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Author ID: arendt.wolfgang Recent zbMATH articles by "Arendt, Wolfgang"
Published as: Arendt, Wolfgang; Arendt, W.
Homepage: https://www.uni-ulm.de/mawi/iaa/members/professors/arendt.html
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all top 5

Co-Authors

24 single-authored
20 Batty, Charles J. K.
14 ter Elst, Antonius Frederik Maria
8 Bu, Shangquan
7 Chalendar, Isabelle
5 Neubrander, Frank
4 Dier, Dominik
4 Hieber, Matthias
3 Bénilan, Philippe
3 Chill, Ralph
3 Daners, Daniel
3 ElMennaoui, Omar
3 Kennedy, James Bernard
3 Metafune, Giorgio
3 Nagel, Rainer J.
3 Nittka, Robin
3 Pallara, Diego
3 Sourour, Ahmed Ramzi
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 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, Adberrahim
1 Duelli, Markus Michael
1 Eymard, Robert
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 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
1 von Below, Joachim
1 Zamboni, Alessandro
...and 1 more Co-Authors
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
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 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 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 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

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 3,217 times in 2,026 Documents Cited by Year
Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
487
2001
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
286
2011
One-parameter semigroups of positive operators. Zbl 0585.47030
280
1986
Vector-valued Laplace transforms and Cauchy problems. Zbl 0637.44001
Arendt, Wolfgang
200
1987
Tauberian theorems and stability of one-parameter semigroups. Zbl 0652.47022
Arendt, W.; Batty, C. J. K.
180
1988
Resolvent positive operators. Zbl 0617.47029
Arendt, Wolfgang
113
1987
The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008
Arendt, Wolfgang; Bu, Shangquan
88
2002
Semigroups and evolution equations: functional calculus, regularity and kernel estimates. Zbl 1082.35001
Arendt, Wolfgang
81
2004
Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009
Arendt, Wolfgang; Bu, Shangquan
67
2004
Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041
Arendt, W.; ter Elst, A. F. M.
49
1997
The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004
Arendt, Wolfgang; Warma, Mahamadi
47
2003
Sectorial forms and degenerate differential operators. Zbl 1243.47009
Arendt, W.; ter Elst, A. F. M.
46
2012
Spectral properties of Lamperti operators. Zbl 0488.47016
Arendt, Wolfgang
42
1983
\(L^{p}\)-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037
Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César
40
2007
Integrated solutions of Volterra integrodifferential equations and applications. Zbl 0675.45017
Arendt, W.; Kellermann, H.
39
1989
Gaussian estimates and interpolation of the spectrum in \(L^ p\). Zbl 0827.35081
Arendt, Wolfgang
38
1994
Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046
Arendt, Wolfgang; Batty, Charles J. K.
37
1997
On the 0-spektrum of regular operators and the spectrum of measures. Zbl 0468.47022
Arendt, Wolfgang
37
1981
The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036
Arendt, W.; ter Elst, A. F. M.
36
2011
Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005
Arendt, Wolfgang; Batty, Charles; Bu, Shangquan
33
2004
The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M.
33
2014
Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139
Arendt, Wolfgang; Mazzeo, Rafe
32
2012
The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045
Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S.
31
2003
Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. Zbl 0765.45009
Arendt, Wolfgang; Prüss, Jan
28
1992
Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034
Arendt, W.; El-Mennaoui, O.; Keyantuo, V.
28
1994
Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. Zbl 0952.34048
Arendt, Wolfgang; Batty, Charles J. K.
27
1999
Weyl’s law: spectral properties of the Laplacian in mathematics and physics. Zbl 1185.35154
Arendt, Wolfgang; Nittka, Robin; Peter, Wolfgang; Steiner, Frank
25
2009
Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005
Arendt, Wolfgang; Warma, Mahamadi
23
2003
Interpolation of semigroups and integrated semigroups. Zbl 0782.47035
Arendt, Wolfgang; Neubrander, Frank; Schlotterbeck, Ulf
22
1992
Absorption semigroups and Dirichlet boundary conditions. Zbl 0788.47031
Arendt, W.; Batty, C. J. K.
22
1993
Spectral properties of the operator equation \(AX+XB=Y\). Zbl 0826.47013
Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed
21
1994
Vector-valued holomorphic functions revisited. Zbl 0976.46030
Arendt, W.; Nikolski, N.
