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## Arendt, Wolfgang

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 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
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#### 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
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#### 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
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#### 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)

#### 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 0978.34001
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2001
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2011
Vector-valued Laplace transforms and Cauchy problems. Zbl 0637.44001
Arendt, Wolfgang
1987
Tauberian theorems and stability of one-parameter semigroups. Zbl 0652.47022
Arendt, W.; Batty, C. J. K.
1988
Resolvent positive operators. Zbl 0617.47029
Arendt, Wolfgang
1987
The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008
Arendt, Wolfgang; Bu, Shangquan
2002
Semigroups and evolution equations: functional calculus, regularity and kernel estimates. Zbl 1082.35001
Arendt, Wolfgang
2004
Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009
Arendt, Wolfgang; Bu, Shangquan
2004
Integrated solutions of Volterra integrodifferential equations and applications. Zbl 0675.45017
Arendt, W.; Kellermann, H.
1989
Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041
Arendt, W.; ter Elst, A. F. M.
1997
The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004
2003
Sectorial forms and degenerate differential operators. Zbl 1243.47009
Arendt, W.; ter Elst, A. F. M.
2012
Spectral properties of Lamperti operators. Zbl 0488.47016
Arendt, Wolfgang
1983
On the 0-spektrum of regular operators and the spectrum of measures. Zbl 0468.47022
Arendt, Wolfgang
1981
$$L^{p}$$-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037
Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César
2007
Gaussian estimates and interpolation of the spectrum in $$L^ p$$. Zbl 0827.35081
Arendt, Wolfgang
1994
Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046
Arendt, Wolfgang; Batty, Charles J. K.
1997
The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036
Arendt, W.; ter Elst, A. F. M.
2011
Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005
Arendt, Wolfgang; Batty, Charles; Bu, Shangquan
2004
The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M.
2014
The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045
Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S.
2003
Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. Zbl 0952.34048
Arendt, Wolfgang; Batty, Charles J. K.
1999
Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. Zbl 0765.45009
Arendt, Wolfgang; Prüss, Jan
1992
Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034
Arendt, W.; El-Mennaoui, O.; Keyantuo, V.
1994
Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139
Arendt, Wolfgang; Mazzeo, Rafe
2012
Absorption semigroups and Dirichlet boundary conditions. Zbl 0788.47031
Arendt, W.; Batty, C. J. K.
1993
Interpolation of semigroups and integrated semigroups. Zbl 0782.47035
Arendt, Wolfgang; Neubrander, Frank; Schlotterbeck, Ulf
1992
Weyl’s law: spectral properties of the Laplacian in mathematics and physics. Zbl 1185.35154
Arendt, Wolfgang; Nittka, Robin; Peter, Wolfgang; Steiner, Frank
2009
Spectral properties of the operator equation $$AX+XB=Y$$. Zbl 0826.47013
Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed
1994
Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106
Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati
2014
A generalization of dissipativity and positive semigroups. Zbl 0494.47026
Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio
1982
Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005
2003
Vector-valued holomorphic functions revisited. Zbl 0976.46030
Arendt, W.; Nikolski, N.
2000
Perturbation of positive semigroups. Zbl 0687.47031
Arendt, Wolfgang; Rhandi, Abdelaziz
1991
Perturbation of regular operators and the order essential spectrum. Zbl 0616.47030
Arendt, W.; Sourour, A. R.
1986
Tools for maximal regularity. Zbl 1041.47018
Arendt, Wolfgang; Bu, Shangquan
2003
Sobolev imbeddings and integrated semigroups. Zbl 0762.47013
Arendt, W.
1991
From forms to semigroups. Zbl 1272.47003
Arendt, Wolfgang; ter Elst, A. F. M.
2012
Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055
Arendt, Wolfgang; Daners, Daniel
2007
Maximal $$L^{p}$$-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108
Arendt, W.; Duelli, M.
2006
Integral representations of resolvents and semigroups. Zbl 0803.47046
Arendt, Wolfgang; Bukhvalov, Alexander V.
