Edit Profile (opens in new tab) Arendt, Wolfgang Compute Distance To: Compute 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: 146 Publications since 1978, including 6 Books 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 41 Reviews Co-Authors: 99 Co-Authors with 129 Joint Publications 2,289 Co-Co-Authors all top 5 Co-Authors 24 single-authored 20 Batty, Charles J. K. 14 ter Elst, Antonius Frederik Maria 11 Chalendar, Isabelle 8 Bu, Shangquan 5 Neubrander, Frank 4 Daners, Daniel 4 Dier, Dominik 4 Hieber, Matthias 3 Bénilan, Philippe 3 Chill, Ralph 3 ElMennaoui, Omar 3 Eymard, Robert 3 Kennedy, James Bernard 3 Metafune, Giorgio 3 Nagel, Rainer J. 3 Nittka, Robin 3 Pallara, Diego 3 Sourour, Ahmed Ramzi 3 Urban, Karsten 2 Célariès, Benjamin 2 Chovanec, Michal 2 De Canniere, Jean 2 Goldstein, Jerome Arthur 2 Greiner, Günther 2 Kreuter, Marcel 2 Kumar, Mahesh 2 Kunkel, Stefan 2 Kunze, Markus Christian 2 Monniaux, Sylvie 2 Ouhabaz, El Maati 2 Schlotterbeck, Ulf 2 Srivastava, Sachi 2 Tomilov, Yuri 2 Voigt, Jurgen 2 Warma, Mahamadi 2 Wolff, Manfred 1 Amann, Herbert 1 Ball, Joseph Anthony 1 Behrndt, Jussi 1 Beil, Michael 1 Bernard, Eddy 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 Glück, Jochen 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 Moletsane, Boitumelo 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 W. 1 Romanelli, Silvia 1 Ruiz Goldstein, Giséle 1 Sauter, Manfred 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 Journal of Differential Equations 5 Semigroup Forum 4 Archiv der Mathematik 4 Potential Analysis 3 Studia Mathematica 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 Indiana University Mathematics Journal 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 Journal of Spectral Theory 1 Journal of Theoretical Biology 1 Concrete Operators 1 Pure and Applied Analysis all top 5 Fields 119 Operator theory (47-XX) 70 Partial differential equations (35-XX) 29 Functional analysis (46-XX) 16 Ordinary differential equations (34-XX) 9 General and overarching topics; collections (00-XX) 8 Potential theory (31-XX) 8 Integral transforms, operational calculus (44-XX) 8 Probability theory and stochastic processes (60-XX) 7 Functions of a complex variable (30-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 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-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 132 Publications have been cited 3,170 times in 2,191 Documents Cited by ▼ Year ▼ Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 517 2001 Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 332 2011 One-parameter semigroups of positive operators. Zbl 0585.47030 329 1986 Vector-valued Laplace transforms and Cauchy problems. Zbl 0637.44001Arendt, Wolfgang 202 1987 Tauberian theorems and stability of one-parameter semigroups. Zbl 0652.47022Arendt, W.; Batty, C. J. K. 201 1988 Resolvent positive operators. Zbl 0617.47029Arendt, Wolfgang 119 1987 The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008Arendt, Wolfgang; Bu, Shangquan 92 2002 Semigroups and evolution equations: functional calculus, regularity and kernel estimates. Zbl 1082.35001Arendt, Wolfgang 86 2004 Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009Arendt, Wolfgang; Bu, Shangquan 69 2004 Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041Arendt, W.; ter Elst, A. F. M. 54 1997 Sectorial forms and degenerate differential operators. Zbl 1243.47009Arendt, W.; ter Elst, A. F. M. 52 2012 The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004Arendt, Wolfgang; Warma, Mahamadi 50 2003 \(L^{p}\)-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César 45 2007 Spectral properties of Lamperti operators. Zbl 0488.47016Arendt, Wolfgang 44 1983 Integrated solutions of Volterra integrodifferential equations and applications. Zbl 0675.45017Arendt, W.; Kellermann, H. 40 1989 Gaussian estimates and interpolation of the spectrum in \(L^ p\). Zbl 0827.35081Arendt, Wolfgang 40 1994 The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036Arendt, W.; ter Elst, A. F. M. 39 2011 On the 0-spektrum