Edit Profile Arendt, Wolfgang Compute Distance To: Compute Author ID: arendt.wolfgang Published as: Arendt, W.; Arendt, Wolfgang Homepage: https://www.uni-ulm.de/mawi/iaa/members/professors/arendt.html External Links: MGP · Wikidata · GND Documents Indexed: 143 Publications since 1978, including 11 Books Reviewing Activity: 41 Reviews all top 5 Co-Authors 24 single-authored 20 Batty, Charles J. K. 13 ter Elst, Antonius Frederik Maria 8 Bu, Shangquan 6 Chalendar, Isabelle 4 Dier, Dominik 4 Hieber, Matthias 4 Neubrander, Frank 3 Bénilan, Philippe 3 Chill, Ralph 3 Daners, Daniel 3 ElMennaoui, Omar 3 Metafune, Giorgio 3 Nittka, Robin 3 Pallara, Diego 3 Sourour, Ahmed Ramzi 2 Chovanec, Michal 2 De Canniere, Jean 2 Goldstein, Jerome Arthur 2 Kennedy, James Bernard 2 Kreuter, Marcel 2 Kumar, Mahesh 2 Kunkel, Stefan 2 Kunze, Markus Christian 2 Monniaux, Sylvie 2 Nagel, Rainer J. 2 Ouhabaz, El Maati 2 Srivastava, Sachi 2 Tomilov, Yuri 2 Urban, Karsten 2 Voigt, Jurgen 2 Warma, Mahamadi 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 Célariès, B. 1 Chernoff, Paul R. 1 D’Antoni, Claudio 1 de Pagter, Bernardus 1 Demuth, Michael 1 Driouich, Abderrahim 1 Duelli, Markus Michael 1 Fackler, Stephan 1 Favini, Angelo 1 Fleischer, Frank 1 Fornaro, Simona 1 Förster, Karl-Heinz 1 Glück, Jochen 1 Greiner, Günther 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 Lück, Sebastian 1 Mazzeo, Rafe R. 1 Mbekhta, Mostafa 1 Mehrmann, Volker 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 Schlotterbeck, Ulf 1 Schmidt, Volker 1 Schwarz, Hans-Ulrich 1 Schweiker, Sibylle 1 Steiner, Frank 1 Thomaschewski, Sonja 1 Trunk, Carsten 1 von Below, Joachim 1 Zamboni, Alessandro 1 Zemánek, Jaroslav all top 5 Serials 7 Journal of Functional Analysis 6 Mathematische Zeitschrift 5 Journal of Operator Theory 4 Journal of Mathematical Analysis and Applications 4 Archiv der Mathematik 4 Journal of Differential Equations 4 Semigroup Forum 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 2 Israel Journal of Mathematics 2 Bulletin of the London Mathematical Society 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Monographs in Mathematics 2 Operator Theory: Advances and Applications 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 Illinois Journal of Mathematics 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 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Operators and Matrices 1 Journal of Theoretical Biology 1 Concrete Operators 1 Pure and Applied Analysis all top 5 Fields 112 Operator theory (47-XX) 65 Partial differential equations (35-XX) 28 Functional analysis (46-XX) 15 Ordinary differential equations (34-XX) 8 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 Harmonic analysis on Euclidean spaces (42-XX) 7 Abstract harmonic analysis (43-XX) 5 Functions of a complex variable (30-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Integral equations (45-XX) 3 Sequences, series, summability (40-XX) 3 Numerical analysis (65-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 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 123 Publications have been cited 2,611 times in 1,779 Documents Cited by ▼ Year ▼ Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 452 2001 Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 225 2011 Vector-valued Laplace transforms and Cauchy problems. Zbl 0637.44001Arendt, Wolfgang 188 1987 Tauberian theorems and stability of one-parameter semigroups. Zbl 0652.47022Arendt, W.; Batty, C. J. K. 145 1988 Resolvent positive operators. Zbl 0617.47029Arendt, Wolfgang 103 1987 The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008Arendt, Wolfgang; Bu, Shangquan 83 2002 Semigroups and evolution equations: functional calculus, regularity and kernel estimates. Zbl 1082.35001Arendt, Wolfgang 73 2004 Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009Arendt, Wolfgang; Bu, Shangquan 63 2004 Integrated solutions of Volterra integrodifferential equations and applications. Zbl 0675.45017Arendt, W.; Kellermann, H. 44 1989 Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041Arendt, W.; ter Elst, A. F. M. 41 1997 The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004Arendt, Wolfgang; Warma, Mahamadi 40 2003 Sectorial forms and degenerate differential operators. Zbl 1243.47009Arendt, W.; ter Elst, A. F. M. 39 2012 Spectral properties of Lamperti operators. Zbl 0488.47016Arendt, Wolfgang 39 1983 On the 0-spektrum of regular operators and the spectrum of measures. Zbl 0468.47022Arendt, Wolfgang 37 1981 \(L^{p}\)-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César 36 2007 Gaussian estimates and interpolation of the spectrum in \(L^ p\). Zbl 0827.35081Arendt, Wolfgang 36 1994 Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046Arendt, Wolfgang; Batty, Charles J. K. 35 1997 The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036Arendt, W.; ter Elst, A. F. M. 31 2011 Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005Arendt, Wolfgang; Batty, Charles; Bu, Shangquan 31 2004 The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M. 30 2014 The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S. 26 2003 Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. Zbl 0952.34048Arendt, Wolfgang; Batty, Charles J. K. 26 1999 Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. Zbl 0765.45009Arendt, Wolfgang; Prüss, Jan 26 1992 Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034Arendt, W.; El-Mennaoui, O.; Keyantuo, V. 23 1994 Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139Arendt, Wolfgang; Mazzeo, Rafe 22 2012 Absorption semigroups and Dirichlet boundary conditions. Zbl 0788.47031Arendt, W.; Batty, C. J. K. 22 1993 Interpolation of semigroups and integrated semigroups. Zbl 0782.47035Arendt, Wolfgang; Neubrander, Frank; Schlotterbeck, Ulf 22 1992 Weyl’s law: spectral properties of the Laplacian in mathematics and physics. Zbl 1185.35154Arendt, Wolfgang; Nittka, Robin; Peter, Wolfgang; Steiner, Frank 21 2009 Spectral properties of the operator equation \(AX+XB=Y\). Zbl 0826.47013Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed 21 1994 Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati 19 2014 A generalization of dissipativity and positive semigroups. Zbl 0494.47026Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio 19 1982 Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005Arendt, Wolfgang; Warma, Mahamadi 18 2003 Vector-valued holomorphic functions revisited. Zbl 0976.46030Arendt, W.; Nikolski, N. 18 2000 Perturbation of positive semigroups. Zbl 0687.47031Arendt, Wolfgang; Rhandi, Abdelaziz 16 1991 Perturbation of regular operators and the order essential spectrum. Zbl 0616.47030Arendt, W.; Sourour, A. R. 16 1986 Tools for maximal regularity. Zbl 1041.47018Arendt, Wolfgang; Bu, Shangquan 15 2003 Sobolev imbeddings and integrated semigroups. Zbl 0762.47013Arendt, W. 15 1991 From forms to semigroups. Zbl 1272.47003Arendt, Wolfgang; ter Elst, A. F. M. 14 2012 Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055Arendt, Wolfgang; Daners, Daniel 14 2007 Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108Arendt, W.; Duelli, M. 14 2006 Integral representations of resolvents and semigroups. Zbl 0803.47046Arendt, Wolfgang; Bukhvalov, Alexander V. 14 1994 Integrated solutions to implicit differential equations. Zbl 0814.34049Arendt, W.; Favini, A. 14 1993 Exponential stability of a diffusion equation with absorption. Zbl 0817.35007Arendt, Wolfgang; Batty, Charles J. K. 14 1993 On lattice isomorphisms with positive real spectrum and groups of positive operators. Zbl 