21
2000
Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106
Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati
19
2014
Perturbation of positive semigroups. Zbl 0687.47031
Arendt, Wolfgang; Rhandi, Abdelaziz
19
1991
From forms to semigroups. Zbl 1272.47003
Arendt, Wolfgang; ter Elst, A. F. M.
19
2012
A generalization of dissipativity and positive semigroups. Zbl 0494.47026
Arendt, Wolfgang; Chernoff, Paul R.; Kato, Tosio
19
1982
Tools for maximal regularity. Zbl 1041.47018
Arendt, Wolfgang; Bu, Shangquan
17
2003
Outgrowths of Hardy’s inequality. Zbl 1113.26017
Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A.
17
2006
Integral representations of resolvents and semigroups. Zbl 0803.47046
Arendt, Wolfgang; Bukhvalov, Alexander V.
16
1994
Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041
Arendt, Wolfgang; Bénilan, Philippe
15
1999
Integrated solutions to implicit differential equations. Zbl 0814.34049
Arendt, W.; Favini, A.
15
1993
Sobolev imbeddings and integrated semigroups. Zbl 0762.47013
Arendt, W.
15
1991
Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions. Zbl 06971428
Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi
14
2018
Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026
Arendt, Wolfgang; Kreuter, Marcel
14
2018
On lattice isomorphisms with positive real spectrum and groups of positive operators. Zbl 0377.47026
Schaefer, Helmut H.; Wolff, Manfred; Arendt, Wolfgang
14
1978
Approximation of degenerate semigroups. Zbl 1025.47023
Arendt, Wolfgang
14
2001
Exponential stability of a diffusion equation with absorption. Zbl 0817.35007
Arendt, Wolfgang; Batty, Charles J. K.
14
1993
Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108
Arendt, W.; Duelli, M.
14
2006
The spectrum of quasi-invertible disjointness preserving operators. Zbl 0611.47030
Arendt, W.; Hart, D. R.
13
1986
Perturbation of regular operators and the order essential spectrum. Zbl 0616.47030
Arendt, W.; Sourour, A. R.
13
1986
Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055
Arendt, Wolfgang; Daners, Daniel
13
2007
Schrödinger operators with unbounded drift. Zbl 1107.35052
Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego
12
2006
Domination and ergodicity for positive semigroups. Zbl 0788.47032
Arendt, W.; Batty, C. J. K.
12
1992
Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011
Arendt, Wolfgang; Daners, Daniel
12
2008
Order isomorphisms of Fourier algebras. Zbl 0506.43001
Arendt, Wolfgang; De Canniere, Jean
11
1983
Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202
Arendt, Wolfgang; Chill, Ralph
10
2010
Maximal regularity for non-autonomous Robin boundary conditions. Zbl 06639277
Arendt, Wolfgang; Monniaux, Sylvie
10
2016
Positive semigroups of kernel operators. Zbl 1151.47047
Arendt, Wolfgang
10
2008
Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001
9
2009
Diffusion with nonlocal boundary conditions. Zbl 1337.47062
Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus
9
2016
Does diffusion determine the body? Zbl 1099.35164
Arendt, W.
8
2002
Boundary values of holomorphic semigroups. Zbl 0869.47025
Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias
8
1997
Equivalent complete norms and positivity. Zbl 1182.46006
Arendt, Wolfgang; Nittka, Robin
8
2009
Kato’s inequality: A characterization of generators of positive semigroups. Zbl 0617.47028
Arendt, Wolfgang
8
1984
J. L. Lions’ problem on maximal regularity. Zbl 1377.35045
Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan
8
2017
Positive semigroups generated by elliptic operators on Lie groups. Zbl 0748.47034
Arendt, Wolfgang; Batty, Charles J. K.; Robinson, Derek W.