of regular operators and the spectrum of measures. Zbl 0468.47022Arendt, Wolfgang 38 1981 The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M. 38 2014 Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046Arendt, Wolfgang; Batty, Charles J. K. 37 1997 Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139Arendt, Wolfgang; Mazzeo, Rafe 37 2012 Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005Arendt, Wolfgang; Batty, Charles; Bu, Shangquan 33 2004 The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S. 32 2003 Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. Zbl 0765.45009Arendt, Wolfgang; Prüss, Jan 30 1992 Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. Zbl 0952.34048Arendt, Wolfgang; Batty, Charles J. K. 29 1999 Weyl’s law: spectral properties of the Laplacian in mathematics and physics. Zbl 1185.35154Arendt, Wolfgang; Nittka, Robin; Peter, Wolfgang; Steiner, Frank 29 2009 Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034Arendt, W.; El-Mennaoui, O.; Keyantuo, V. 28 1994 Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati 26 2014 Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005Arendt, Wolfgang; Warma, Mahamadi 25 2003 Vector-valued holomorphic functions revisited. Zbl 0976.46030Arendt, W.; Nikolski, N. 25 2000 Absorption semigroups and Dirichlet boundary conditions. Zbl 0788.47031Arendt, W.; Batty, C. J. K. 24 1993 Interpolation of semigroups and integrated semigroups. Zbl 0782.47035Arendt, Wolfgang; Neubrander, Frank; Schlotterbeck, Ulf 22 1992 Spectral properties of the operator equation \(AX+XB=Y\). Zbl 0826.47013Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed 22 1994 Perturbation of positive semigroups. Zbl 0687.47031Arendt, Wolfgang; Rhandi, Abdelaziz 21 1991 A generalization of dissipativity and positive semigroups. Zbl 0494.47026Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 20 1982 From forms to semigroups. Zbl 1272.47003Arendt, Wolfgang; ter Elst, A. F. M. 20 2012 Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041Arendt, Wolfgang; Bénilan, Philippe 20 1999 Integral representations of resolvents and semigroups. Zbl 0803.47046Arendt, Wolfgang; Bukhvalov, Alexander V. 18 1994 Outgrowths of Hardy’s inequality. Zbl 1113.26017Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A. 17 2006 Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026Arendt, Wolfgang; Kreuter, Marcel 17 2018 Tools for maximal regularity. Zbl 1041.47018Arendt, Wolfgang; Bu, Shangquan 17 2003 Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108Arendt, W.; Duelli, M. 17 2006 Sobolev imbeddings and integrated semigroups. Zbl 0762.47013Arendt, W. 15 1991 Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. Zbl 06971428Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi 15 2018 Integrated solutions to implicit differential equations. Zbl 0814.34049Arendt, W.; Favini, A. 15 1993 On lattice isomorphisms with positive real spectrum and groups of positive operators. Zbl 0377.47026Schaefer, Helmut H.; Wolff, Manfred; Arendt, Wolfgang 14 1978 Domination and ergodicity for positive semigroups. Zbl 0788.47032Arendt, W.; Batty, C. J. K. 14 1992 Exponential stability of a diffusion equation with absorption. Zbl 0817.35007Arendt, Wolfgang; Batty, Charles J. K. 14 1993 Perturbation of regular operators and the order essential spectrum. Zbl 0616.47030Arendt, W.; Sourour, A. R. 14 1986 Approximation of degenerate semigroups. Zbl 1025.47023Arendt, Wolfgang 14 2001 The spectrum of quasi-invertible disjointness preserving operators. Zbl 0611.47030Arendt, W.; Hart, D. R. 13 1986 Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055Arendt, Wolfgang; Daners, Daniel 13 2007 Maximal regularity for non-autonomous Robin boundary conditions. Zbl 06639277Arendt, Wolfgang; Monniaux, Sylvie 12 2016 Positive semigroups of kernel operators. Zbl 1151.47047Arendt, Wolfgang 12 2008 Schrödinger operators with unbounded drift. Zbl 1107.35052Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 12 2006 Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011Arendt, Wolfgang; Daners, Daniel 12 