1994
Integrated solutions to implicit differential equations. Zbl 0814.34049
Arendt, W.; Favini, A.
1993
Exponential stability of a diffusion equation with absorption. Zbl 0817.35007
Arendt, Wolfgang; Batty, Charles J. K.
1993
On lattice isomorphisms with positive real spectrum and groups of positive operators. Zbl 0377.47026
Schaefer, Helmut H.; Wolff, Manfred; Arendt, Wolfgang
1978
Schrödinger operators with unbounded drift. Zbl 1107.35052
Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego
2006
Approximation of degenerate semigroups. Zbl 1025.47023
Arendt, Wolfgang
2001
Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041
Arendt, Wolfgang; Bénilan, Philippe
1999
The spectrum of quasi-invertible disjointness preserving operators. Zbl 0611.47030
Arendt, W.; Hart, D. R.
1986
Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011
Arendt, Wolfgang; Daners, Daniel
2008
Maximal regularity for non-autonomous Robin boundary conditions. Zbl 06639277
Arendt, Wolfgang; Monniaux, Sylvie
2016
Positive semigroups of kernel operators. Zbl 1151.47047
Arendt, Wolfgang
2008
Outgrowths of Hardy’s inequality. Zbl 1113.26017
Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A.
2006
Domination and ergodicity for positive semigroups. Zbl 0788.47032
Arendt, W.; Batty, C. J. K.
1992
Order isomorphisms of Fourier algebras. Zbl 0506.43001
Arendt, Wolfgang; De Canniere, Jean
1983
Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202
Arendt, Wolfgang; Chill, Ralph
2010
Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. Zbl 06971428
Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi
2018
Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001
Arendt, Wolfgang (ed.); Schleich, Wolfgang P. (ed.)
2009
Kato’s inequality: A characterization of generators of positive semigroups. Zbl 0617.47028
Arendt, Wolfgang
1984
Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026
Arendt, Wolfgang; Kreuter, Marcel
2018
Equivalent complete norms and positivity. Zbl 1182.46006
Arendt, Wolfgang; Nittka, Robin
2009
The Dirichlet problem by variational methods. Zbl 1167.35011
Arendt, Wolfgang; Daners, Daniel
2008
Does diffusion determine the body? Zbl 1099.35164
Arendt, W.
2002
Discrete spectrum and almost periodicity. Zbl 0947.34068
Arendt, Wolfgang; Schweiker, Sibylle
1999
Positive semigroups generated by elliptic operators on Lie groups. Zbl 0748.47034
Arendt, Wolfgang; Batty, Charles J. K.; Robinson, Derek W.
1990
Kato’s equality and spectral decompositon for positive $$C_ 0$$-groups. Zbl 0543.47032
Arendt, Wolfgang
1982
J. L. Lions’ problem on maximal regularity. Zbl 1377.35045
Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan
2017
Diffusion with nonlocal boundary conditions. Zbl 1337.47062
Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus
2016
Diffusion determines the manifold. Zbl 1260.58016
Arendt, W.; Biegert, M.; ter Elst, A. F. M.
2012
Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015
Arendt, Wolfgang; Bu, Shangquan
2010
An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376
Arendt, W.; Regińska, T.
2009
Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038
Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego
2008
Local operators and forms. Zbl 1099.47035
Arendt, Wolfgang; Thomaschewski, Sonja
2005
Resolvent positive operators and inhomogeneous boundary conditions. Zbl 1072.35077
Arendt, Wolfgang
2000
The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037
Arendt, Wolfgang; Batty, Charles J. K.
1997
Boundary values of holomorphic semigroups. Zbl 0869.47025
Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias
1997
Asymptotic stability of Schrödinger semigroups on $$L^ 1(\mathbb{R}^ N)$$. Zbl 0761.47019
Arendt, Wolfgang; Batty, Charles J. K.; Bénilan, Philippe
1992
Factorization by lattice homomorphisms. Zbl 0558.47029
Arendt, Wolfgang
1984
Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768
Arendt, W.; ter Elst, A. F. M.