0377.47026Schaefer, Helmut H.; Wolff, Manfred; Arendt, Wolfgang 13 1978 Schrödinger operators with unbounded drift. Zbl 1107.35052Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 12 2006 Approximation of degenerate semigroups. Zbl 1025.47023Arendt, Wolfgang 12 2001 Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041Arendt, Wolfgang; Bénilan, Philippe 12 1999 The spectrum of quasi-invertible disjointness preserving operators. Zbl 0611.47030Arendt, W.; Hart, D. R. 12 1986 Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011Arendt, Wolfgang; Daners, Daniel 11 2008 Maximal regularity for non-autonomous Robin boundary conditions. Zbl 06639277Arendt, Wolfgang; Monniaux, Sylvie 10 2016 Positive semigroups of kernel operators. Zbl 1151.47047Arendt, Wolfgang 10 2008 Outgrowths of Hardy’s inequality. Zbl 1113.26017Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A. 10 2006 Domination and ergodicity for positive semigroups. Zbl 0788.47032Arendt, W.; Batty, C. J. K. 10 1992 Order isomorphisms of Fourier algebras. Zbl 0506.43001Arendt, Wolfgang; De Canniere, Jean 10 1983 Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202Arendt, Wolfgang; Chill, Ralph 9 2010 Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. Zbl 06971428Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi 8 2018 Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001Arendt, Wolfgang (ed.); Schleich, Wolfgang P. (ed.) 8 2009 Kato’s inequality: A characterization of generators of positive semigroups. Zbl 0617.47028Arendt, Wolfgang 8 1984 Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026Arendt, Wolfgang; Kreuter, Marcel 7 2018 Equivalent complete norms and positivity. Zbl 1182.46006Arendt, Wolfgang; Nittka, Robin 7 2009 The Dirichlet problem by variational methods. Zbl 1167.35011Arendt, Wolfgang; Daners, Daniel 7 2008 Does diffusion determine the body? Zbl 1099.35164Arendt, W. 7 2002 Discrete spectrum and almost periodicity. Zbl 0947.34068Arendt, Wolfgang; Schweiker, Sibylle 7 1999 Positive semigroups generated by elliptic operators on Lie groups. Zbl 0748.47034Arendt, Wolfgang; Batty, Charles J. K.; Robinson, Derek W. 7 1990 Kato’s equality and spectral decompositon for positive \(C_ 0\)-groups. Zbl 0543.47032Arendt, Wolfgang 7 1982 J. L. Lions’ problem on maximal regularity. Zbl 1377.35045Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan 6 2017 Diffusion with nonlocal boundary conditions. Zbl 1337.47062Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 6 2016 Diffusion determines the manifold. Zbl 1260.58016Arendt, W.; Biegert, M.; ter Elst, A. F. M. 6 2012 Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015Arendt, Wolfgang; Bu, Shangquan 6 2010 An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376Arendt, W.; Regińska, T. 6 2009 Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 6 2008 Local operators and forms. Zbl 1099.47035Arendt, Wolfgang; Thomaschewski, Sonja 6 2005 Resolvent positive operators and inhomogeneous boundary conditions. Zbl 1072.35077Arendt, Wolfgang 6 2000 The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037Arendt, Wolfgang; Batty, Charles J. K. 6 1997 Boundary values of holomorphic semigroups. Zbl 0869.47025Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias 6 1997 Asymptotic stability of Schrödinger semigroups on \(L^ 1(\mathbb{R}^ N)\). Zbl 0761.47019Arendt, Wolfgang; Batty, Charles J. K.; Bénilan, Philippe 6 1992 Factorization by lattice homomorphisms. Zbl 0558.47029Arendt, Wolfgang 6 1984 Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768Arendt, W.; ter Elst, A. F. M. 5 2017 The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022Arendt, W.; ter Elst, A. F. M. 5 2015 Dirichlet regularity and degenerate diffusion. Zbl 1205.35139Arendt, Wolfgang; Chovanec, Michal 5 2010 Different