2008 Order isomorphisms of Fourier algebras. Zbl 0506.43001Arendt, Wolfgang; De Canniere, Jean 11 1983 Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202Arendt, Wolfgang; Chill, Ralph 11 2010 J. L. Lions’ problem on maximal regularity. Zbl 1377.35045Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan 10 2017 Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001 10 2009 Diffusion with nonlocal boundary conditions. Zbl 1337.47062Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 10 2016 Kato’s inequality: A characterization of generators of positive semigroups. Zbl 0617.47028Arendt, Wolfgang 10 1984 Boundary values of holomorphic semigroups. Zbl 0869.47025Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias 9 1997 The Dirichlet problem by variational methods. Zbl 1167.35011Arendt, Wolfgang; Daners, Daniel 9 2008 Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. Zbl 1439.30083Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S. 9 2020 Equivalent complete norms and positivity. Zbl 1182.46006Arendt, Wolfgang; Nittka, Robin 9 2009 Does diffusion determine the body? Zbl 1099.35164Arendt, W. 8 2002 Positive semigroups generated by elliptic operators on Lie groups. Zbl 0748.47034Arendt, Wolfgang; Batty, Charles J. K.; Robinson, Derek W. 8 1990 Discrete spectrum and almost periodicity. Zbl 0947.34068Arendt, Wolfgang; Schweiker, Sibylle 7 1999 Kato’s equality and spectral decompositon for positive \(C_ 0\)-groups. Zbl 0543.47032Arendt, Wolfgang 7 1982 Diffusion determines the manifold. Zbl 1260.58016Arendt, W.; Biegert, M.; ter Elst, A. F. M. 7 2012 Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015Arendt, Wolfgang; Bu, Shangquan 7 2010 Local operators and forms. Zbl 1099.47035Arendt, Wolfgang; Thomaschewski, Sonja 7 2005 An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376Arendt, W.; Regińska, T. 7 2009 The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022Arendt, W.; ter Elst, A. F. M. 7 2015 Factorization by lattice homomorphisms. Zbl 0558.47029Arendt, Wolfgang 7 1984 Resolvent positive operators and inhomogeneous boundary conditions. Zbl 1072.35077Arendt, Wolfgang 6 2000 Spectrum and asymptotics of the Black-Scholes partial differential equation in \((L^ 1,L^ \infty)\)-interpolation spaces. Zbl 1052.35029Arendt, Wolfgang; de Pagter, Ben 6 2002 Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768Arendt, W.; ter Elst, A. F. M. 6 2017 Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Zbl 0842.35087Arendt, W.; Monniaux, S. 6 1995 The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037Arendt, Wolfgang; Batty, Charles J. K. 6 1997 Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 6 2008 Asymptotic stability of Schrödinger semigroups on \(L^ 1(\mathbb{R}^ N)\). Zbl 0761.47019Arendt, Wolfgang; Batty, Charles J. K.; Bénilan, Philippe 6 1992 Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020Arendt, Wolfgang; Bu, Shangquan; Haase, Markus 6 2001 Order isomorphisms of Fourier-Stieltjes algebras. Zbl 0495.43003Arendt, Wolfgang; De Canniere, Jean 5 1983 Ideals of regular operators on \(l^ 2\). Zbl 0524.47027Arendt, W.; Sourour, A. R. 5 1983 The spectral mapping theorem for one-parameter groups of positive operators on \(C_ 0(X)\). Zbl 0536.47032Arendt, W.; Greiner, G. 5 1984 A complex Tauberian theorem and mean ergodic semigroups. Zbl 0836.47032Arendt, Wolfgang; Batty, Charles J. K. 5 1995 In Koenigs’ footsteps: diagonalization of composition operators. Zbl 1436.30049Arendt, W.; Célariès, B.; Chalendar, I. 5 2020 Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta 5 2014 The Dirichlet problem without the maximum principle. (Le problème de Dirichlet sans le principe maximum.) Zbl 1427.35013Arendt, Wolfgang; ter Elst, A. F. M. 5 2019 Dirichlet regularity and degenerate diffusion. Zbl 1205.35139Arendt, Wolfgang; Chovanec, Michal 5 2010 Spectrum and growth of positive semigroups. Zbl 0834.47031Arendt, Wolfgang 5 1994 Ideale regulärer Operatoren und Kompaktheit positiver Operatoren zwischen Banachverbänden. (Ideals of regular operators and compactness of positive operators