7
1990
Local operators and forms. Zbl 1099.47035
Arendt, Wolfgang; Thomaschewski, Sonja
7
2005
Kato’s equality and spectral decompositon for positive \(C_ 0\)-groups. Zbl 0543.47032
Arendt, Wolfgang
7
1982
Factorization by lattice homomorphisms. Zbl 0558.47029
Arendt, Wolfgang
7
1984
Discrete spectrum and almost periodicity. Zbl 0947.34068
Arendt, Wolfgang; Schweiker, Sibylle
7
1999
Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015
Arendt, Wolfgang; Bu, Shangquan
7
2010
The Dirichlet problem by variational methods. Zbl 1167.35011
Arendt, Wolfgang; Daners, Daniel
7
2008
An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376
Arendt, W.; Regińska, T.
7
2009
Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. Zbl 1439.30083
Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S.
7
2020
The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037
Arendt, Wolfgang; Batty, Charles J. K.
6
1997
Diffusion determines the manifold. Zbl 1260.58016
Arendt, W.; Biegert, M.; ter Elst, A. F. M.
6
2012
Resolvent positive operators and inhomogeneous boundary conditions. Zbl 1072.35077
Arendt, Wolfgang
6
2000
Asymptotic stability of Schrödinger semigroups on \(L^ 1(\mathbb{R}^ N)\). Zbl 0761.47019
Arendt, Wolfgang; Batty, Charles J. K.; Bénilan, Philippe
6
1992
The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022
Arendt, W.; ter Elst, A. F. M.
6
2015
Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038
Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego
6
2008
Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768
Arendt, W.; ter Elst, A. F. M.
6
2017
The Dirichlet problem without the maximum principle. (Le problème de Dirichlet sans le principe maximum.) Zbl 1427.35013
Arendt, Wolfgang; ter Elst, A. F. M.
5
2019
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
5
2002
Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Zbl 0842.35087
Arendt, W.; Monniaux, S.
5
1995
A complex Tauberian theorem and mean ergodic semigroups. Zbl 0836.47032
Arendt, Wolfgang; Batty, Charles J. K.
5
1995
Dirichlet regularity and degenerate diffusion. Zbl 1205.35139
Arendt, Wolfgang; Chovanec, Michal
5
2010
Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020
Arendt, Wolfgang; Bu, Shangquan; Haase, Markus
5
2001
Order isomorphisms of Fourier-Stieltjes algebras. Zbl 0495.43003
Arendt, Wolfgang; De Canniere, Jean
5
1983
Ideals of regular operators on \(l^ 2\). Zbl 0524.47027
Arendt, W.; Sourour, A. R.
5
1983
The spectral mapping theorem for one-parameter groups of positive operators on \(C_ 0(X)\). Zbl 0536.47032
Arendt, W.; Greiner, G.
5
1984
Ideale regulärer Operatoren und Kompaktheit positiver Operatoren zwischen Banachverbänden. (Ideals of regular operators and compactness of positive operators on Banach lattices). Zbl 0641.47044
Arendt, Wolfgang; Schwarz, Hans-Ulrich
5
1987
Spectrum and growth of positive semigroups. Zbl 0834.47031
Arendt, Wolfgang
5
1994
Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192
Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta
5
2014
Vector-valued holomorphic and harmonic functions. Zbl 1350.46031
Arendt, Wolfgang
4
2016
Sums of bisectorial operators and applications. Zbl 1088.47002
Arendt, Wolfgang; Bu, Shangquan
4
2005
Principal eigenvalues and perturbation. Zbl 0834.47032
Arendt, Wolfgang; Batty, Charles J. K.
4
1994
Semigroup properties by Gaussian estimates. Zbl 1074.47508
Arendt, W.
4
1997
Different domains induce different heat semigroups on \(C_0(\Omega)\). Zbl 0980.35168
Arendt, W.
4
2001
Diffusion with nonlocal Robin boundary conditions. Zbl 1469.35101
Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus
4
2018
Analytical aspects of isospectral drums. Zbl 1327.58032
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.
4
2014
Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. Zbl 1439.30083
Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S.
7
2020
In Koenigs’ footsteps: diagonalization of composition operators. Zbl 1436.30049
Arendt, W.; Célariès, B.; Chalendar, I.
3
2020
Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions. Zbl 1445.35094
Arendt, Wolfgang; ter Elst, A. F. M.; Glück, Jochen
1
2020
Maximal \(L^2\)-regularity in nonlinear gradient systems and perturbations of sublinear growth. Zbl 1430.35149
Arendt, Wolfgang; Hauer, Daniel
1
2020
The Dirichlet problem without the maximum principle. (Le problème de Dirichlet sans le principe maximum.) Zbl 1427.35013
Arendt, Wolfgang; ter Elst, A. F. M.