domains induce different heat semigroups on \(C_0(\Omega)\). Zbl 0980.35168Arendt, W. 5 2001 Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Zbl 0842.35087Arendt, W.; Monniaux, S. 5 1995 A complex Tauberian theorem and mean ergodic semigroups. Zbl 0836.47032Arendt, Wolfgang; Batty, Charles J. K. 5 1995 Spectrum and growth of positive semigroups. Zbl 0834.47031Arendt, Wolfgang 5 1994 Generators of positive semigroups and resolvent positive operators. Zbl 0566.47027Arendt, Wolfgang 5 1984 The spectral mapping theorem for one-parameter groups of positive operators on \(C_ 0(X)\). Zbl 0536.47032Arendt, W.; Greiner, G. 5 1984 Order isomorphisms of Fourier-Stieltjes algebras. Zbl 0495.43003Arendt, Wolfgang; De Canniere, Jean 5 1983 Semigroups generated by elliptic operators in non-divergence form on \(C_o(\Omega)\). Zbl 1327.35134Arendt, Wolfgang; Schätzle, Reiner 4 2014 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 4 2009 Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034Arendt, Wolfgang; Demuth, Michael 4 2006 Sums of bisectorial operators and applications. Zbl 1088.47002Arendt, Wolfgang; Bu, Shangquan 4 2005 Spectrum and asymptotics of the Black-Scholes partial differential equation in \((L^ 1,L^ \infty)\)-interpolation spaces. Zbl 1052.35029Arendt, Wolfgang; de Pagter, Ben 4 2002 Semigroup properties by Gaussian estimates. Zbl 1074.47508Arendt, W. 4 1997 Principal eigenvalues and perturbation. Zbl 0834.47032Arendt, Wolfgang; Batty, Charles J. K. 4 1994 The Dirichlet problem without the maximum principle. Zbl 1427.35013Arendt, Wolfgang; ter Elst, A. F. M. 3 2019 Vector-valued holomorphic and harmonic functions. Zbl 1350.46031Arendt, Wolfgang 3 2016 Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta 3 2014 Invariance of convex sets for non-autonomous evolution equations governed by forms. Zbl 1295.35285Arendt, Wolfgang; Ouhabaz, El Maati 3 2014 Analytical aspects of isospectral drums. Zbl 1327.58032Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B. 3 2014 Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020Arendt, Wolfgang; Bu, Shangquan; Haase, Markus 3 2001 Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. Zbl 1439.30083Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S. 1 2020 In Koenigs’ footsteps: diagonalization of composition operators. Zbl 1436.30049Arendt, W.; Célariès, B.; Chalendar, I. 1 2020 The Dirichlet problem without the maximum principle. Zbl 1427.35013Arendt, Wolfgang; ter Elst, A. F. M. 3 2019 Generators of semigroups on Banach spaces inducing holomorphic semiflows. Zbl 07015399Arendt, Wolfgang; Chalendar, Isabelle 1 2019 Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. Zbl 06971428Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi 8 2018 Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026Arendt, Wolfgang; Kreuter, Marcel 7 2018 Diffusion with nonlocal Robin boundary conditions. Zbl 07009711Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 2 2018 J. L. Lions’ problem on maximal regularity. Zbl 1377.35045Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan 6 2017 Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768Arendt, W.; ter Elst, A. F. M. 5 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 10 2016 Diffusion with nonlocal boundary conditions. Zbl 1337.47062Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus 6 2016 Vector-valued holomorphic and harmonic functions. Zbl 1350.46031Arendt, Wolfgang 3 2016 The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022Arendt, W.; ter Elst, A. F. M. 5 2015 The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M. 30 2014 Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati 19 2014 Semigroups generated by elliptic operators in non-divergence form on \(C_o(\Omega)\). Zbl 1327.35134Arendt, Wolfgang; Schätzle, Reiner 