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## Amann, Herbert

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 Author ID: amann.herbert Published as: Amann, H.; Amann, Herbert Homepage: https://www.math.uzh.ch/amann/ External Links: MGP · Math-Net.Ru · ORCID · GND
 Documents Indexed: 152 Publications since 1967, including 23 Books Biographic References: 3 Publications
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#### Co-Authors

 112 single-authored 11 Escher, Joachim 5 Quittner, Pavol 3 Zehnder, Eduard J. 2 Bandle, Catherine 2 Chipot, Michel 2 Conrad, Francis 2 Giga, Yoshikazu 2 Hieber, Matthias 2 Kozono, Hideo 2 Mancini, Giovanni 2 Okamoto, Hisashi 2 Shafrir, Itai 1 Ambrosetti, Antonio 1 Arendt, Wolfgang 1 Bazley, Norman W. 1 Crandall, Michael G. 1 Diaz Diaz, Jesus Ildefonso 1 Fila, Marek 1 Galdi, Giovanni Paolo 1 Helfrich, Hans-Peter 1 Hess, Peter O. 1 Kirchgässner, Klaus 1 Laetsch, Theodore 1 López-Gómez, Julián 1 Neubrander, Frank 1 Nicaise, Serge 1 Pileckas, Konstantin 1 Renardy, Michael 1 Scholz, Reinhard 1 Simonett, Gieri 1 Solonnikov, Vsevolod Alekseevich 1 von Below, Joachim 1 Walker, Christoph 1 Weber, Frank M. 1 Weiss, Stanley A. 1 Yamazaki, Masao 1 Yamazaki, Masaso
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#### Serials

 8 Mathematische Zeitschrift 7 Archive for Rational Mechanics and Analysis 7 Grundstudium Mathematik 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Indiana University Mathematics Journal 4 Journal of Differential Equations 4 Journal of Functional Analysis 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Advances in Differential Equations 3 Journal of Evolution Equations 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Differential and Integral Equations 2 Acta Mathematica Universitatis Comenianae. New Series 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Review 2 Journal of Mathematical Sciences (New York) 2 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 2 Monographs in Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentationes Mathematicae Universitatis Carolinae 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 SIAM Journal on Control and Optimization 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Delft Progress Report 1 Japan Journal of Industrial and Applied Mathematics 1 Aequationes Mathematicae 1 Elemente der Mathematik 1 Glasnik Matematički. Serija III 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Advances in Mathematical Sciences and Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Functional Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 Nonlinear Boundary Value Problems 1 Journal of Nonlinear Mathematical Physics 1 Advanced Nonlinear Studies 1 Journal of Mathematics and Mechanics 1 De Gruyter Studies in Mathematics 1 Jindřich Nečas Center for Mathematical Modeling Lecture Notes 1 Abhandlungen der Akademie der Wissenschaften der DDR 1 Journal of Elliptic and Parabolic Equations 1 Advances in Mathematical Fluid Mechanics
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#### Fields

 99 Partial differential equations (35-XX) 54 Operator theory (47-XX) 17 Ordinary differential equations (34-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Functional analysis (46-XX) 11 General and overarching topics; collections (00-XX) 11 Fluid mechanics (76-XX) 10 Real functions (26-XX) 5 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Integral equations (45-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 3 Algebraic topology (55-XX) 3 Mechanics of particles and systems (70-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

124 Publications have been cited 5,293 times in 3,906 Documents Cited by Year
Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0345.47044
Amann, Herbert
1976
Linear and quasilinear parabolic problems. Vol. 1: Abstract linear theory. Zbl 0819.35001
Amann, Herbert
1995
Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. Zbl 0810.35037
Amann, Herbert
1993
Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems. Zbl 0729.35062
Amann, Herbert
1990
Dynamic theory of quasilinear parabolic systems. III: Global existence. Zbl 0702.35125
Amann, Herbert
1989
Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations. Zbl 0452.47077
Amann, Herbert; Zehnder, E.
1980
Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen. Zbl 0708.34002
Amann, Herbert
1990
Parabolic evolution equations and nonlinear boundary conditions. Zbl 0658.34011
Amann, Herbert
1988
A priori bounds and multiple solutions for superlinear indefinite elliptic problems. Zbl 0909.35044
Amann, H.; López-Gómez, J.
1998
On the existence of positive solutions of nonlinear elliptic boundary value problems. Zbl 0219.35037
Amann, Herbert
1971
On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030
Amann, Herbert; Crandall, Michael G.