2017
The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022
Arendt, W.; ter Elst, A. F. M.
2015
Dirichlet regularity and degenerate diffusion. Zbl 1205.35139
Arendt, Wolfgang; Chovanec, Michal
2010
Different domains induce different heat semigroups on $$C_0(\Omega)$$. Zbl 0980.35168
Arendt, W.
2001
Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Zbl 0842.35087
Arendt, W.; Monniaux, S.
1995
A complex Tauberian theorem and mean ergodic semigroups. Zbl 0836.47032
Arendt, Wolfgang; Batty, Charles J. K.
1995
Spectrum and growth of positive semigroups. Zbl 0834.47031
Arendt, Wolfgang
1994
Generators of positive semigroups and resolvent positive operators. Zbl 0566.47027
Arendt, Wolfgang
1984
The spectral mapping theorem for one-parameter groups of positive operators on $$C_ 0(X)$$. Zbl 0536.47032
Arendt, W.; Greiner, G.
1984
Order isomorphisms of Fourier-Stieltjes algebras. Zbl 0495.43003
Arendt, Wolfgang; De Canniere, Jean
1983
Semigroups generated by elliptic operators in non-divergence form on $$C_o(\Omega)$$. Zbl 1327.35134
Arendt, Wolfgang; Schätzle, Reiner
2014
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
2009
Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034
Arendt, Wolfgang; Demuth, Michael
2006
Sums of bisectorial operators and applications. Zbl 1088.47002
Arendt, Wolfgang; Bu, Shangquan
2005
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
2002
Semigroup properties by Gaussian estimates. Zbl 1074.47508
Arendt, W.
1997
Principal eigenvalues and perturbation. Zbl 0834.47032
Arendt, Wolfgang; Batty, Charles J. K.
1994
The Dirichlet problem without the maximum principle. Zbl 1427.35013
Arendt, Wolfgang; ter Elst, A. F. M.
2019
Vector-valued holomorphic and harmonic functions. Zbl 1350.46031
Arendt, Wolfgang
2016
Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192
Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta
2014
Invariance of convex sets for non-autonomous evolution equations governed by forms. Zbl 1295.35285
Arendt, Wolfgang; Ouhabaz, El Maati
2014
Analytical aspects of isospectral drums. Zbl 1327.58032
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.
2014
Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020
Arendt, Wolfgang; Bu, Shangquan; Haase, Markus
2001
Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. Zbl 1439.30083
Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S.
2020
In Koenigs’ footsteps: diagonalization of composition operators. Zbl 1436.30049
Arendt, W.; Célariès, B.; Chalendar, I.
2020
The Dirichlet problem without the maximum principle. Zbl 1427.35013
Arendt, Wolfgang; ter Elst, A. F. M.
2019
Generators of semigroups on Banach spaces inducing holomorphic semiflows. Zbl 07015399
Arendt, Wolfgang; Chalendar, Isabelle
2019
Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. Zbl 06971428
Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi
2018
Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026
Arendt, Wolfgang; Kreuter, Marcel
2018
Diffusion with nonlocal Robin boundary conditions. Zbl 07009711
Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus
2018
J. L. Lions’ problem on maximal regularity. Zbl 1377.35045
Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan
2017
Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768
Arendt, W.; ter Elst, A. F. M.
2017
Diffusion determines the compact manifold. Zbl 1382.58026
Arendt, W.; Ter Elst, A. F. M.
2017
Maximal regularity for non-autonomous Robin boundary conditions. Zbl 06639277
Arendt, Wolfgang; Monniaux, Sylvie
2016
Diffusion with nonlocal boundary conditions. Zbl 1337.47062
Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus
2016
Vector-valued holomorphic and harmonic functions. Zbl 1350.46031
Arendt, Wolfgang
2016
The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022
Arendt, W.; ter Elst, A. F. M.