4 2014 Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta 3 2014 Invariance of convex sets for non-autonomous evolution equations governed by forms. Zbl 1295.35285Arendt, Wolfgang; Ouhabaz, El Maati 3 2014 Analytical aspects of isospectral drums. Zbl 1327.58032Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B. 3 2014 Sectorial forms and degenerate differential operators. Zbl 1243.47009Arendt, W.; ter Elst, A. F. M. 39 2012 Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139Arendt, Wolfgang; Mazzeo, Rafe 22 2012 From forms to semigroups. Zbl 1272.47003Arendt, Wolfgang; ter Elst, A. F. M. 14 2012 Diffusion determines the manifold. Zbl 1260.58016Arendt, W.; Biegert, M.; ter Elst, A. F. M. 6 2012 Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 225 2011 The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036Arendt, W.; ter Elst, A. F. M. 31 2011 Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202Arendt, Wolfgang; Chill, Ralph 9 2010 Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015Arendt, Wolfgang; Bu, Shangquan 6 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 2 2010 Partial differential equations. An introduction to analytic and numerical methods. 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 21 2009 Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001Arendt, Wolfgang (ed.); Schleich, Wolfgang P. (ed.) 8 2009 Equivalent complete norms and positivity. Zbl 1182.46006Arendt, Wolfgang; Nittka, Robin 7 2009 An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376Arendt, W.; Regińska, T. 6 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 4 2009 Linear evolution operators on spaces of periodic functions. Zbl 1169.47034Arendt, Wolfgang; Rabier, Patrick J. 1 2009 Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011Arendt, Wolfgang; Daners, Daniel 11 2008 Positive semigroups of kernel operators. Zbl 1151.47047Arendt, Wolfgang 10 2008 The Dirichlet problem by variational methods. Zbl 1167.35011Arendt, Wolfgang; Daners, Daniel 7 2008 Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 6 2008 \(L^{p}\)-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César 36 2007 Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055Arendt, Wolfgang; Daners, Daniel 14 2007 Forms, functional calculus, cosine functions and perturbation. Zbl 1128.47021Arendt, Wolfgang; Batty, Charles J. K. 2 2007 Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108Arendt, W.; Duelli, M. 14 2006 Schrödinger operators with unbounded drift. Zbl 1107.35052Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego 12 2006 Outgrowths of Hardy’s inequality. Zbl 1113.26017Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A. 10 2006 Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034Arendt, Wolfgang; Demuth, Michael 4 2006 Rank-1 perturbations of cosine functions and semigroups. Zbl 1104.47046Arendt, Wolfgang; Batty, Charles J. K. 2 2006 Local operators and forms. Zbl 1099.47035Arendt, Wolfgang; Thomaschewski, Sonja 6 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 73 2004 Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009Arendt, Wolfgang; Bu, Shangquan 63 2004 Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005Arendt, Wolfgang; Batty, Charles; Bu, Shangquan 31 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 1048.35003Arendt, Wolfgang (ed.); Brézis, Haïm (ed.); Pierre, Michel (ed.) 1 2004 The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004Arendt, Wolfgang; Warma, Mahamadi 40 2003 The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S. 26 2003 Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005Arendt, Wolfgang; Warma, Mahamadi 18 2003 Tools for maximal regularity. Zbl 1041.47018Arendt, Wolfgang; Bu, Shangquan 15 2003 