Edit Profile (opens in new tab) Arendt, Wolfgang Co-Author Distance Author ID: arendt.wolfgang Published as: Arendt, Wolfgang; Arendt, W. Homepage: https://www.uni-ulm.de/mawi/iaa/members/professors/arendt.html External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 156 Publications since 1978, including 6 Books and 7 Additional arXiv Preprints 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 41 Reviews Co-Authors: 99 Co-Authors with 139 Joint Publications 2,470 Co-Co-Authors all top 5 Co-Authors 24 single-authored 20 Batty, Charles J. K. 17 ter Elst, Antonius Frederik Maria 15 Chalendar, Isabelle 8 Bu, Shangquan 5 Daners, Daniel 5 Eymard, Robert 5 Neubrander, Frank 4 Dier, Dominik 4 Hieber, Matthias 4 Sauter, Manfred 3 Bénilan, Philippe 3 Célariès, Benjamin 3 Chill, Ralph 3 ElMennaoui, Omar 3 Kennedy, James Bernard 3 Metafune, Giorgio 3 Nagel, Rainer J. 3 Nittka, Robin 3 Pallara, Diego 3 Sourour, Ahmed Ramzi 3 Urban, Karsten 3 Warma, Mahamadi 2 Bernard, Eddy 2 Chovanec, Michal 2 De Canniere, Jean 2 Glück, Jochen 2 Goldstein, Jerome Arthur 2 Greiner, Günther 2 Kreuter, Marcel 2 Kumar, Mahesh 2 Kunkel, Stefan 2 Kunze, Markus Christian 2 Moletsane, Boitumelo 2 Monniaux, Sylvie 2 Ouhabaz, El Maati 2 Schlotterbeck, Ulf 2 Srivastava, Sachi 2 Tomilov, Yuri 2 Voigt, Jurgen 2 Wolff, Manfred 1 Amann, Herbert 1 Ball, Joseph Anthony 1 Behrndt, Jussi 1 Beil, Michael 1 Bernhard, Manuel 1 Biegert, Markus 1 Brézis, Haïm 1 Bukhvalov, Alexander V. 1 Chernoff, Paul R. 1 D’Antoni, Claudio 1 de Pagter, Bernardus 1 Demuth, Michael 1 Driouich, Adberrahim 1 Duelli, Markus Michael 1 Fackler, Stephan 1 Favini, Angelo 1 Fleischer, Frank 1 Fornaro, Simona 1 Förster, Karl-Heinz 1 Goldstein, Gisèle Ruiz 1 Grabosch, Annette 1 Groh, Ulrich 1 Haase, Markus 1 Hart, Deborah R. 1 Hauer, Daniel 1 Kato, Tosio 1 Kellermann, Hermann K. 1 Keyantuo, Valentin 1 Kramar Fijavž, Marjeta 1 Laasri, Hafida 1 Lalaoui Rhali, Soumia 1 Lindner, Jürgen 1 Lotz, Heinrich P. 1 Lück, Sebastian 1 Mazzeo, Rafe R. 1 Mbekhta, Mostafa 1 Mehrmann, Volker 1 Moustakas, Ulrich 1 Nicaise, Serge 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Peter, Wolfgang 1 Pierre, Michel 1 Portet, Stéphanie 1 Poupaud, César 1 Prüß, Jan Wilhelm 1 Rabier, Patrick J. 1 Räbiger, Frank 1 Regińska, Teresa 1 Rhandi, Abdelaziz 1 Robinson, Derek William 1 Romanelli, Silvia 1 Schaefer, Helmut Heinrich 1 Schatzle, Reiner 1 Schleich, Wolfgang P. 1 Schmidt, Volker 1 Schwarz, Hans-Ulrich 1 Schweiker, Sibylle 1 Steiner, Frank 1 Thomaschewski, Sonja 1 Trunk, Carsten ...and 3 more Co-Authors all top 5 Serials 7 Journal of Functional Analysis 6 Mathematische Zeitschrift 6 Journal of Operator Theory 5 Journal of Mathematical Analysis and Applications 5 Archiv der Mathematik 5 Journal of Differential Equations 5 Semigroup Forum 4 Potential Analysis 3 Studia Mathematica 3 Indiana University Mathematics Journal 3 Integral Equations and Operator Theory 3 Mathematische Annalen 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 Positivity 3 Journal of Evolution Equations 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Israel Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Illinois Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Transactions of the American Mathematical Society 2 Differential and Integral Equations 2 Taiwanese Journal of Mathematics 2 Journal of the Australian Mathematical Society 2 Communications on Pure and Applied Analysis 2 Monographs in Mathematics 2 Operator Theory: Advances and Applications 1 IMA Journal of Numerical Analysis 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Indagationes Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Rendiconti del Seminario Matematico 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Forum Mathematicum 1 Revista Matemática de la Universidad Complutense de Madrid 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Indagationes Mathematicae. New Series 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 RIMS Kokyuroku 1 Advanced Nonlinear Studies 1 Banach Center Publications 1 Graduate Texts in Mathematics 1 Lecture Notes in Mathematics 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Operators and Matrices 