on Banach lattices). Zbl 0641.47044Arendt, Wolfgang; Schwarz, Hans-Ulrich 5 1987 Sums of bisectorial operators and applications. Zbl 1088.47002Arendt, Wolfgang; Bu, Shangquan 4 2005 Semigroup properties by Gaussian estimates. Zbl 1074.47508Arendt, W. 4 1997 Vector-valued holomorphic and harmonic functions. Zbl 1350.46031Arendt, Wolfgang 4 2016 Principal eigenvalues and perturbation. Zbl 0834.47032Arendt, Wolfgang; Batty, Charles J. K. 4 1994 Analytical aspects of isospectral drums. Zbl 1327.58032Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B. 4 2014 Semigroups generated by elliptic operators in non-divergence form on \(C_o(\Omega)\). Zbl 1327.35134Arendt, Wolfgang; Schätzle, Reiner 4 2014 Lions’ representation theorem and applications. Zbl 07659439Arendt, W.; Chalendar, I.; Eymard, R. 1 2023 Galerkin approximation of linear problems in Banach and Hilbert spaces. Zbl 07465495Arendt, W.; Chalendar, I.; Eymard, R. 2 2022 Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. Zbl 1439.30083Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S. 9 2020 In Koenigs’ footsteps: diagonalization of composition operators. Zbl 1436.30049Arendt, W.; Célariès, B.; Chalendar, I. 5 2020 Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions. Zbl 1445.35094Arendt, Wolfgang; ter Elst, A. F. M.; Glück, Jochen 2 2020 Maximal \(L^2\)-regularity in nonlinear gradient systems and perturbations of sublinear growth. Zbl 1430.35149Arendt, Wolfgang; Hauer, Daniel 1 2020 The Dirichlet problem without the maximum principle. (Le problème de Dirichlet sans le principe maximum.) Zbl 1427.35013Arendt, Wolfgang; ter Elst, A. F. M. 5 2019 Generators of semigroups on Banach spaces inducing holomorphic semiflows. Zbl 07015399Arendt, Wolfgang; Chalendar, Isabelle 2 2019 Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026Arendt, Wolfgang; Kreuter, Marcel 17 2018 Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. Zbl 06971428Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi 15 2018 Diffusion with nonlocal Robin boundary conditions. Zbl 1469.35101Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 4 2018 Partial differential equations. An introduction to analytic and numerical methods. 2nd edition. (Partielle Differenzialgleichungen. Eine Einführung in analytische und numerische Methoden.) Zbl 1410.00005Arendt, Wolfgang; Urban, Karsten 1 2018 J. L. Lions’ problem on maximal regularity. Zbl 1377.35045Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan 10 2017 Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768Arendt, W.; ter Elst, A. F. M. 6 2017 Diffusion determines the compact manifold. Zbl 1382.58026Arendt, W.; Ter Elst, A. F. M. 2 2017 Maximal regularity for non-autonomous Robin boundary conditions. Zbl 06639277Arendt, Wolfgang; Monniaux, Sylvie 12 2016 Diffusion with nonlocal boundary conditions. Zbl 1337.47062Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 10 2016 Vector-valued holomorphic and harmonic functions. Zbl 1350.46031Arendt, Wolfgang 4 2016 The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022Arendt, W.; ter Elst, A. F. M. 7 2015 Countable spectrum, transfinite induction and stability. Zbl 1338.47044Arendt, Wolfgang 1 2015 The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M. 38 2014 Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati 26 2014 Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta 5 2014 Analytical aspects of isospectral drums. Zbl 1327.58032Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B. 4 2014 Semigroups generated by elliptic operators in non-divergence form on \(C_o(\Omega)\). Zbl 1327.35134Arendt, Wolfgang; Schätzle, Reiner 4 2014 Invariance of convex sets for non-autonomous evolution equations governed by forms. Zbl 1295.35285Arendt, Wolfgang; Ouhabaz, El Maati 3 2014 Sectorial forms and degenerate differential operators. Zbl 1243.47009Arendt, W.; ter Elst, A. F. M. 52 2012 Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139Arendt, Wolfgang; Mazzeo, Rafe 37 2012 From forms to semigroups. Zbl 1272.47003Arendt, Wolfgang; ter Elst, A. F. M. 20 2012 