5
2019
Generators of semigroups on Banach spaces inducing holomorphic semiflows. Zbl 07015399
Arendt, Wolfgang; Chalendar, Isabelle
1
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
14
2018
Mapping theorems for Sobolev spaces of vector-valued functions. Zbl 1398.46026
Arendt, Wolfgang; Kreuter, Marcel
14
2018
Diffusion with nonlocal Robin boundary conditions. Zbl 1469.35101
Arendt, 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 1410.00005
Arendt, Wolfgang; Urban, Karsten
1
2018
J. L. Lions’ problem on maximal regularity. Zbl 1377.35045
Arendt, Wolfgang; Dier, Dominik; Fackler, Stephan
8
2017
Ultracontractivity and eigenvalues: Weyl’s law for the Dirichlet-to-Neumann operator. Zbl 06763768
Arendt, W.; ter Elst, A. F. M.
6
2017
Diffusion determines the compact manifold. Zbl 1382.58026
Arendt, W.; Ter Elst, A. F. M.
2
2017
Maximal regularity for non-autonomous Robin boundary conditions. Zbl 06639277
Arendt, Wolfgang; Monniaux, Sylvie
10
2016
Diffusion with nonlocal boundary conditions. Zbl 1337.47062
Arendt, Wolfgang; Kunkel, Stefan; Kunze, Markus
9
2016
Vector-valued holomorphic and harmonic functions. Zbl 1350.46031
Arendt, Wolfgang
4
2016
The Dirichlet-to-Neumann operator on exterior domains. Zbl 1331.46022
Arendt, W.; ter Elst, A. F. M.
6
2015
Countable spectrum, transfinite induction and stability. Zbl 1338.47044
Arendt, Wolfgang
1
2015
The Dirichlet-to-Neumann operator via hidden compactness. Zbl 1314.47062
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B.; Sauter, M.
33
2014
Maximal regularity for evolution equations governed by non-autonomous forms. Zbl 1319.35106
Arendt, Wolfgang; Dier, Dominik; Laasri, Hafida; Ouhabaz, El Maati
19
2014
Diffusion in networks with time-dependent transmission conditions. Zbl 1301.35192
Arendt, Wolfgang; Dier, Dominik; Kramar Fijavž, Marjeta
5
2014
Analytical aspects of isospectral drums. Zbl 1327.58032
Arendt, 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 1327.35134
Arendt, Wolfgang; Schätzle, Reiner
4
2014
Invariance of convex sets for non-autonomous evolution equations governed by forms. Zbl 1295.35285
Arendt, Wolfgang; Ouhabaz, El Maati
3
2014
Sectorial forms and degenerate differential operators. Zbl 1243.47009
Arendt, W.; ter Elst, A. F. M.
46
2012
Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139
Arendt, Wolfgang; Mazzeo, Rafe
32
2012
From forms to semigroups. Zbl 1272.47003
Arendt, Wolfgang; ter Elst, A. F. M.
19
2012
Diffusion determines the manifold. Zbl 1260.58016
Arendt, W.; Biegert, M.; ter Elst, A. F. M.
6
2012
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
286
2011
The Dirichlet-to-Neumann operator on rough domains. Zbl 1241.47036
Arendt, W.; ter Elst, A. F. M.
36
2011
Global existence for quasilinear diffusion equations in isotropic nondivergence form. Zbl 1223.35202
Arendt, Wolfgang; Chill, Ralph
10
2010
Fourier series in Banach spaces and maximal regularity. Zbl 1254.42015
Arendt, Wolfgang; Bu, Shangquan
7
2010
Dirichlet regularity and degenerate diffusion. Zbl 1205.35139
Arendt, Wolfgang; Chovanec, Michal
5
2010
Partial differential equations. An introduction to analytic and numerical methods. (Partielle Differenzialgleichungen. Eine Einführung in analytische und numerische Methoden.) Zbl 1198.00001
Arendt, Wolfgang; Urban, Karsten
2
2010
Decomposing and twisting bisectorial operators. Zbl 1194.47046
Arendt, Wolfgang; Zamboni, Alessandro
2
2010
Weyl’s law: spectral properties of the Laplacian in mathematics and physics. Zbl 1185.35154
Arendt, Wolfgang; Nittka, Robin; Peter, Wolfgang; Steiner, Frank
25
2009
Mathematical analysis of evolution, information, and complexity. Zbl 1159.94001
9
2009
Equivalent complete norms and positivity. Zbl 1182.46006
Arendt, Wolfgang; Nittka, Robin
8
2009
An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains. Zbl 1178.35376
Arendt, W.; Regińska, T.