1978
On the number of solutions of nonlinear equations in ordered Banach spaces. Zbl 0244.47046
Amann, Herbert
1972
Saddle points and multiple solutions of differential equations. Zbl 0414.47042
Amann, Herbert
1979
On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107
Amann, Herbert
2000
Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications. Zbl 0880.42007
Amann, Herbert
1997
Dual semigroups and second order linear elliptic boundary value problems. Zbl 0535.35017
Amann, Herbert
1983
Periodic solutions of asymptotically linear Hamiltonian systems. Zbl 0443.70019
Amann, Herbert; Zehnder, Eduard
1980
Invariant sets and existence theorems for semilinear parabolic and elliptic systems. Zbl 0387.35038
Amann, Herbert
1978
Compact embeddings of vector-valued Sobolev and Besov spaces. Zbl 0997.46029
Amann, Herbert
2000
Global existence for semilinear parabolic systems. Zbl 0564.35060
Amann, Herbert
1985
Dynamic theory of quasilinear parabolic equations: Abstract evolution equations. Zbl 0666.35043
Amann, Herbert
1988
Quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0596.35061
Amann, Herbert
1986
A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029
Amann, Herbert; Hess, Peter
1979
Periodic solutions of semilinear parabolic equations. Zbl 0464.35050
Amann, Herbert
1978
Existence and regularity for semilinear parabolic evolution equations. Zbl 0625.35045
Amann, Herbert
1984
Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032
Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni
1978
A note on degree theory for gradient mappings. Zbl 0501.58012
Amann, Herbert
1982
Existence and multiplicity theorems for semi-linear elliptic boundary value problems. Zbl 0331.35026
Amann, Herbert
1976
Quasilinear evolution equations and parabolic systems. Zbl 0635.47056
Amann, Herbert
1986
Maximal regularity for nonautonomous evolution equations. Zbl 1072.35103
Amann, H.
2004
Multiple positive fixed points of asymptotically linear maps. Zbl 0287.47037
Amann, Herbert
1974
Multiple solutions for nonlinear elliptic boundary value problems. Zbl 0222.35023
Amann, Herbert
1972
On the existence of positive solutions of nonlinear elliptic boundary value problems. Zbl 0209.13002
Amann, Herbert
1971
Bounded $$H_ \infty$$-calculus for elliptic operators. Zbl 0799.35060
Amann, Herbert; Hieber, Matthias; Simonett, Gieri
1994
Supersolutions, monotone iterations, and stability. Zbl 0319.35039
Amann, Herbert
1976
On abstract parabolic fundamental solutions. Zbl 0616.47032
Amann, Herbert
1987
Ljusternik-Schnirelman theory and non-linear eigenvalue problems. Zbl 0233.47049
Amann, Herbert
1972
Anisotropic function spaces and maximal regularity for parabolic problems. Part 1: Function spaces. Zbl 1216.35001
Amann, Herbert
2009
Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059
Amann, Herbert
2005
Function spaces on singular manifolds. Zbl 1280.46022
Amann, H.
2013
Maximum principles and principal eigenvalues. Zbl 1090.35090
Amann, H.
2005
Nonhomogeneous Navier–Stokes equations with integrable low-regularity data. Zbl 1201.76038
Amann, Herbert
2002
A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053
Amann, H.; Fila, M.
1997
Multiple periodic solutions for a class of nonlinear autonomous wave equations. Zbl 0481.35061
Amann, Herbert; Zehnder, E.
1981
Fixed points of asymptotically linear maps in ordered Banach spaces. Zbl 0263.47043
Amann, Herbert
1973
Nonlinear elliptic equations with nonlinear boundary conditions. Zbl 0345.35045
Amann, Herbert
1976
On the uniqueness of the topological degree. Zbl 0249.55004
Amann, Herbert; Weiss, Stanley A.
1973
Ordinary differential equations. 2., überarb. Aufl. Zbl 0823.34001
Amann, Herbert
1995
Ein Existenz- und Eindeutigkeitssatz für die Hammersteinsche Gleichung in Banachräumen. Zbl 0176.45604
Amann, Herbert
1969
Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094
Amann, H.; Quittner, P.
