. (English) Zbl 1072.35077 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 29, No. 3, 639-670 (2000). Reviewer: Leszek Gasiński (Kraków) MSC: 35K20 47D06 PDFBibTeX XMLCite \textit{W. Arendt}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 29, No. 3, 639--670 (2000; Zbl 1072.35077) Full Text: Numdam EuDML
Arendt, Wolfgang; Schweiker, Sibylle Discrete spectrum and almost periodicity. (English) Zbl 0947.34068 Taiwanese J. Math. 3, No. 4, 475-490 (1999). Reviewer: J.Banaś (Rzeszów) MSC: 34L05 34G10 47A10 47D06 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{S. Schweiker}, Taiwanese J. Math. 3, No. 4, 475--490 (1999; Zbl 0947.34068) Full Text: DOI
Arendt, Wolfgang; Batty, Charles J. K. Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. (English) Zbl 0952.34048 Bull. Lond. Math. Soc. 31, No. 3, 291-304 (1999). Reviewer: S.Burys (Kraków) MSC: 34G10 34A12 47D03 34F05 60H10 40E05 47A35 37A30 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, Bull. Lond. Math. Soc. 31, No. 3, 291--304 (1999; Zbl 0952.34048) Full Text: DOI
Arendt, Wolfgang; Bénilan, Philippe Wiener regularity and heat semigroups on spaces of continuous functions. (English) Zbl 0920.35041 Escher, Joachim (ed.) et al., Topics in nonlinear analysis. The Herbert Amann anniversary volume. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 35, 29-49 (1999). Reviewer: W.Lamb (Glasgow) MSC: 35J05 47D06 35B65 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{P. Bénilan}, Prog. Nonlinear Differ. Equ. Appl. 35, 29--49 (1999; Zbl 0920.35041)
Arendt, W.; Driouich, A.; El-Mennaoui, O. On the infinite product of \(C_0\)-semigroups. (English) Zbl 0928.47026 J. Funct. Anal. 160, No. 2, 524-542 (1998). Reviewer: R.Nagel (Tübingen) MSC: 47D06 47D60 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Funct. Anal. 160, No. 2, 524--542 (1998; Zbl 0928.47026) Full Text: DOI
Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias Boundary values of holomorphic semigroups. (English) Zbl 0869.47025 Proc. Am. Math. Soc. 125, No. 3, 635-647 (1997). MSC: 47D06 47F05 PDFBibTeX XMLCite \textit{W. Arendt} et al., Proc. Am. Math. Soc. 125, No. 3, 635--647 (1997; Zbl 0869.47025) Full Text: DOI
Arendt, W. Semigroup properties by Gaussian estimates. (English) Zbl 1074.47508 RIMS Kokyuroku 1009, 162-180 (1997). Reviewer: Xuan Thinh Duong (MR 99g:47088) MSC: 47D06 35J99 PDFBibTeX XMLCite \textit{W. Arendt}, RIMS Kokyuroku 1009, 162--180 (1997; Zbl 1074.47508)
Arendt, Wolfgang; Batty, Charles J. K. The spectral function and principal eigenvalues for Schrödinger operators. (English) Zbl 0898.47037 Potential Anal. 7, No. 1, 415-436 (1997). MSC: 47F05 47D06 35J10 60J65 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, Potential Anal. 7, No. 1, 415--436 (1997; Zbl 0898.47037) Full Text: DOI
Arendt, W.; ter Elst, A. F. M. Gaussian estimates for second order elliptic operators with boundary conditions. (English) Zbl 0879.35041 J. Oper. Theory 38, No. 1, 87-130 (1997). Reviewer: D.Palagachev (Sofia) MSC: 35J25 47A60 47D06 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, J. Oper. Theory 38, No. 1, 87--130 (1997; Zbl 0879.35041)