The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008Arendt, Wolfgang; Bu, Shangquan 83 2002 Does diffusion determine the body? Zbl 1099.35164Arendt, W. 7 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 4 2002 Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 452 2001 Approximation of degenerate semigroups. Zbl 1025.47023Arendt, Wolfgang 12 2001 Different domains induce different heat semigroups on \(C_0(\Omega)\). Zbl 0980.35168Arendt, W. 5 2001 Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020Arendt, Wolfgang; Bu, Shangquan; Haase, Markus 3 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. 18 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. 26 1999 Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041Arendt, Wolfgang; Bénilan, Philippe 12 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. 1 1998 Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041Arendt, W.; ter Elst, A. F. M. 41 1997 Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046Arendt, Wolfgang; Batty, Charles J. K. 35 1997 The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037Arendt, Wolfgang; Batty, Charles J. K. 6 1997 Boundary values of holomorphic semigroups. Zbl 0869.47025Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias 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. 5 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 36 1994 Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034Arendt, W.; El-Mennaoui, O.; Keyantuo, V. 23 1994 Spectral properties of the operator equation \(AX+XB=Y\). Zbl 0826.47013Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed 21 1994 Integral representations of resolvents and semigroups. Zbl 0803.47046Arendt, Wolfgang; Bukhvalov, Alexander V. 14 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. 22 1993 Integrated solutions to implicit differential equations. Zbl 0814.34049Arendt, W.; Favini, A. 14 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 Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. Zbl 0765.45009Arendt, Wolfgang; Prüss, Jan 26 1992 Interpolation of semigroups and integrated semigroups. Zbl 0782.47035Arendt, Wolfgang; Neubrander, Frank; Schlotterbeck, Ulf 22 1992 Domination and ergodicity for positive semigroups. Zbl 0788.47032Arendt, W.; Batty, C. J. K. 10 1992 Asymptotic stability of Schrödinger semigroups on \(L^ 1(\mathbb{R}^ N)\). Zbl 0761.47019Arendt, Wolfgang; Batty, Charles J. K.; Bénilan, Philippe 6 1992 Holomorphy of the semigroup generated by the Dirichlet Laplacian on \(L^ 1(\Omega)\). Zbl 0765.47012Arendt, Wolfgang; Batty, Charles J. K. 2 1992 Kato’s inequalities and submarkovian semigroups. Zbl 0769.47010Arendt, Wolfgang; Benilan, Philippe 1 1992 Perturbation of positive semigroups. Zbl 0687.47031Arendt, Wolfgang; Rhandi, Abdelaziz 16 1991 Sobolev imbeddings and integrated semigroups. Zbl 0762.47013Arendt, W. 15 1991 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,669 Authors 53 Lizama, Carlos 52 Arendt, Wolfgang 31 Bu, Shangquan 27 Batty, Charles J. K. 27 ter Elst, Antonius Frederik Maria 24 Miana, Pedro J. 23 Ezzinbi, Khalil 22 Hieber, Matthias 21 Nguyen Van Minh 21 Warma, Mahamadi 20 Daners, Daniel 20 Kostić, Marko 20 Ouhabaz, El Maati 19 Cuevas, Claudio 19 Mugnolo, Delio 18 Cai, Gang 17 Keyantuo, Valentin 16 Chill, Ralph 16 Magal, Pierre 15 Banasiak, Jacek 15 Bobrowski, Adam 15 Henríquez, Hernán R. 15 Tomilov, Yuri 14 Meerschaert, Mark M. 14 Metafune, Giorgio 14 Voigt, Jurgen 13 Benchohra, Mouffak 13 Gesztesy, Fritz 13 Nicaise, Serge 13 Pilipović, Stevan 13 Seifert, David 13 van Neerven, Jan M. A. M. 12 Baskakov, Anatoliĭ Grigor’evich 12 ElMennaoui, Omar 12 Goldstein, Jerome Arthur 12 Li, Miao 12 Paunonen, Lassi 12 Ponce, Rodrigo F. 11 Glück, Jochen 11 Gupur, Geni 11 Kovács, Mihály 11 Melnikova, Irina V. 11 Rehberg, Joachim 10 Abadias, Luciano 