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Spectral Theory 1 Journal of Theoretical Biology 1 Concrete Operators 1 Pure and Applied Analysis all top 5 Fields 126 Operator theory (47-XX) 75 Partial differential equations (35-XX) 32 Functional analysis (46-XX) 17 Ordinary differential equations (34-XX) 10 Potential theory (31-XX) 9 General and overarching topics; collections (00-XX) 8 Functions of a complex variable (30-XX) 8 Integral transforms, operational calculus (44-XX) 8 Probability theory and stochastic processes (60-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Abstract harmonic analysis (43-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Numerical analysis (65-XX) 4 Integral equations (45-XX) 3 Sequences, series, summability (40-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 138 Publications have been cited 3,789 times in 2,642 Documents Cited by ▼ Year ▼ Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001 Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 608 2001 One-parameter semigroups of positive operators. Zbl 0585.47030 566 1986 Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002 Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 441 2011 Tauberian theorems and stability of one-parameter semigroups. Zbl 0652.47022 Arendt, W.; Batty, C. J. K. 255 1988 Vector-valued Laplace transforms and Cauchy problems. Zbl 0637.44001 Arendt, Wolfgang 208 1987 Resolvent positive operators. Zbl 0617.47029 Arendt, Wolfgang 133 1987 The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008 Arendt, Wolfgang; Bu, Shangquan 118 2002 Semigroups and evolution equations: functional calculus, regularity and kernel estimates. Zbl 1082.35001 Arendt, Wolfgang 114 2004 Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009 Arendt, Wolfgang; Bu, Shangquan 88 2004 Sectorial forms and degenerate differential operators. Zbl 1243.47009 Arendt, W.; ter Elst, A. F. M. 68 2012 Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041 Arendt, W.; ter Elst, A. F. M. 62 1997 The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004 Arendt, Wolfgang; Warma, Mahamadi 59 2003 \(L^{p}\)-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037 Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César 57 2007 Integrated solutions of Volterra integrodifferential equations and applications. Zbl 0675.45017 Arendt, W.; Kellermann, H. 50 1989 The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036 Arendt, W.; ter Elst, A. F. M. 47 2011 Spectral properties of Lamperti operators. Zbl 0488.47016 Arendt, Wolfgang 47 1983 The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062 Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M. 43 2014 Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046 Arendt, Wolfgang; Batty, Charles J. K. 42 1997 On the 0-spektrum of regular operators and the spectrum of measures. Zbl 0468.47022 Arendt, Wolfgang 42 1981 Gaussian estimates and interpolation of the spectrum in \(L^ p\). Zbl 0827.35081 Arendt, Wolfgang 41 1994 Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139 Arendt, Wolfgang; Mazzeo, Rafe 41 2012 Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005 Arendt, Wolfgang; Batty, Charles; Bu, Shangquan 40 2004 Weyl’s law: spectral properties of the Laplacian in mathematics and physics. Zbl 1185.35154 Arendt, Wolfgang; Nittka, Robin; Peter, Wolfgang; Steiner, Frank 40 2009 The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045 Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S. 39 2003 Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. Zbl 0765.45009 Arendt, Wolfgang; Prüss, Jan 32 1992 Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034 Arendt, W.; El-Mennaoui, O.; Keyantuo, V. 30 1994 Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. Zbl 0952.34048 Arendt, Wolfgang; Batty, Charles J. K. 30 1999 Integral representations of resolvents and semigroups. Zbl 0803.47046 Arendt, Wolfgang; Bukhvalov, Alexander V. 29 1994 Vector-valued holomorphic functions revisited. Zbl 0976.46030 Arendt, W.; Nikolski, N. 29 2000 Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005 Arendt, Wolfgang; Warma, Mahamadi 29 2003 Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106 Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati 29 2014 Perturbation of positive semigroups. Zbl 0687.47031 Arendt, Wolfgang; Rhandi, Abdelaziz 25 1991 Absorption semigroups and Dirichlet boundary conditions. Zbl 0788.47031 Arendt, W.; Batty, C. J. K. 24 1993 Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108 Arendt, W.; Duelli, M. 24 2006 Spectral properties of the operator equation \(AX+XB=Y\). Zbl 0826.47013 Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed 23 1994 From forms to semigroups. Zbl 1272.47003 Arendt, Wolfgang; ter Elst, A. F. M. 23 2012 Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026 Arendt, Wolfgang; Kreuter, Marcel 23 2018 Interpolation of semigroups and integrated semigroups. Zbl 0782.47035 Arendt, Wolfgang; Neubrander, Frank; Schlotterbeck, Ulf 22 1992 Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041 Arendt, Wolfgang; Bénilan, Philippe 22 1999 Outgrowths of Hardy’s inequality. Zbl 1113.26017 Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A. 22 2006 A generalization of dissipativity and positive semigroups. Zbl 0494.47026 Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 21 1982 Tools for maximal regularity. Zbl 1041.47018 Arendt, Wolfgang; Bu, Shangquan 18 2003 Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. Zbl 06971428 Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi 18 2018 Approximation of degenerate semigroups. Zbl 1025.47023 Arendt, Wolfgang 17 2001 Exponential stability of a diffusion equation with absorption. Zbl 0817.35007 Arendt, Wolfgang; Batty, Charles J. K. 16 1993 Diffusion with nonlocal boundary conditions. Zbl 1337.47062 Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 16 2016 Sobolev imbeddings and integrated semigroups. Zbl 0762.47013 Arendt, W. 15 1991 Integrated solutions to implicit differential equations. Zbl 0814.34049 Arendt, W.; Favini, A. 15 1993 Perturbation of regular operators and the order essential spectrum. Zbl 0616.47030 Arendt, W.; Sourour, A. R. 15 1986 Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055 Arendt, Wolfgang; Daners, Daniel 15 2007 Domination and ergodicity for positive semigroups. Zbl 0788.47032 Arendt, W.; Batty, C. J. K. 14 1992 On lattice isomorphisms with positive real spectrum and groups of positive operators. Zbl 0377.47026 Schaefer, Helmut H.; Wolff, Manfred; Arendt, Wolfgang 14 1978 J. L. Lions’ problem on maximal regularity. Zbl 1377.35045 Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan 14 2017 Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011 Arendt, Wolfgang; Daners, Daniel 14 2008 The spectrum of quasi-invertible disjointness preserving operators. Zbl 0611.47030 Arendt, W.; Hart, D. R. 13 1986 Maximal regularity for non-autonomous Robin boundary conditions. Zbl 06639277 Arendt, Wolfgang; Monniaux, Sylvie 13 2016 Positive semigroups of kernel operators. Zbl 1151.47047 Arendt, Wolfgang 13 2008 Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. Zbl 1439.30083 Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S. 12 2020 Schrödinger operators with unbounded drift. Zbl 1107.35052 Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 12 2006 Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001 12 2009 Kato’s inequality: A characterization of generators of positive semigroups. Zbl 0617.47028 Arendt, Wolfgang 11 1984 Does diffusion determine the body? Zbl 1099.35164 Arendt, W. 11 2002 Boundary values of holomorphic semigroups. Zbl 0869.47025 Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias 11 1997 Order isomorphisms of Fourier algebras. Zbl 0506.43001 Arendt, Wolfgang; De Canniere, Jean 11 1983 Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202 Arendt, Wolfgang; Chill, Ralph 11 2010 Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768 Arendt, W.; ter Elst, A. F. M. 11 2017 The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022 Arendt, W.; ter Elst, A. F. M. 10 2015 Positive semigroups generated by elliptic operators on Lie groups. Zbl 0748.47034 Arendt, Wolfgang; Batty, Charles J. K.; Robinson, Derek W. 9 1990 Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192 Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta 9 2014 Equivalent complete norms and