Arendt, Wolfgang; Batty, Charles J. K. Almost periodic solutions of first- and second-order Cauchy problems. (English) Zbl 0879.34046 J. Differ. Equations 137, No. 2, 363-383 (1997). Reviewer: G.Karakostas (Ioannina) MSC: 34C27 47A10 34G10 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, J. Differ. Equations 137, No. 2, 363--383 (1997; Zbl 0879.34046) Full Text: DOI Link
Arendt, Wolfgang; Batty, Charles J. K. A complex Tauberian theorem and mean ergodic semigroups. (English) Zbl 0836.47032 Semigroup Forum 50, No. 3, 351-366 (1995). Reviewer: D.Somasundaram (Salem) MSC: 47D06 40E05 40H05 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, Semigroup Forum 50, No. 3, 351--366 (1995; Zbl 0836.47032) Full Text: DOI EuDML
Arendt, Wolfgang; Batty, Charles J. K. Principal eigenvalues and perturbation. (English) Zbl 0834.47032 Huijsmans, C. B. (ed.) et al., Operator theory in function spaces and Banach lattices. Essays dedicated to A. C. Zaanen on the occasion of his 80th birthday. Symposium, Univ. of Leiden, NL, September 1993. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 75, 39-55 (1994). Reviewer: M.Wolff (Tübingen) MSC: 47D06 47B65 47A10 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, in: Operator theory in function spaces and Banach lattices. Essays dedicated to A. C. Zaanen on the occasion of his 80th birthday. Symposium, Univ. of Leiden, NL, September 1993. Basel: Birkhäuser. 39--55 (1994; Zbl 0834.47032)
Arendt, W.; El-Mennaoui, O.; Keyantuo, V. Local integrated semigroups: Evolution with jumps of regularity. (English) Zbl 0833.47034 J. Math. Anal. Appl. 186, No. 2, 572-595 (1994). Reviewer: M.Wolff (Tübingen) MSC: 47D06 34G10 PDFBibTeX XMLCite \textit{W. Arendt} et al., J. Math. Anal. Appl. 186, No. 2, 572--595 (1994; Zbl 0833.47034) Full Text: DOI
Arendt, Wolfgang Spectrum and growth of positive semigroups. (English) Zbl 0834.47031 Ferreyra, Guillermo (ed.) et al., Evolution equations. International conference, Louisiana State Univ., Baton Rouge, LA, January 7-11, 1992. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 168, 21-28 (1994). Reviewer: M.Wolff (Tübingen) MSC: 47D06 47B65 47A10 PDFBibTeX XMLCite \textit{W. Arendt}, Lect. Notes Pure Appl. Math. 168, 21--28 (1994; Zbl 0834.47031)
Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed Spectral properties of the operator equation \(AX+XB=Y\). (English) Zbl 0826.47013 Q. J. Math., Oxf. II. Ser. 45, No. 178, 133-149 (1994). Reviewer: S.L.Edelstein (Rostov-na-Donu) MSC: 47A62 47A10 47D06 PDFBibTeX XMLCite \textit{W. Arendt} et al., Q. J. Math., Oxf. II. Ser. 45, No. 178, 133--149 (1994; Zbl 0826.47013) Full Text: DOI
Arendt, Wolfgang Gaussian estimates and interpolation of the spectrum in \(L^ p\). (English) Zbl 0827.35081 Differ. Integral Equ. 7, No. 5-6, 1153-1168 (1994). MSC: 35P05 47D03 47F05 PDFBibTeX XMLCite \textit{W. Arendt}, Differ. Integral Equ. 7, No. 5--6, 1153--1168 (1994; Zbl 0827.35081)
Arendt, Wolfgang; Bukhvalov, Alexander V. Integral representations of resolvents and semigroups. (English) Zbl 0803.47046 Forum Math. 6, No. 1, 111-135 (1994). MSC: 47G10 47D06 47B65 47B07 47B38 47A10 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{A. V. Bukhvalov}, Forum Math. 6, No. 1, 111--135 (1994; Zbl 0803.47046) Full Text: DOI EuDML