2015
The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M.
2014
Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106
Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati
2014
Semigroups generated by elliptic operators in non-divergence form on $$C_o(\Omega)$$. Zbl 1327.35134
Arendt, Wolfgang; Schätzle, Reiner
2014
Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192
Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta
2014
Invariance of convex sets for non-autonomous evolution equations governed by forms. Zbl 1295.35285
Arendt, Wolfgang; Ouhabaz, El Maati
2014
Analytical aspects of isospectral drums. Zbl 1327.58032
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.
2014
Sectorial forms and degenerate differential operators. Zbl 1243.47009
Arendt, W.; ter Elst, A. F. M.
2012
Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139
Arendt, Wolfgang; Mazzeo, Rafe
2012
From forms to semigroups. Zbl 1272.47003
Arendt, Wolfgang; ter Elst, A. F. M.
2012
Diffusion determines the manifold. Zbl 1260.58016
Arendt, W.; Biegert, M.; ter Elst, A. F. M.
2012
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2011
The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036
Arendt, W.; ter Elst, A. F. M.
2011
Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202
Arendt, Wolfgang; Chill, Ralph
2010
Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015
Arendt, Wolfgang; Bu, Shangquan
2010
Dirichlet regularity and degenerate diffusion. Zbl 1205.35139
Arendt, Wolfgang; Chovanec, Michal
2010
Decomposing and twisting bisectorial operators. Zbl 1194.47046
Arendt, Wolfgang; Zamboni, Alessandro
2010
Partial differential equations. An introduction to analytic and numerical methods. Zbl 1198.00001
Arendt, Wolfgang; Urban, Karsten
2010
Weyl’s law: spectral properties of the Laplacian in mathematics and physics. Zbl 1185.35154
Arendt, Wolfgang; Nittka, Robin; Peter, Wolfgang; Steiner, Frank
2009
Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001
Arendt, Wolfgang (ed.); Schleich, Wolfgang P. (ed.)
2009
Equivalent complete norms and positivity. Zbl 1182.46006
Arendt, Wolfgang; Nittka, Robin
2009
An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376
Arendt, W.; Regińska, T.
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
2009
Linear evolution operators on spaces of periodic functions. Zbl 1169.47034
Arendt, Wolfgang; Rabier, Patrick J.
2009
Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011
Arendt, Wolfgang; Daners, Daniel
2008
Positive semigroups of kernel operators. Zbl 1151.47047
Arendt, Wolfgang
2008
The Dirichlet problem by variational methods. Zbl 1167.35011
Arendt, Wolfgang; Daners, Daniel
2008
Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038
Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego
2008
$$L^{p}$$-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037
Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César
2007
Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055
Arendt, Wolfgang; Daners, Daniel
2007
Forms, functional calculus, cosine functions and perturbation. Zbl 1128.47021
Arendt, Wolfgang; Batty, Charles J. K.
2007
Maximal $$L^{p}$$-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108
Arendt, W.; Duelli, M.
2006
Schrödinger operators with unbounded drift. Zbl 1107.35052
Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego
2006
Outgrowths of Hardy’s inequality. Zbl 1113.26017
Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A.
2006
Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034
Arendt, Wolfgang; Demuth, Michael
2006
Rank-1 perturbations of cosine functions and semigroups. Zbl 1104.47046
Arendt, Wolfgang; Batty, Charles J. K.
2006
Local operators and forms. Zbl 1099.47035
Arendt, Wolfgang; Thomaschewski, Sonja
2005
Sums of bisectorial operators and applications. Zbl 1088.47002
Arendt, Wolfgang; Bu, Shangquan
2005
Semigroups and evolution equations: functional calculus, regularity and kernel estimates. Zbl 1082.35001
Arendt, Wolfgang
2004
Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009
Arendt, Wolfgang; Bu, Shangquan
2004
Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005
Arendt, Wolfgang; Batty, Charles; Bu, Shangquan
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
Arendt, Wolfgang (ed.); Brézis, Haïm (ed.); Pierre, Michel (ed.)