2004
Coagulation-fragmentation processes. Zbl 0977.35060
Amann, Herbert
2000
Parabolic evolution equations in interpolation and extrapolation spaces. Zbl 0654.47019
Amann, Herbert
1988
Nonlinear eigenvalue problems having precisely two solutions. Zbl 0329.35027
Amann, Herbert
1976
Time-delayed Perona-Malik type problems. Zbl 1132.68067
Amann, Herbert
2007
Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205
Amann, Herbert
2003
Strongly continuous dual semigroups. Zbl 0892.47038
Amann, Herbert; Escher, Joachim
1996
Semigroups and nonlinear evolution equations. Zbl 0624.35047
Amann, Herbert
1986
On the unique solvability of semi-linear operator equations in Hilbert spaces. Zbl 0501.47024
Amann, Herbert
1982
Multiplication in Sobolev and Besov spaces. Zbl 0894.46026
Amann, Herbert
1991
Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations. Zbl 0406.35038
Amann, Herbert
1978
Existence theorems for equations of Hammerstein type. Zbl 0244.47047
Amann, Herbert
1973
Some applications of monotone operator theory to resonance problems. Zbl 0418.47028
Amann, Herbert; Mancini, Giovanni
1979
On the number of solutions of asymptotically superlinear two point boundary value problems. Zbl 0294.34008
Amann, Herbert
1974
Uniformly regular and singular Riemannian manifolds. Zbl 1345.58004
Amann, Herbert
2015
Linear parabolic problems involving measures. Zbl 1018.35049
Amann, H.
2001
Elliptic operators with infinite-dimensional state spaces. Zbl 1018.35023
Amann, Herbert
2001
Positive solutions of convex nonlinear eigenvalue problems. Zbl 0329.35028
Amann, Herbert; Laetsch, Theodore
1976
Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Zbl 1082.35083
Amann, Herbert; Walker, Christoph
2005
Parabolic evolution equations with nonlinear boundary conditions. Zbl 0611.35043
Amann, Herbert
1986
Nonautonomous parabolic equations involving measures. Zbl 1159.35386
Amann, H.
2005
Stability of the rest state of a viscous incompressible fluid. Zbl 0820.76033
Amann, Herbert
1994
Hopf bifurcation in quasilinear reaction-diffusion systems. Zbl 0780.35051
Amann, Herbert
1991
Über die Existenz und iterative Berechnung einer Lösung der Hammersteinschen Gleichung. Zbl 0165.13701
Amann, Herbert
1968
Analysis II. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1146.26001
Amann, Herbert; Escher, Joachim
2008
Highly degenerate quasilinear parabolic systems. Zbl 0738.35029
Amann, Herbert
1991
Zum Galerkin-Verfahren für die Hammersteinsche Gleichung. Zbl 0186.20902
Amann, Herbert
1969
Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems. Zbl 1411.58010
Amann, Herbert
2016
Maximal regularity and quasilinear parabolic boundary value problems. Zbl 1144.35034
Amann, Herbert
2005
Nonlinear operators in ordered Banach spaces and some applications to nonlinear boundary value problems. Zbl 0345.47045
Amann, Herbert
1976
Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071
Amann, Herbert; Quittner, Pavol
1998
Errata: Fixed point theorems and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0375.47026
Amann, Herbert
1977
Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004
Amann, Herbert
2019
Abstract methods in differential equations. Zbl 1064.35096
Amann, H.
2003
A note on the dynamics of an oscillator in the presence of strong friction. Zbl 1035.34023
Amann, H.; Diaz, J. I.
2003
Erratum: “Dynamic theory of quasilinear parabolic systems. III: Global existence”. Zbl 0719.35044
Amann, Herbert
1990
Analysis III. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1187.28001
Amann, Herbert; Escher, Joachim
2009
Quasilinear parabolic functional evolution equations. Zbl 1144.35426
Amann, Herbert
2006
Analysis II. 2nd corrected ed. Zbl 1097.26001
Amann, Herbert; Escher, Joachim
2006
Reaction-diffusion problems in electrolysis. Zbl 0831.35153
Amann, Herbert; Renardy, Michael
1994
A uniqueness theorem for nonlinear elliptic boundary value problems. Zbl 0225.35041
Amann, Herbert
1972
Über die Konvergenzgeschwindigkeit des GalerkinVerfahrens für die Hammersteinsche Gleichung. Zbl 0242.49029
Amann, Herbert
1970
Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds. Zbl 1366.35072
Amann, Herbert
2017
Non-local quasi-linear parabolic equations. Zbl 1160.35300
Amann, H.
2005
Analysis I. Transl. from the German by Gary Brookfield. Zbl 1097.26002
Amann, Herbert; Escher, Joachim
2005
Global existence for a class of highly degenerate parabolic systems. Zbl 0735.35080
Amann, Herbert
1991
Feedback stabilization of linear and semilinear parabolic systems. Zbl 0686.35058
Amann, Herbert
1989
Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005
Amann, H.; Quittner, P.