7
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
3
2009
Linear evolution operators on spaces of periodic functions. Zbl 1169.47034
Arendt, Wolfgang; Rabier, Patrick J.
1
2009
Varying domains: Stability of the Dirichlet and the Poisson problem. Zbl 1155.35011
Arendt, Wolfgang; Daners, Daniel
12
2008
Positive semigroups of kernel operators. Zbl 1151.47047
Arendt, Wolfgang
10
2008
The Dirichlet problem by variational methods. Zbl 1167.35011
Arendt, Wolfgang; Daners, Daniel
7
2008
Gaussian estimates for elliptic operators with unbounded drift. Zbl 1138.47038
Arendt, 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 1126.34037
Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César
40
2007
Uniform convergence for elliptic problems on varying domains. Zbl 1124.47055
Arendt, Wolfgang; Daners, Daniel
13
2007
Forms, functional calculus, cosine functions and perturbation. Zbl 1128.47021
Arendt, Wolfgang; Batty, Charles J. K.
2
2007
Outgrowths of Hardy’s inequality. Zbl 1113.26017
Arendt, Wolfgang; Goldstein, Gisèle Ruiz; Goldstein, Jerome A.
17
2006
Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line. Zbl 1113.35108
Arendt, W.; Duelli, M.
14
2006
Schrödinger operators with unbounded drift. Zbl 1107.35052
Arendt, Wolfgang; Metafune, Giorgio; Pallara, Diego
12
2006
Hölder’s inequality for perturbations of positive semigroups by potentials. Zbl 1084.47034
Arendt, Wolfgang; Demuth, Michael
3
2006
Rank-1 perturbations of cosine functions and semigroups. Zbl 1104.47046
Arendt, Wolfgang; Batty, Charles J. K.
3
2006
Local operators and forms. Zbl 1099.47035
Arendt, Wolfgang; Thomaschewski, Sonja
7
2005
Sums of bisectorial operators and applications. Zbl 1088.47002
Arendt, Wolfgang; Bu, Shangquan
4
2005
Semigroups and evolution equations: functional calculus, regularity and kernel estimates. Zbl 1082.35001
Arendt, Wolfgang
81
2004
Operator-valued Fourier multipliers on periodic Besov spaces and applications. Zbl 1083.42009
Arendt, Wolfgang; Bu, Shangquan
67
2004
Fourier multipliers for Hölder continuous functions and maximal regularity. Zbl 1073.42005
Arendt, Wolfgang; Batty, Charles; Bu, Shangquan
33
2004
Operator-valued multiplier theorems characterizing Hilbert spaces. Zbl 1078.42003
Arendt, 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 1028.31004
Arendt, Wolfgang; Warma, Mahamadi
47
2003
The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. Zbl 1073.47045
Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S.
31
2003
Dirichlet and Neumann boundary conditions: what is in between? Zbl 1044.31005
Arendt, Wolfgang; Warma, Mahamadi
23
2003
Tools for maximal regularity. Zbl 1041.47018
Arendt, Wolfgang; Bu, Shangquan
17
2003
The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Zbl 1018.47008
Arendt, Wolfgang; Bu, Shangquan
88
2002
Does diffusion determine the body? Zbl 1099.35164
Arendt, W.
8
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
5
2002
Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
487
2001
Approximation of degenerate semigroups. Zbl 1025.47023
Arendt, Wolfgang
14
2001
Functional calculus, variational methods and Liapunov’s theorem. Zbl 1002.47020
Arendt, Wolfgang; Bu, Shangquan; Haase, Markus
5
2001
Different domains induce different heat semigroups on \(C_0(\Omega)\). Zbl 0980.35168
Arendt, W.