Diffusion determines the manifold. Zbl 1260.58016Arendt, W.; Biegert, M.; ter Elst, A. F. M. 7 2012 Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 332 2011 The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036Arendt, W.; ter Elst, A. F. M. 39 2011 Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202Arendt, Wolfgang; Chill, Ralph 11 2010 Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015Arendt, Wolfgang; Bu, Shangquan 7 2010 Dirichlet regularity and degenerate diffusion. Zbl 1205.35139Arendt, Wolfgang; Chovanec, Michal 5 2010 Decomposing and twisting bisectorial operators. Zbl 1194.47046Arendt, Wolfgang; Zamboni, Alessandro 3 2010 Partial differential equations. An introduction to analytic and numerical methods. (Partielle Differenzialgleichungen. Eine Einführung in analytische und numerische Methoden.) Zbl 1198.00001Arendt, Wolfgang; Urban, Karsten 2 2010 Weyl’s law: spectral properties of the Laplacian in mathematics and physics. Zbl 1185.35154Arendt, Wolfgang; Nittka, Robin; Peter, Wolfgang; Steiner, Frank 29 2009 Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001 10 2009 Equivalent complete norms and positivity. Zbl 1182.46006Arendt, Wolfgang; Nittka, Robin 9 2009 An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376Arendt, W.; Regińska, T. 7 2009 Simulating the formation of keratin filament networks by a piecewise-deterministic Markov process. Zbl 1400.92160Beil, Michael; Lück, Sebastian; Fleischer, Frank; Portet, Stéphanie; Arendt, Wolfgang; Schmidt, Volker 3 2009 Linear evolution operators on spaces of periodic functions. Zbl 1169.47034Arendt, Wolfgang; Rabier, Patrick J. 1 2009 Positive semigroups of kernel operators. Zbl 1151.47047Arendt, Wolfgang 12 2008 Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011Arendt, Wolfgang; Daners, Daniel 12 2008 The Dirichlet problem by variational methods. Zbl 1167.35011Arendt, Wolfgang; Daners, Daniel 9 2008 Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 6 2008 Functional analysis and evolution equations. The Günter Lumer volume. Zbl 1131.46001 1 2008 \(L^{p}\)-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César 45 2007 Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055Arendt, Wolfgang; Daners, Daniel 13 2007 Forms, functional calculus, cosine functions and perturbation. Zbl 1128.47021Arendt, Wolfgang; Batty, Charles J. K. 2 2007 Outgrowths of Hardy’s inequality. Zbl 1113.26017Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A. 17 2006 Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108Arendt, W.; Duelli, M. 17 2006 Schrödinger operators with unbounded drift. Zbl 1107.35052Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 12 2006 Rank-1 perturbations of cosine functions and semigroups. Zbl 1104.47046Arendt, Wolfgang; Batty, Charles J. K. 3 2006 Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034Arendt, Wolfgang; Demuth, Michael 3 2006 Local operators and forms. Zbl 1099.47035Arendt, Wolfgang; Thomaschewski, Sonja 7 2005 Sums of bisectorial operators and applications. Zbl 1088.47002Arendt, Wolfgang; Bu, Shangquan 4 2005 Semigroups and evolution equations: functional calculus, regularity and kernel estimates. Zbl 1082.35001Arendt, Wolfgang 86 2004 Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009Arendt, Wolfgang; Bu, Shangquan 69 2004 Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005Arendt, Wolfgang; Batty, Charles; Bu, Shangquan 33 2004 Operator-valued multiplier theorems characterizing Hilbert spaces. Zbl 1078.42003Arendt, Wolfgang; Bu, Shangquan 2 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 1028.31004Arendt, Wolfgang; Warma, Mahamadi 50 2003 The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S. 32 2003 Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005Arendt, Wolfgang; Warma, Mahamadi 25 2003 Tools for maximal regularity. Zbl 1041.47018Arendt, Wolfgang; Bu, Shangquan 17 2003 The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008Arendt, Wolfgang; Bu, Shangquan 92 2002 Does diffusion determine the body? Zbl 1099.35164Arendt, W. 8 2002 Spectrum and asymptotics