10 Bäumer, Boris 10 Biegert, Markus 10 deLaubenfels, Ralph J. 10 Fackler, Stephan 10 Nittka, Robin 10 O’Regan, Donal 10 Räbiger, Frank 10 Veraar, Mark C. 10 Zheng, Quan 9 Adimy, Mostafa 9 Agarwal, Ravi P. 9 Basit, Bolis 9 Shaw, Sen-Yen 9 Wickstead, Anthony W. 9 Xiao, Ti-Jun 8 Behrndt, Jussi 8 Chalendar, Isabelle 8 Engel, Klaus-Jochen 8 Galé, José E. 8 Haase, Markus 8 Kunze, Markus Christian 8 Li, Buyang 8 Liang, Jin 8 Nagel, Rainer J. 8 Naito, Toshiki 8 Neubrander, Frank 8 Ntouyas, Sotiris K. 8 Peng, Jigen 8 Poblete, Verónica 8 Prüß, Jan Wilhelm 8 Schnaubelt, Roland 8 Vogt, Hendrik 7 Chen, Chuang 7 de Andrade, Bruno 7 Ducrot, Arnaud 7 Favini, Angelo 7 Gerlach, Moritz 7 Gomilko, Alexandre M. 7 Huijsmans, Charles Boudewijn 7 Kostić, Marco 7 Mokhtar-Kharroubi, Mustapha 7 Monniaux, Sylvie 7 Mouton, Sonja 7 Nane, Erkan 7 N’Guérékata, Gaston Mandata 7 Pallara, Diego 7 Piskarëv, S. I. 7 Ricker, Werner Joseph 7 Robinson, Derek W. 7 Romanelli, Silvia 7 Rozendaal, Jan 7 Shakhmurov, Veli B. 7 Sobajima, Motohiro 7 Spina, Chiara 7 Thieme, Horst R. 7 Velinov, Daniel ...and 1,569 more Authors all top 5 Cited in 310 Serials 142 Journal of Mathematical Analysis and Applications 98 Journal of Differential Equations 82 Semigroup Forum 81 Journal of Functional Analysis 77 Journal of Evolution Equations 54 Proceedings of the American Mathematical Society 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Integral Equations and Operator Theory 29 Positivity 27 Mathematische Nachrichten 26 Archiv der Mathematik 24 Mathematische Zeitschrift 24 Transactions of the American Mathematical Society 20 Mathematische Annalen 19 Abstract and Applied Analysis 18 Indagationes Mathematicae. New Series 17 Journal of Mathematical Sciences (New York) 16 Israel Journal of Mathematics 16 Acta Mathematica Sinica. 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RACSAM 4 Journal of Spectral Theory 4 Eurasian Mathematical Journal 4 S\(\vec{\text{e}}\)MA Journal 4 Journal of Applied Analysis and Computation ...and 210 more Serials all top 5 Cited in 55 Fields 1,005 Operator theory (47-XX) 714 Partial differential equations (35-XX) 385 Ordinary differential equations (34-XX) 258 Functional analysis (46-XX) 118 Probability theory and stochastic processes (60-XX) 111 Systems theory; control (93-XX) 92 Integral equations (45-XX) 75 Real functions (26-XX) 73 Numerical analysis (65-XX) 67 Harmonic analysis on Euclidean spaces (42-XX) 59 Biology and other natural sciences (92-XX) 58 Abstract harmonic analysis (43-XX) 46 Mechanics of deformable solids (74-XX) 46 Fluid mechanics (76-XX) 44 Integral transforms, operational calculus (44-XX) 40 Dynamical systems and ergodic theory (37-XX) 38 Global analysis, analysis on manifolds (58-XX) 31 Difference and functional equations (39-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 25 Statistical mechanics, structure of matter (82-XX) 24 Quantum theory (81-XX) 21 Potential theory (31-XX) 21 Operations research, mathematical programming (90-XX) 18 Functions of a complex variable (30-XX) 17 Sequences, series, summability (40-XX) 13 Topological groups, Lie groups (22-XX) 10 Measure and integration (28-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Number theory (11-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Special functions (33-XX) 9 Approximations and expansions (41-XX) 8 Statistics (62-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Computer science (68-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Group theory and generalizations (20-XX) 5 Combinatorics (05-XX) 5 Information and communication theory, circuits (94-XX) 4 Mathematical logic and foundations (03-XX) 4 General topology (54-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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