positivity. Zbl 1182.46006 Arendt, Wolfgang; Nittka, Robin 9 2009 Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038 Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 9 2008 The Dirichlet problem by variational methods. Zbl 1167.35011 Arendt, Wolfgang; Daners, Daniel 9 2008 Discrete spectrum and almost periodicity. Zbl 0947.34068 Arendt, Wolfgang; Schweiker, Sibylle 8 1999 Factorization by lattice homomorphisms. Zbl 0558.47029 Arendt, Wolfgang 8 1984 Diffusion determines the manifold. Zbl 1260.58016 Arendt, W.; Biegert, M.; ter Elst, A. F. M. 8 2012 Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015 Arendt, Wolfgang; Bu, Shangquan 8 2010 An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376 Arendt, W.; Regińska, T. 8 2009 Ideals of regular operators on \(l^ 2\). Zbl 0524.47027 Arendt, W.; Sourour, A. R. 7 1983 Kato’s equality and spectral decompositon for positive \(C_ 0\)-groups. Zbl 0543.47032 Arendt, Wolfgang 7 1982 Generators of semigroups on Banach spaces inducing holomorphic semiflows. Zbl 07015399 Arendt, Wolfgang; Chalendar, Isabelle 7 2019 Invariance of convex sets for non-autonomous evolution equations governed by forms. Zbl 1295.35285 Arendt, Wolfgang; Ouhabaz, El Maati 7 2014 Vector-valued holomorphic and harmonic functions. Zbl 1350.46031 Arendt, Wolfgang 7 2016 In Koenigs’ footsteps: diagonalization of composition operators. Zbl 1436.30049 Arendt, W.; Célariès, B.; Chalendar, I. 7 2020 Local operators and forms. Zbl 1099.47035 Arendt, Wolfgang; Thomaschewski, Sonja 7 2005 Asymptotic stability of Schrödinger semigroups on \(L^ 1(\mathbb{R}^ N)\). Zbl 0761.47019 Arendt, Wolfgang; Batty, Charles J. K.; Bénilan, Philippe 6 1992 Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020 Arendt, Wolfgang; Bu, Shangquan; Haase, Markus 6 2001 The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037 Arendt, Wolfgang; Batty, Charles J. K. 6 1997 Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Zbl 0842.35087 Arendt, W.; Monniaux, S. 6 1995 Spectrum and asymptotics of the Black-Scholes partial differential equation in \((L^ 1,L^ \infty)\)-interpolation spaces. Zbl 1052.35029 Arendt, Wolfgang; de Pagter, Ben 6 2002 Resolvent positive operators and inhomogeneous boundary conditions. Zbl 1072.35077 Arendt, Wolfgang 6 2000 Semigroups generated by elliptic operators in non-divergence form on \(C_o(\Omega)\). Zbl 1327.35134 Arendt, Wolfgang; Schätzle, Reiner 6 2014 A complex Tauberian theorem and mean ergodic semigroups. Zbl 0836.47032 Arendt, Wolfgang; Batty, Charles J. K. 5 1995 Spectrum and growth of positive semigroups. Zbl 0834.47031 Arendt, Wolfgang 5 1994 Principal eigenvalues and perturbation. Zbl 0834.47032 Arendt, Wolfgang; Batty, Charles J. K. 5 1994 Ideale regulärer Operatoren und Kompaktheit positiver Operatoren zwischen Banachverbänden. (Ideals of regular operators and compactness of positive operators on Banach lattices). Zbl 0641.47044 Arendt, Wolfgang; Schwarz, Hans-Ulrich 5 1987 The spectral mapping theorem for one-parameter groups of positive operators on \(C_ 0(X)\). Zbl 0536.47032 Arendt, W.; Greiner, G. 5 1984 Generators of positive semigroups and resolvent positive operators. Zbl 0566.47027 Arendt, Wolfgang 5 1984 Sums of bisectorial operators and applications. Zbl 1088.47002 Arendt, Wolfgang; Bu, Shangquan 5 2005 Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034 Arendt, Wolfgang; Demuth, Michael 5 2006 Diffusion with nonlocal Robin boundary conditions. Zbl 1469.35101 Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 5 2018 Partial differential equations. An introduction to analytical and numerical methods. Translated from the German by James B. Kennedy. Zbl 1507.35001 Arendt, Wolfgang; Urban, Karsten 2 2023 Lions’ representation theorem and applications. Zbl 1510.35166 Arendt, W.; Chalendar, I.; Eymard, R. 1 2023 Galerkin approximation of linear problems in Banach and Hilbert spaces. Zbl 1515.65125 Arendt, W.; Chalendar, I.; Eymard, R. 3 2022 Denjoy-Wolff theory and spectral properties of weighted composition operators on \(\text{Hol}(\mathbb{D})\). Zbl 07632818 Arendt, Wolfgang; Bernard, Eddy; Célariès, Benjamin; Chalendar, Isabelle 2 2022 Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. Zbl 