4
2001
Introduction to the special issue [Tosio Kato (1917-1999) (with list of publications)]. Zbl 1036.01504
Arendt, Wolfgang; Goldstein, Jerome A.; Nagel, Rainer
1
2001
Vector-valued holomorphic functions revisited. Zbl 0976.46030
Arendt, W.; Nikolski, N.
21
2000
Resolvent positive operators and inhomogeneous boundary conditions. Zbl 1072.35077
Arendt, Wolfgang
6
2000
Slowly oscillating solutions of Cauchy problems with countable spectrum. Zbl 1006.34049
Arendt, W.; Batty, C. J. K.
2
2000
Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line. Zbl 0952.34048
Arendt, Wolfgang; Batty, Charles J. K.
27
1999
Wiener regularity and heat semigroups on spaces of continuous functions. Zbl 0920.35041
Arendt, Wolfgang; Bénilan, Philippe
15
1999
Discrete spectrum and almost periodicity. Zbl 0947.34068
Arendt, Wolfgang; Schweiker, Sibylle
7
1999
On the infinite product of \(C_0\)-semigroups. Zbl 0928.47026
Arendt, W.; Driouich, A.; El-Mennaoui, O.
1
1998
Gaussian estimates for second order elliptic operators with boundary conditions. Zbl 0879.35041
Arendt, W.; ter Elst, A. F. M.
49
1997
Almost periodic solutions of first- and second-order Cauchy problems. Zbl 0879.34046
Arendt, Wolfgang; Batty, Charles J. K.
37
1997
Boundary values of holomorphic semigroups. Zbl 0869.47025
Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias
8
1997
The spectral function and principal eigenvalues for Schrödinger operators. Zbl 0898.47037
Arendt, Wolfgang; Batty, Charles J. K.
6
1997
Semigroup properties by Gaussian estimates. Zbl 1074.47508
Arendt, W.
4
1997
The spectral bound of Schrödinger operators. Zbl 0874.35079
Arendt, Wolfgang; Batty, Charles J. K.
2
1996
Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Zbl 0842.35087
Arendt, W.; Monniaux, S.
5
1995
A complex Tauberian theorem and mean ergodic semigroups. Zbl 0836.47032
Arendt, Wolfgang; Batty, Charles J. K.
5
1995
Gaussian estimates and interpolation of the spectrum in \(L^ p\). Zbl 0827.35081
Arendt, Wolfgang
38
1994
Local integrated semigroups: Evolution with jumps of regularity. Zbl 0833.47034
Arendt, W.; El-Mennaoui, O.; Keyantuo, V.
28
1994
Spectral properties of the operator equation \(AX+XB=Y\). Zbl 0826.47013
Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed
21
1994
Integral representations of resolvents and semigroups. Zbl 0803.47046
Arendt, Wolfgang; Bukhvalov, Alexander V.
16
1994
Spectrum and growth of positive semigroups. Zbl 0834.47031
Arendt, Wolfgang
5
1994
Principal eigenvalues and perturbation. Zbl 0834.47032
Arendt, Wolfgang; Batty, Charles J. K.
4
1994
Absorption semigroups and Dirichlet boundary conditions. Zbl 0788.47031
Arendt, W.; Batty, C. J. K.
22
1993
Integrated solutions to implicit differential equations. Zbl 0814.34049
Arendt, W.; Favini, A.
15
1993
Exponential stability of a diffusion equation with absorption. Zbl 0817.35007
Arendt, Wolfgang; Batty, Charles J. K.
14
1993
Vector-valued versions of some representation theorems in real analysis. Zbl 0804.47036
Arendt, W.
3
1993
Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. Zbl 0765.45009
Arendt, Wolfgang; Prüss, Jan
28
1992
Interpolation of semigroups and integrated semigroups. Zbl 0782.47035
Arendt, Wolfgang; Neubrander, Frank; Schlotterbeck, Ulf
22
1992
...and 30 more Documents
all top 5

Cited by 1,854 Authors