2004
The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004
2003
The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045
Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S.
2003
Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005
2003
Tools for maximal regularity. Zbl 1041.47018
Arendt, Wolfgang; Bu, Shangquan
2003
The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008
Arendt, Wolfgang; Bu, Shangquan
2002
Does diffusion determine the body? Zbl 1099.35164
Arendt, W.
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
2002
Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2001
Approximation of degenerate semigroups. Zbl 1025.47023
Arendt, Wolfgang
2001
Different domains induce different heat semigroups on $$C_0(\Omega)$$. Zbl 0980.35168
Arendt, W.
2001
Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020
Arendt, Wolfgang; Bu, Shangquan; Haase, Markus
2001
Introduction to the special issue [Tosio Kato (1917-1999) (with list of publications)]. Zbl 1036.01504
Arendt, Wolfgang; Goldstein, Jerome A.; Nagel, Rainer
2001
Vector-valued holomorphic functions revisited. Zbl 0976.46030
Arendt, W.; Nikolski, N.
2000
Resolvent positive operators and inhomogeneous boundary conditions. Zbl 1072.35077
Arendt, Wolfgang
2000
Slowly oscillating solutions of Cauchy problems with countable spectrum. Zbl 1006.34049
Arendt, W.; Batty, C. J. K.
2000
Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. Zbl 0952.34048
Arendt, Wolfgang; Batty, Charles J. K.
1999
Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041
Arendt, Wolfgang; Bénilan, Philippe
1999
Discrete spectrum and almost periodicity. Zbl 0947.34068
Arendt, Wolfgang; Schweiker, Sibylle
1999
On the infinite product of $$C_0$$-semigroups. Zbl 0928.47026
Arendt, W.; Driouich, A.; El-Mennaoui, O.
1998
Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041
Arendt, W.; ter Elst, A. F. M.
1997
Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046
Arendt, Wolfgang; Batty, Charles J. K.
1997
The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037
Arendt, Wolfgang; Batty, Charles J. K.
1997
Boundary values of holomorphic semigroups. Zbl 0869.47025
Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias
1997
Semigroup properties by Gaussian estimates. Zbl 1074.47508
Arendt, W.
1997
The spectral bound of Schrödinger operators. Zbl 0874.35079
Arendt, Wolfgang; Batty, Charles J. K.
1996
Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Zbl 0842.35087
Arendt, W.; Monniaux, S.
1995
A complex Tauberian theorem and mean ergodic semigroups. Zbl 0836.47032
Arendt, Wolfgang; Batty, Charles J. K.
1995
Gaussian estimates and interpolation of the spectrum in $$L^ p$$. Zbl 0827.35081
Arendt, Wolfgang
1994
Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034
Arendt, W.; El-Mennaoui, O.; Keyantuo, V.
1994
Spectral properties of the operator equation $$AX+XB=Y$$. Zbl 0826.47013
Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed
1994
Integral representations of resolvents and semigroups. Zbl 0803.47046
Arendt, Wolfgang; Bukhvalov, Alexander V.
1994
Spectrum and growth of positive semigroups. Zbl 0834.47031
Arendt, Wolfgang
1994
Principal eigenvalues and perturbation. Zbl 0834.47032
Arendt, Wolfgang; Batty, Charles J. K.
1994
Absorption semigroups and Dirichlet boundary conditions. Zbl 0788.47031
Arendt, W.; Batty, C. J. K.
1993
Integrated solutions to implicit differential equations. Zbl 0814.34049
Arendt, W.; Favini, A.
1993
Exponential stability of a diffusion equation with absorption. Zbl 0817.35007
Arendt, Wolfgang; Batty, Charles J. K.
1993
Vector-valued versions of some representation theorems in real analysis. Zbl 0804.47036
Arendt, W.