1439.30083 Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S. 12 2020 In Koenigs’ footsteps: diagonalization of composition operators. Zbl 1436.30049 Arendt, W.; Célariès, B.; Chalendar, I. 7 2020 Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions. Zbl 1445.35094 Arendt, Wolfgang; ter Elst, A. F. M.; Glück, Jochen 5 2020 The Dirichlet-to-Neumann operator on \(C(\partial\Omega)\). Zbl 07372898 Arendt, Wolfgang; ter Elst, A. F. M. 4 2020 Maximal \(L^2\)-regularity in nonlinear gradient systems and perturbations of sublinear growth. Zbl 1430.35149 Arendt, Wolfgang; Hauer, Daniel 3 2020 Generators of semigroups on Banach spaces inducing holomorphic semiflows. Zbl 07015399 Arendt, Wolfgang; Chalendar, Isabelle 7 2019 The Dirichlet problem without the maximum principle. (Le problème de Dirichlet sans le principe maximum.) Zbl 1427.35013 Arendt, Wolfgang; ter Elst, A. F. M. 5 2019 Operators with continuous kernels. Zbl 07123546 Arendt, W.; ter Elst, A. F. M. 1 2019 Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026 Arendt, Wolfgang; Kreuter, Marcel 23 2018 Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. Zbl 06971428 Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi 18 2018 Diffusion with nonlocal Robin boundary conditions. Zbl 1469.35101 Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 5 2018 Reaction-diffusion systems governed by non-autonomous forms. Zbl 1391.35215 Arendt, Wolfgang; Dier, Dominik 1 2018 Partial differential equations. An introduction to analytic and numerical methods. 2nd edition. (Partielle Differenzialgleichungen. Eine Einführung in analytische und numerische Methoden.) Zbl 1410.00005 Arendt, Wolfgang; Urban, Karsten 1 2018 J. L. Lions’ problem on maximal regularity. Zbl 1377.35045 Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan 14 2017 Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768 Arendt, W.; ter Elst, A. F. M. 11 2017 Diffusion determines the compact manifold. Zbl 1382.58026 Arendt, W.; Ter Elst, A. F. M. 2 2017 Diffusion with nonlocal boundary conditions. Zbl 1337.47062 Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 16 2016 Maximal regularity for non-autonomous Robin boundary conditions. Zbl 06639277 Arendt, Wolfgang; Monniaux, Sylvie 13 2016 Vector-valued holomorphic and harmonic functions. Zbl 1350.46031 Arendt, Wolfgang 7 2016 The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022 Arendt, W.; ter Elst, A. F. M. 10 2015 Countable spectrum, transfinite induction and stability. Zbl 1338.47044 Arendt, Wolfgang 1 2015 Operator semigroups meet complex analysis, harmonic analysis and mathematical physics. Proceedings of the conference, Herrnhut, Germany, June 3–7, 2013. Zbl 1336.47001 1 2015 The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062 Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M. 43 2014 Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106 Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati 29 2014 Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192 Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta 9 2014 Invariance of convex sets for non-autonomous evolution equations governed by forms. Zbl 1295.35285 Arendt, Wolfgang; Ouhabaz, El Maati 7 2014 Semigroups generated by elliptic operators in non-divergence form on \(C_o(\Omega)\). Zbl 1327.35134 Arendt, Wolfgang; Schätzle, Reiner 6 2014 Analytical aspects of isospectral drums. Zbl 1327.58032 Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B. 4 2014 Sectorial forms and degenerate differential operators. Zbl 1243.47009 Arendt, W.; ter Elst, A. F. M. 68 2012 Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139 Arendt, Wolfgang; Mazzeo, Rafe 41 2012 From forms to semigroups. Zbl 1272.47003 Arendt, Wolfgang; ter Elst, A. F. M. 23 2012 Diffusion determines the manifold. Zbl 1260.58016 Arendt, W.; Biegert, M.; ter Elst, A. F. M. 8 2012 Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002 Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 441 2011 The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036 Arendt, W.; ter Elst, A. F. M. 47 2011 Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202 Arendt, Wolfgang; Chill, Ralph 