Arendt, W.; Batty, C. J. K. Absorption semigroups and Dirichlet boundary conditions. (English) Zbl 0788.47031 Math. Ann. 295, No. 3, 427-448 (1993). Reviewer: W.Arendt (Besançon) MSC: 47D06 35K05 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, Math. Ann. 295, No. 3, 427--448 (1993; Zbl 0788.47031) Full Text: DOI EuDML
Arendt, W. Vector-valued versions of some representation theorems in real analysis. (English) Zbl 0804.47036 Bierstedt, Klaus D. (ed.) et al., Functional analysis. Proceedings of the Essen Conference, held in Essen, Germany, November 24 - 30, 1991. New York, NY: Dekker. Lect. Notes Pure Appl. Math. 150, 33-50 (1993). Reviewer: W.A.Feldman (Fayetteville) MSC: 47B60 46G10 PDFBibTeX XMLCite \textit{W. Arendt}, Lect. Notes Pure Appl. Math. 150, 33--50 (1993; Zbl 0804.47036)
Arendt, Wolfgang; Batty, Charles J. K. Exponential stability of a diffusion equation with absorption. (English) Zbl 0817.35007 Differ. Integral Equ. 6, No. 5, 1009-1024 (1993). MSC: 35B35 47D06 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, Differ. Integral Equ. 6, No. 5, 1009--1024 (1993; Zbl 0817.35007)
Arendt, Wolfgang; Batty, Charles J. K. Holomorphy of the semigroup generated by the Dirichlet Laplacian on \(L^ 1(\Omega)\). (L’holomorphie du semi-groupe engendré par le laplacien Dirichlet sur \(L^ 1(\Omega)\).) (French. English summary) Zbl 0765.47012 C. R. Acad. Sci., Paris, Sér. I 315, No. 1, 31-35 (1992). Reviewer: W.Hazod (Dortmund) MSC: 47D06 47F05 47B38 35J25 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, C. R. Acad. Sci., Paris, Sér. I 315, No. 1, 31--35 (1992; Zbl 0765.47012)
Arendt, W.; Voigt, J. Domination of uniformly continuous semigroups. (English) Zbl 0802.47038 Acta Appl. Math. 27, No. 1-2, 27-31 (1992). MSC: 47D06 46A40 46B42 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{J. Voigt}, Acta Appl. Math. 27, No. 1--2, 27--31 (1992; Zbl 0802.47038) Full Text: DOI
Arendt, Wolfgang; Neubrander, Frank; Schlotterbeck, Ulf Interpolation of semigroups and integrated semigroups. (English) Zbl 0782.47035 Semigroup Forum 45, No. 1, 26-37 (1992). Reviewer: R.Alicki (Gainesville) MSC: 47D06 PDFBibTeX XMLCite \textit{W. Arendt} et al., Semigroup Forum 45, No. 1, 26--37 (1992; Zbl 0782.47035) Full Text: DOI EuDML
Arendt, W.; Batty, C. J. K. Domination and ergodicity for positive semigroups. (English) Zbl 0788.47032 Proc. Am. Math. Soc. 114, No. 3, 743-747 (1992). MSC: 47D06 47B65 47A35 47-06 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{C. J. K. Batty}, Proc. Am. Math. Soc. 114, No. 3, 743--747 (1992; Zbl 0788.47032) Full Text: DOI
Arendt, Wolfgang; Benilan, Philippe Kato’s inequalities and submarkovian semigroups. (Inegalités de Kato et semi-groupes sous-markoviens.) (French) Zbl 0769.47010 Rev. Mat. Univ. Complutense Madr. 5, No. 2-3, 279-308 (1992). Reviewer: N.Angelescu (Bucureşti) MSC: 47D03 47D07 31C45 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{P. Benilan}, Rev. Mat. Univ. Complutense Madr. 5, No. 2--3, 279--308 (1992; Zbl 0769.47010) Full Text: EuDML