of the Black-Scholes partial differential equation in \((L^ 1,L^ \infty)\)-interpolation spaces. Zbl 1052.35029Arendt, Wolfgang; de Pagter, Ben 6 2002 Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 517 2001 Approximation of degenerate semigroups. Zbl 1025.47023Arendt, Wolfgang 14 2001 Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020Arendt, Wolfgang; Bu, Shangquan; Haase, Markus 6 2001 Different domains induce different heat semigroups on \(C_0(\Omega)\). Zbl 0980.35168Arendt, W. 4 2001 Introduction to the special issue [Tosio Kato (1917-1999) (with list of publications)]. Zbl 1036.01504Arendt, Wolfgang; Goldstein, Jerome A.; Nagel, Rainer 1 2001 Vector-valued holomorphic functions revisited. Zbl 0976.46030Arendt, W.; Nikolski, N. 25 2000 Resolvent positive operators and inhomogeneous boundary conditions. Zbl 1072.35077Arendt, Wolfgang 6 2000 Slowly oscillating solutions of Cauchy problems with countable spectrum. Zbl 1006.34049Arendt, W.; Batty, C. J. K. 2 2000 Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. Zbl 0952.34048Arendt, Wolfgang; Batty, Charles J. K. 29 1999 Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041Arendt, Wolfgang; Bénilan, Philippe 20 1999 Discrete spectrum and almost periodicity. Zbl 0947.34068Arendt, Wolfgang; Schweiker, Sibylle 7 1999 On the infinite product of \(C_0\)-semigroups. Zbl 0928.47026Arendt, W.; Driouich, A.; El-Mennaoui, O. 3 1998 Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041Arendt, W.; ter Elst, A. F. M. 54 1997 Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046Arendt, Wolfgang; Batty, Charles J. K. 37 1997 Boundary values of holomorphic semigroups. Zbl 0869.47025Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias 9 1997 The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037Arendt, Wolfgang; Batty, Charles J. K. 6 1997 Semigroup properties by Gaussian estimates. Zbl 1074.47508Arendt, W. 4 1997 The spectral bound of Schrödinger operators. Zbl 0874.35079Arendt, Wolfgang; Batty, Charles J. K. 2 1996 Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Zbl 0842.35087Arendt, W.; Monniaux, S. 6 1995 A complex Tauberian theorem and mean ergodic semigroups. Zbl 0836.47032Arendt, Wolfgang; Batty, Charles J. K. 5 1995 Gaussian estimates and interpolation of the spectrum in \(L^ p\). Zbl 0827.35081Arendt, Wolfgang 40 1994 Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034Arendt, W.; El-Mennaoui, O.; Keyantuo, V. 28 1994 Spectral properties of the operator equation \(AX+XB=Y\). Zbl 0826.47013Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed 22 1994 Integral representations of resolvents and semigroups. Zbl 0803.47046Arendt, Wolfgang; Bukhvalov, Alexander V. 18 1994 Spectrum and growth of positive semigroups. Zbl 0834.47031Arendt, Wolfgang 5 1994 Principal eigenvalues and perturbation. Zbl 0834.47032Arendt, Wolfgang; Batty, Charles J. K. 4 1994 Absorption semigroups and Dirichlet boundary conditions. Zbl 0788.47031Arendt, W.; Batty, C. J. K. 24 1993 Integrated solutions to implicit differential equations. Zbl 0814.34049Arendt, W.; Favini, A. 15 1993 Exponential stability of a diffusion equation with absorption. Zbl 0817.35007Arendt, Wolfgang; Batty, Charles J. K. 14 1993 Vector-valued versions of some representation theorems in real analysis. Zbl 0804.47036Arendt, W. 3 1993 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,019 Authors 57 Arendt, Wolfgang 53 Lizama, Carlos 51 Kostić, Marko 35 Bu, Shangquan 29 Batty, Charles J. K. 29 ter Elst, Antonius Frederik Maria 26 Miana, Pedro J. 26 Warma, Mahamadi 25 Hieber, Matthias 23 Ezzinbi, Khalil 23 Mugnolo, Delio 23 Nguyen Van Minh 22 Nicaise, Serge 21 Daners, Daniel 21 Ouhabaz, El Maati 20 Cai, Gang 20 Glück, Jochen 18 Bobrowski, Adam 18 Keyantuo, Valentin 18 Magal, Pierre 17 Chill, Ralph 17 Gesztesy, Fritz 17 Tomilov, Yuri 16 Cuevas, Claudio 16 Henríquez, Hernán R. 16 Metafune, Giorgio 16 Pilipović, Stevan 15 Banasiak, Jacek 14 Benchohra, Mouffak 14 Voigt, Jurgen 14 Wehbe, Ali 13 Li, Miao 13 Meerschaert, Mark Marvin 13 Ponce, Rodrigo F. 13 Rehberg, Joachim 13 Seifert, David 