11 2010 Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015 Arendt, Wolfgang; Bu, Shangquan 8 2010 Dirichlet regularity and degenerate diffusion. Zbl 1205.35139 Arendt, Wolfgang; Chovanec, Michal 5 2010 Partial differential equations. An introduction to analytic and numerical methods. (Partielle Differenzialgleichungen. Eine Einführung in analytische und numerische Methoden.) Zbl 1198.00001 Arendt, Wolfgang; Urban, Karsten 4 2010 Decomposing and twisting bisectorial operators. Zbl 1194.47046 Arendt, Wolfgang; Zamboni, Alessandro 3 2010 Weyl’s law: spectral properties of the Laplacian in mathematics and physics. Zbl 1185.35154 Arendt, Wolfgang; Nittka, Robin; Peter, Wolfgang; Steiner, Frank 40 2009 Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001 12 2009 Equivalent complete norms and positivity. Zbl 1182.46006 Arendt, Wolfgang; Nittka, Robin 9 2009 An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376 Arendt, W.; Regińska, T. 8 2009 Simulating the formation of keratin filament networks by a piecewise-deterministic Markov process. Zbl 1400.92160 Beil, Michael; Lück, Sebastian; Fleischer, Frank; Portet, Stéphanie; Arendt, Wolfgang; Schmidt, Volker 5 2009 Linear evolution operators on spaces of periodic functions. Zbl 1169.47034 Arendt, Wolfgang; Rabier, Patrick J. 1 2009 Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011 Arendt, Wolfgang; Daners, Daniel 14 2008 Positive semigroups of kernel operators. Zbl 1151.47047 Arendt, Wolfgang 13 2008 Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038 Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 9 2008 The Dirichlet problem by variational methods. Zbl 1167.35011 Arendt, Wolfgang; Daners, Daniel 9 2008 Functional analysis and evolution equations. The Günter Lumer volume. Zbl 1131.46001 2 2008 \(L^{p}\)-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037 Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César 57 2007 Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055 Arendt, Wolfgang; Daners, Daniel 15 2007 Forms, functional calculus, cosine functions and perturbation. Zbl 1128.47021 Arendt, Wolfgang; Batty, Charles J. K. 2 2007 Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108 Arendt, W.; Duelli, M. 24 2006 Outgrowths of Hardy’s inequality. Zbl 1113.26017 Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A. 22 2006 Schrödinger operators with unbounded drift. Zbl 1107.35052 Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 12 2006 Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034 Arendt, Wolfgang; Demuth, Michael 5 2006 Rank-1 perturbations of cosine functions and semigroups. Zbl 1104.47046 Arendt, Wolfgang; Batty, Charles J. K. 3 2006 Local operators and forms. Zbl 1099.47035 Arendt, Wolfgang; Thomaschewski, Sonja 7 2005 Sums of bisectorial operators and applications. Zbl 1088.47002 Arendt, Wolfgang; Bu, Shangquan 5 2005 Semigroups and evolution equations: functional calculus, regularity and kernel estimates. Zbl 1082.35001 Arendt, Wolfgang 114 2004 Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009 Arendt, Wolfgang; Bu, Shangquan 88 2004 Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005 Arendt, Wolfgang; Batty, Charles; Bu, Shangquan 40 2004 Operator-valued multiplier theorems characterizing Hilbert spaces. Zbl 1078.42003 Arendt, Wolfgang; Bu, Shangquan 3 2004 Nonlinear evolution equations and related topics. Dedicated to Philippe Bénilan. Reprinted from Journal of Evolution Equations 3, No. 1-4 (2003) and 4, No. 2. (2004). Zbl 1048.35003 1 2004 The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004 Arendt, Wolfgang; Warma, Mahamadi 59 2003 The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045 Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S. 39 2003 Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005 Arendt, Wolfgang; Warma, Mahamadi 29 2003 Tools for maximal regularity. Zbl 1041.47018 Arendt, Wolfgang; Bu, Shangquan 18 2003 The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008 Arendt, Wolfgang; Bu, Shangquan 118 2002 Does diffusion determine the body? Zbl 1099.35164 Arendt, W. 11 2002 Spectrum and asymptotics of the Black-Scholes partial differential equation in \((L^ 1,L^ \infty)\)-interpolation spaces. Zbl 1052.35029 Arendt, Wolfgang; de Pagter, Ben 6 2002 Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001 Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 608 2001 Approximation of degenerate semigroups. Zbl 1025.47023 Arendt, Wolfgang 17 2001 Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020 Arendt, Wolfgang; Bu, Shangquan; Haase, Markus 6 2001 Different domains induce different heat semigroups on \(C_0(\Omega)\). Zbl 0980.35168 Arendt, W. 4 2001 Introduction to the special issue [Tosio Kato (1917-1999) (with list of publications)]. Zbl 1036.01504 Arendt, Wolfgang; Goldstein, Jerome A.; Nagel, Rainer 1 2001 Vector-valued holomorphic functions revisited. Zbl 0976.46030 Arendt, W.; Nikolski, N. 29 2000 Resolvent positive operators and inhomogeneous boundary conditions. Zbl 1072.35077 Arendt, Wolfgang 6 2000 Slowly oscillating solutions of Cauchy problems with countable spectrum. Zbl 1006.34049 Arendt, W.; Batty, C. J. K. 2 2000 Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. Zbl 0952.34048 Arendt, Wolfgang; Batty, Charles J. K. 30 1999 Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041 Arendt, Wolfgang; Bénilan, Philippe 22 1999 Discrete spectrum and almost periodicity. Zbl 0947.34068 Arendt, Wolfgang; Schweiker, Sibylle 8 1999 On the infinite product of \(C_0\)-semigroups. Zbl 0928.47026 Arendt, W.; Driouich, A.; El-Mennaoui, O. 2 1998 Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041 Arendt, W.; ter Elst, A. F. M. 62 1997 Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046 Arendt, Wolfgang; Batty, Charles J. K. 42 1997 Boundary values of holomorphic semigroups. Zbl 0869.47025 Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias 11 1997 The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037 Arendt, Wolfgang; Batty, Charles J. K. 6 1997 Semigroup properties by Gaussian estimates. Zbl 1074.47508 Arendt, W. 4 1997 The spectral bound of Schrödinger operators. Zbl 0874.35079 Arendt, Wolfgang; Batty, Charles J. K. 2 1996 Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Zbl 0842.35087 Arendt, W.; Monniaux, S. 6 1995 A complex Tauberian theorem and mean ergodic semigroups. Zbl 0836.47032 Arendt, Wolfgang; Batty, Charles J. K. 5 1995 Gaussian estimates and interpolation of the spectrum in \(L^ p\). Zbl 0827.35081 Arendt, Wolfgang 41 1994 Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034 Arendt, W.; El-Mennaoui, O.; Keyantuo, V. 30 1994 Integral representations of resolvents and semigroups. Zbl 0803.47046 Arendt, Wolfgang; Bukhvalov, Alexander V. 29 1994 Spectral properties of the operator equation \(AX+XB=Y\). Zbl 0826.47013 Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed 23 1994 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,376 Authors 65 Lizama, Carlos 60 Arendt, Wolfgang 57 Kostić, Marko 45 Bu, Shangquan 33 ter Elst, Antonius Frederik Maria 31 Mugnolo, Delio 31 Nicaise, Serge 30 Batty, Charles J. K. 30 Hieber, Matthias 29 Glück, Jochen 27 Cai, Gang 27 Miana, Pedro J. 27 Warma, Mahamadi 26 Nguyen Van Minh 25 Ezzinbi, Khalil 24 Wehbe, Ali 23 Ouhabaz, El Maati 22 Keyantuo, Valentin 21 Bobrowski, Adam 21 Chill, Ralph 21 Daners, Daniel 20 Ponce, Rodrigo F. 19 Akil, Mohammad 19 Cuevas, Claudio 19 Tomilov, Yuri 18 Banasiak, Jacek 18 Gesztesy, Fritz 18 Henríquez, Hernán R. 18 Magal, Pierre 18 Pilipović, Stevan 17 Li, Miao 17 Vijayakumar, Velusamy 16 Benchohra, Mouffak 16 Kovács, Mihály 16 Meerschaert, Mark Marvin 16 Metafune, Giorgio 16 Voigt, Jurgen 15 Seifert, David 15 Veraar, Mark C. 14 Benaissa, Abbes 14 Chalendar, Isabelle 14 ElMennaoui, Omar 14 Goldstein, Jerome Arthur 14 O’Regan, Donal 14 Rehberg, Joachim 14 Sooppy Nisar, Kottakkaran 13 Fëdorov, Vladimir Evgen’evich 13 Kunze, Markus Christian 13 Paunonen, Lassi 13 Poblete, Verónica 13 Shakhmurov, Veli B. 13 Tcheugoué Tébou, Louis Roder 13 van Neerven, Jan M. A. M. 12 Abadias, Luciano 12 Agarwal, Ravi P. 12 Baskakov, Anatoliĭ Grigor’evich 12 Bäumer, Boris 12 Dell’Oro, Filippo 12 Udhayakumar, Ramalingam 11 Fackler, Stephan 11 Gupur, Geni 11 Mokhtar-Kharroubi, Mustapha 11 Rhandi, Abdelaziz 11 Vogt, Hendrik 11 Wickstead, Anthony W. 10 Biegert, Markus 10 deLaubenfels, Ralph J. 10 Li, Buyang 10 