1993
Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. Zbl 0765.45009
Arendt, Wolfgang; Prüss, Jan
1992
Interpolation of semigroups and integrated semigroups. Zbl 0782.47035
Arendt, Wolfgang; Neubrander, Frank; Schlotterbeck, Ulf
1992
Domination and ergodicity for positive semigroups. Zbl 0788.47032
Arendt, W.; Batty, C. J. K.
1992
Asymptotic stability of Schrödinger semigroups on $$L^ 1(\mathbb{R}^ N)$$. Zbl 0761.47019
Arendt, Wolfgang; Batty, Charles J. K.; Bénilan, Philippe
1992
Holomorphy of the semigroup generated by the Dirichlet Laplacian on $$L^ 1(\Omega)$$. Zbl 0765.47012
Arendt, Wolfgang; Batty, Charles J. K.
1992
Kato’s inequalities and submarkovian semigroups. Zbl 0769.47010
Arendt, Wolfgang; Benilan, Philippe
1992
Perturbation of positive semigroups. Zbl 0687.47031
Arendt, Wolfgang; Rhandi, Abdelaziz
1991
Sobolev imbeddings and integrated semigroups. Zbl 0762.47013
Arendt, W.
1991
...and 23 more Documents
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#### 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
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#### 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. English Series 15 Applicable Analysis 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Acta Applicandae Mathematicae 14 Systems & Control Letters 13 Mathematical Methods in the Applied Sciences 13 Advances in Mathematics 13 Advances in Difference Equations 13 Complex Analysis and Operator Theory 12 Computers & Mathematics with Applications 12 Potential Analysis 12 Fractional Calculus & Applied Analysis 11 Journal of Computational and Applied Mathematics 11 Applied Mathematics Letters 10 Studia Mathematica 10 Calculus of Variations and Partial Differential Equations 10 The Journal of Fourier Analysis and Applications 10 Banach Journal of Mathematical Analysis 9 Archive for Rational Mechanics and Analysis 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Numerical Functional Analysis and Optimization 9 Quaestiones Mathematicae 9 Siberian Mathematical Journal 9 Journal of Difference Equations and Applications 8 Journal d’Analyse Mathématique 8 Journal of Mathematical Physics 8 Applied Mathematics and Computation 8 Results in Mathematics 8 MCSS. Mathematics of Control, Signals, and Systems 8 Journal of Integral Equations and Applications 8 Discrete and Continuous Dynamical Systems 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Journal of the Australian Mathematical Society 8 Discrete and Continuous Dynamical Systems. Series S 8 Journal of Pseudo-Differential Operators and Applications 8 Mathematical Control and Related Fields 8 Evolution Equations and Control Theory 7 Rocky Mountain Journal of Mathematics 7 Transport Theory and Statistical Physics 7 Czechoslovak Mathematical Journal 7 SIAM Journal on Control and Optimization 7 Zeitschrift für Analysis und ihre Anwendungen 7 Stochastic Processes and their Applications 7 Nonlinear Analysis. Theory, Methods & Applications 6 Bulletin of the Australian Mathematical Society 6 Journal of Approximation Theory 6 SIAM Journal on Numerical Analysis 6 Linear Algebra and its Applications 6 Journal of Dynamics and Differential Equations 6 Integral Transforms and Special Functions 6 Differential Equations 6 Science China. Mathematics 6 Afrika Matematika 5 Communications in Mathematical Physics 5 Applied Mathematics and Optimization 5 Monatshefte für Mathematik 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Communications in Partial Differential Equations 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Communications on Pure and Applied Analysis 5 Mediterranean Journal of Mathematics 5 Kinetic and Related Models 4 Mathematical Notes 4 The Annals of Probability 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Numerische Mathematik 4 Quarterly of Applied Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Numerical Mathematics 4 Mathematical and Computer Modelling 4 SIAM Journal on Mathematical Analysis 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Applied Mathematics 4 Advanced Nonlinear Studies 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. 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
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#### 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)

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