53 Arendt, Wolfgang
52 Lizama, Carlos
46 Kostić, Marko
34 Bu, Shangquan
29 ter Elst, Antonius Frederik Maria
28 Batty, Charles J. K.
26 Miana, Pedro J.
24 Hieber, Matthias
23 Ezzinbi, Khalil
23 Mugnolo, Delio
23 Warma, Mahamadi
22 Nguyen Van Minh
21 Ouhabaz, El Maati
20 Cai, Gang
20 Daners, Daniel
20 Nicaise, Serge
18 Keyantuo, Valentin
18 Magal, Pierre
17 Bobrowski, Adam
17 Chill, Ralph
17 Gesztesy, Fritz
17 Glück, Jochen
16 Cuevas, Claudio
16 Henríquez, Hernán R.
16 Pilipović, Stevan
16 Tomilov, Yuri
15 Metafune, Giorgio
14 Banasiak, Jacek
14 Voigt, Jurgen
14 Wehbe, Ali
13 Benchohra, Mouffak
13 Li, Miao
13 Meerschaert, Mark Marvin
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
12 Ponce, Rodrigo F.
11 Abadias, Luciano
11 Gupur, Geni
11 Kovács, Mihály
11 Melnikova, Irina V.
11 Veraar, Mark C.
10 Biegert, Markus
10 deLaubenfels, Ralph J.
10 Fackler, Stephan
10 Nittka, Robin
10 O’Regan, Donal
10 Räbiger, Frank
10 Shaw, Sen-Yen
10 Velinov, Daniel
9 Basit, Bolis
9 Bäumer, Boris
9 Behrndt, Jussi
9 Benaissa, Abbes
9 Galé, José E.
9 Kennedy, James Bernard
9 Li, Buyang
9 Mokhtar-Kharroubi, Mustapha
9 Poblete, Verónica
9 Schnaubelt, Roland
9 Xiao, Ti-Jun
9 Zheng, Quan
8 Adimy, Mostafa
8 Chalendar, Isabelle
8 Dell’Oro, Filippo
8 Ducrot, Arnaud
8 Engel, Klaus-Jochen
8 Fan, Zhenbin
8 Gomilko, Alexandre M.
8 Haase, Markus
8 Hauer, Daniel
8 Kunze, Markus Christian
8 Liang, Jin
8 Nagel, Rainer J.
8 Naito, Toshiki
8 Neubrander, Frank
8 N’Guérékata, Gaston Mandata
8 Ntouyas, Sotiris K.
8 Peng, Jigen
8 Prüß, Jan Wilhelm
8 Shakhmurov, Veli B.
8 Tcheugoué Tébou, Louis Roder
8 Vogt, Hendrik
7 Agarwal, Ravi P.
7 Chen, Chuang
7 Favini, Angelo
7 Gerlach, Moritz
7 Huijsmans, Charles Boudewijn
7 Lasiecka, Irena
7 Monniaux, Sylvie
7 Mouton, Sonja
7 Nane, Erkan
7 Pallara, Diego
7 Pata, Vittorino
7 Piskarëv, S. I.
7 Rhandi, Abdelaziz
...and 1,754 more Authors
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Cited in 339 Serials

151 Journal of Mathematical Analysis and Applications
107 Journal of Differential Equations
99 Journal of Evolution Equations
87 Semigroup Forum
82 Journal of Functional Analysis
57 Proceedings of the American Mathematical Society
37 Positivity
36 Integral Equations and Operator Theory
31 Archiv der Mathematik
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
27 Mathematische Nachrichten
26 Mathematische Zeitschrift
24 Transactions of the American Mathematical Society
21 Mathematische Annalen
19 Abstract and Applied Analysis
18 Acta Applicandae Mathematicae
18 Indagationes Mathematicae. New Series
18 Journal of Mathematical Sciences (New York)
17 Applicable Analysis
17 Acta Mathematica Sinica. English Series
17 Complex Analysis and Operator Theory
16 Israel Journal of Mathematics
16 Annali di Matematica Pura ed Applicata. Serie Quarta
15 Fractional Calculus & Applied Analysis
15 Advances in Difference Equations
14 Systems & Control Letters
13 Mathematical Methods in the Applied Sciences
13 Studia Mathematica
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Calculus of Variations and Partial Differential Equations
12 Advances in Mathematics
12 Potential Analysis
11 Archive for Rational Mechanics and Analysis
11 The Journal of Fourier Analysis and Applications
11 Banach Journal of Mathematical Analysis
11 Evolution Equations and Control Theory
10 Computers & Mathematics with Applications
10 Results in Mathematics
10 Discrete and Continuous Dynamical Systems. Series S
10 Mathematical Control and Related Fields
9 Journal of Computational and Applied Mathematics
9 Numerical Functional Analysis and Optimization
9 Quaestiones Mathematicae
9 SIAM Journal on Control and Optimization
9 Siberian Mathematical Journal
9 MCSS. Mathematics of Control, Signals, and Systems
9 Journal of Integral Equations and Applications
9 Journal of Difference Equations and Applications
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Journal of Pseudo-Differential Operators and Applications