Murillo-Arcila, Marina 10 Nittka, Robin 10 Pata, Vittorino 10 Räbiger, Frank 10 Schnaubelt, Roland 10 Shaw, Sen-Yen 10 Velinov, Daniel 10 Xiao, Ti-Jun 10 Zheng, Quan 9 Adimy, Mostafa 9 Badawi, Haidar 9 Basit, Bolis 9 Behrndt, Jussi 9 Ducrot, Arnaud 9 Engel, Klaus-Jochen 9 Galé, José E. 9 Gerlach, Moritz 9 Gomilko, Alexandre M. 9 Hauer, Daniel 9 Kennedy, James Bernard 9 Liang, Jin 9 Mouton, Sonja 9 Nagel, Rainer J. 9 N’Guérékata, Gaston Mandata 9 Nguyen Thieu Huy 9 Rozendaal, Jan 9 Sobajima, Motohiro 9 Srivastava, Sachi 9 Zhou, Zhi 8 Avalos, George 8 de Andrade, Bruno 8 Egert, Moritz ...and 2,276 more Authors all top 5 Cited in 400 Serials 178 Journal of Mathematical Analysis and Applications 123 Journal of Differential Equations 121 Journal of Evolution Equations 98 Semigroup Forum 85 Journal of Functional Analysis 62 Mathematische Nachrichten 61 Proceedings of the American Mathematical Society 45 Mathematical Methods in the Applied Sciences 41 Positivity 39 Archiv der Mathematik 39 Integral Equations and Operator Theory 37 Nonlinear Analysis. 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Neuvième Série 8 Journal of Dynamics and Differential Equations 8 Journal of the Australian Mathematical Society 7 Bulletin of the Australian Mathematical Society 7 Chaos, Solitons and Fractals 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 The Journal of Geometric Analysis 7 Communications in Partial Differential Equations 7 Linear Algebra and its Applications 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 NoDEA. Nonlinear Differential Equations and Applications 7 Differential Equations 7 Nonlinear Analysis. Real World Applications 7 S\(\vec{\text{e}}\)MA Journal 7 Journal of Applied Analysis and Computation 7 Nonlinear Analysis. Theory, Methods & Applications 7 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 6 Nonlinearity 6 Bulletin of the London Mathematical Society 6 Journal of Approximation Theory 6 Journal of Optimization Theory and Applications 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Numerical Methods for Partial Differential Equations 6 Asymptotic Analysis 6 Journal of Scientific Computing 6 Topological Methods in Nonlinear Analysis 6 Filomat 6 Integral Transforms and Special Functions 6 Novi Sad Journal of Mathematics ...and 300 more Serials all top 5 Cited in 57 Fields 1,401 Operator theory (47-XX) 1,193 Partial differential equations (35-XX) 548 Ordinary differential equations (34-XX) 371 Functional analysis (46-XX) 226 Systems theory; control (93-XX) 185 Probability theory and stochastic processes (60-XX) 150 Integral equations (45-XX) 147 Real functions (26-XX) 117 Numerical analysis (65-XX) 112 Harmonic analysis on Euclidean spaces (42-XX) 110 Mechanics of deformable solids (74-XX) 84 Abstract harmonic analysis (43-XX) 83 Fluid mechanics (76-XX) 78 Biology and other natural sciences (92-XX) 75 Dynamical systems and ergodic theory (37-XX) 59 Global analysis, analysis on manifolds (58-XX) 57 Integral transforms, operational calculus (44-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 47 Difference and functional equations (39-XX) 42 Statistical mechanics, structure of matter (82-XX) 41 Quantum theory (81-XX) 38 Functions of a complex variable (30-XX) 34 Potential theory (31-XX) 23 Operations research, mathematical programming (90-XX) 20 Special functions (33-XX) 18 Measure and integration (28-XX) 17 Several complex variables and analytic spaces (32-XX) 17 Sequences, series, summability (40-XX) 14 Topological groups, Lie groups (22-XX) 13 Approximations and expansions (41-XX) 12 Number theory (11-XX) 11 Combinatorics (05-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Computer science (68-XX) 9 Statistics (62-XX) 9 Optics, electromagnetic theory (78-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Geophysics (86-XX) 7 Information and communication theory, circuits (94-XX) 6 Group theory and generalizations (20-XX) 6 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Nonassociative rings and algebras (17-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 General topology (54-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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