13 van Neerven, Jan M. A. M. 12 Baskakov, Anatoliĭ Grigor’evich 12 ElMennaoui, Omar 12 Goldstein, Jerome Arthur 12 Paunonen, Lassi 11 Abadias, Luciano 11 Benaissa, Abbes 11 Chalendar, Isabelle 11 Gupur, Geni 11 Kovács, Mihály 11 Melnikova, Irina V. 11 O’Regan, Donal 11 Veraar, Mark C. 10 Biegert, Markus 10 deLaubenfels, Ralph J. 10 Fackler, Stephan 10 Mokhtar-Kharroubi, Mustapha 10 Nittka, Robin 10 Räbiger, Frank 10 Shakhmurov, Veli B. 10 Shaw, Sen-Yen 10 Tcheugoué Tébou, Louis Roder 10 Velinov, Daniel 9 Akil, Mohammad 9 Basit, Bolis 9 Bäumer, Boris 9 Behrndt, Jussi 9 Dell’Oro, Filippo 9 Ducrot, Arnaud 9 Galé, José E. 9 Gomilko, Alexandre M. 9 Kennedy, James Bernard 9 Kunze, Markus Christian 9 Li, Buyang 9 Poblete, Verónica 9 Schnaubelt, Roland 9 Xiao, Ti-Jun 9 Zheng, Quan 8 Adimy, Mostafa 8 Engel, Klaus-Jochen 8 Fan, Zhenbin 8 Gerlach, Moritz 8 Haase, Markus 8 Hauer, Daniel 8 Liang, Jin 8 Nagel, Rainer J. 8 Naito, Toshiki 8 Neubrander, Frank 8 N’Guérékata, Gaston Mandata 8 Ntouyas, Sotiris K. 8 Pata, Vittorino 8 Peng, Jigen 8 Piskarëv, S. I. 8 Prüß, Jan Wilhelm 8 Rozendaal, Jan 8 Spina, Chiara 8 Vijayakumar, Velusamy 8 Vogt, Hendrik 7 Agarwal, Ravi P. 7 Avalos, George 7 Chen, Chuang 7 Emamirad, Hassan Ali 7 Favini, Angelo 7 Fëdorov, Vladimir Evgen’evich ...and 1,919 more Authors all top 5 Cited in 352 Serials 166 Journal of Mathematical Analysis and Applications 114 Journal of Differential Equations 107 Journal of Evolution Equations 90 Semigroup Forum 85 Journal of Functional Analysis 57 Proceedings of the American Mathematical Society 38 Positivity 36 Integral Equations and Operator Theory 34 Archiv der Mathematik 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Mathematische Nachrichten 27 Transactions of the American Mathematical Society 26 Mathematische Zeitschrift 22 Mathematische Annalen 21 Journal of Mathematical Sciences (New York) 20 Advances in Difference Equations 19 Applicable Analysis 19 Indagationes Mathematicae. 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Scienze Matematiche 5 S\(\vec{\text{e}}\)MA Journal ...and 252 more Serials all top 5 Cited in 56 Fields 1,195 Operator theory (47-XX) 947 Partial differential equations (35-XX) 466 Ordinary differential equations (34-XX) 324 Functional analysis (46-XX) 171 Systems theory; control (93-XX) 143 Probability theory and stochastic processes (60-XX) 117 Integral equations (45-XX) 111 Real functions (26-XX) 91 Harmonic analysis on Euclidean spaces (42-XX) 91 Numerical analysis (65-XX) 76 Mechanics of deformable solids (74-XX) 70 Abstract harmonic analysis (43-XX) 65 Fluid mechanics (76-XX) 65 Biology and other natural sciences (92-XX) 56 Dynamical systems and ergodic theory (37-XX) 50 Integral transforms, operational calculus (44-XX) 49 Global analysis, analysis on manifolds (58-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 38 Difference and functional equations (39-XX) 33 Functions of a complex variable (30-XX) 32 Statistical mechanics, structure of matter (82-XX) 29 Quantum theory (81-XX) 26 Potential theory (31-XX) 22 Operations research, mathematical programming (90-XX) 18 Special functions (33-XX) 17 Sequences, series, summability (40-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Topological groups, Lie groups (22-XX) 13 Measure and integration (28-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Approximations and expansions (41-XX) 10 Number theory (11-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Computer science (68-XX) 7 Combinatorics (05-XX) 7 Statistics (62-XX) 7 Optics, electromagnetic theory (78-XX) 6 Group theory and generalizations (20-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Information and communication theory, circuits (94-XX) 5 Geophysics (86-XX) 4 Mathematical logic and foundations (03-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 General topology (54-XX) 3 Relativity and gravitational theory (83-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 Algebraic geometry (14-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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