9 Journal of Spectral Theory
8 Journal d’Analyse Mathématique
8 Journal of Mathematical Physics
8 Transport Theory and Statistical Physics
8 Applied Mathematics and Computation
8 Applied Mathematics and Optimization
8 Zeitschrift für Analysis und ihre Anwendungen
8 Applied Mathematics Letters
8 Discrete and Continuous Dynamical Systems
8 Journal of the Australian Mathematical Society
8 Communications on Pure and Applied Analysis
8 Mediterranean Journal of Mathematics
7 Bulletin of the Australian Mathematical Society
7 Rocky Mountain Journal of Mathematics
7 Czechoslovak Mathematical Journal
7 SIAM Journal on Numerical Analysis
7 Communications in Partial Differential Equations
7 Stochastic Processes and their Applications
7 Differential Equations
7 Nonlinear Analysis. Theory, Methods & Applications
6 Communications in Mathematical Physics
6 Journal of Approximation Theory
6 Monatshefte für Mathematik
6 Linear Algebra and its Applications
6 SIAM Journal on Mathematical Analysis
6 Journal of Dynamics and Differential Equations
6 Integral Transforms and Special Functions
6 Discrete and Continuous Dynamical Systems. Series B
6 Kinetic and Related Models
6 Science China. Mathematics
6 Afrika Matematika
6 Journal of Applied Analysis and Computation
6
5 Chaos, Solitons and Fractals
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Journal of Scientific Computing
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 NoDEA. Nonlinear Differential Equations and Applications
5 Vietnam Journal of Mathematics
5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 S\(\vec{\text{e}}\)MA Journal
4 Journal of Statistical Physics
4 Mathematical Notes
4 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
4 The Annals of Probability
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Indiana University Mathematics Journal
4 Numerische Mathematik
...and 239 more Serials
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Cited in 55 Fields

1,116 Operator theory (47-XX)
859 Partial differential equations (35-XX)
423 Ordinary differential equations (34-XX)
295 Functional analysis (46-XX)
145 Systems theory; control (93-XX)
134 Probability theory and stochastic processes (60-XX)
104 Integral equations (45-XX)
90 Real functions (26-XX)
86 Numerical analysis (65-XX)
77 Harmonic analysis on Euclidean spaces (42-XX)
63 Mechanics of deformable solids (74-XX)
61 Biology and other natural sciences (92-XX)
59 Abstract harmonic analysis (43-XX)
57 Fluid mechanics (76-XX)
51 Dynamical systems and ergodic theory (37-XX)
46 Integral transforms, operational calculus (44-XX)
45 Global analysis, analysis on manifolds (58-XX)
36 Difference and functional equations (39-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
29 Functions of a complex variable (30-XX)
29 Statistical mechanics, structure of matter (82-XX)
27 Quantum theory (81-XX)
24 Potential theory (31-XX)
20 Operations research, mathematical programming (90-XX)
17 Sequences, series, summability (40-XX)
15 Several complex variables and analytic spaces (32-XX)
14 Measure and integration (28-XX)
13 Topological groups, Lie groups (22-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
11 Special functions (33-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)
7 Computer science (68-XX)
6 Combinatorics (05-XX)
6 Statistics (62-XX)
6 Optics, electromagnetic theory (78-XX)
5 Differential geometry (53-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Information and communication theory, circuits (94-XX)
4 Mathematical logic and foundations (03-XX)
4 Group theory and generalizations (20-XX)
4 Mechanics of particles and systems (70-XX)
4 Geophysics (86-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 Manifolds and cell complexes (57-XX)
1 Algebraic geometry (14-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

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