2006
Analysis I. 3rd ed. Zbl 1102.26001
Amann, Herbert; Escher, Joachim
2006
Analysis III. Zbl 0995.26001
Amann, Herbert; Escher, Joachim
2001
On a quasilinear coagulation-fragmentation model with diffusion. Zbl 0984.76092
Amann, Herbert; Weber, Frank
2001
Linear parabolic equations with strong boundary degeneration. Zbl 1443.35083
Amann, Herbert
2020
Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004
Amann, Herbert
2019
Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds. Zbl 1366.35072
Amann, Herbert
2017
Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems. Zbl 1411.58010
Amann, Herbert
2016
The work of Yoshihiro Shibata. Zbl 1337.01007
Amann, Herbert; Giga, Yoshikazu; Okamoto, Hisashi; Kozono, Hideo; Yamazaki, Masaso
2016
Uniformly regular and singular Riemannian manifolds. Zbl 1345.58004
Amann, Herbert
2015
Function spaces on singular manifolds. Zbl 1280.46022
Amann, H.
2013
Anisotropic function spaces and maximal regularity for parabolic problems. Part 1: Function spaces. Zbl 1216.35001
Amann, Herbert
2009
Analysis III. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1187.28001
Amann, Herbert; Escher, Joachim
2009
Analysis II. Transl. from the German by Silvio Levy and Matthew Cargo. Zbl 1146.26001
Amann, Herbert; Escher, Joachim
2008
Analysis III. 2nd ed. Zbl 1210.26001
Amann, Herbert; Escher, Joachim
2008
Time-delayed Perona-Malik type problems. Zbl 1132.68067
Amann, Herbert
2007
Quasilinear parabolic functional evolution equations. Zbl 1144.35426
Amann, Herbert
2006
Analysis II. 2nd corrected ed. Zbl 1097.26001
Amann, Herbert; Escher, Joachim
2006
Optimal control problems governed by semilinear parabolic equations with low regularity data. Zbl 1106.49005
Amann, H.; Quittner, P.
2006
Analysis I. 3rd ed. Zbl 1102.26001
Amann, Herbert; Escher, Joachim
2006
Quasilinear parabolic problems via maximal regularity. Zbl 1103.35059
Amann, Herbert
2005
Maximum principles and principal eigenvalues. Zbl 1090.35090
Amann, H.
2005
Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Zbl 1082.35083
Amann, Herbert; Walker, Christoph
2005
Nonautonomous parabolic equations involving measures. Zbl 1159.35386
Amann, H.
2005
Maximal regularity and quasilinear parabolic boundary value problems. Zbl 1144.35034
Amann, Herbert
2005
Non-local quasi-linear parabolic equations. Zbl 1160.35300
Amann, H.
2005
Analysis I. Transl. from the German by Gary Brookfield. Zbl 1097.26002
Amann, Herbert; Escher, Joachim
2005
Optimal control problems with final observation governed by explosive paarabolic equations. Zbl 1110.49004
Amann, H.; Quittner, P.
2005
Maximal regularity for nonautonomous evolution equations. Zbl 1072.35103
Amann, H.
2004
Semilinear parabolic equations involving measures and low regularity data. Zbl 1072.35094
Amann, H.; Quittner, P.
2004
Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205
Amann, Herbert
2003
Abstract methods in differential equations. Zbl 1064.35096
Amann, H.
2003
A note on the dynamics of an oscillator in the presence of strong friction. Zbl 1035.34023
Amann, H.; Diaz, J. I.
2003
Linear parabolic equations with singular potentials. Zbl 1036.35066
Amann, Herbert
2003
Nonhomogeneous Navier–Stokes equations with integrable low-regularity data. Zbl 1201.76038
Amann, Herbert
2002
Nonhomogeneous Navier-Stokes equations in spaces of low regularity. Zbl 1330.35286
Amann, Herbert
2002
Linear parabolic problems involving measures. Zbl 1018.35049
Amann, H.
2001
Elliptic operators with infinite-dimensional state spaces. Zbl 1018.35023
Amann, Herbert
2001
Analysis III. Zbl 0995.26001
Amann, Herbert; Escher, Joachim
2001
On a quasilinear coagulation-fragmentation model with diffusion. Zbl 0984.76092
Amann, Herbert; Weber, Frank
2001
Remarks on the strong solvability of the Navier-Stokes equations. Zbl 1060.35102
Amann, H.
2001
On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107
Amann, Herbert
2000
Compact embeddings of vector-valued Sobolev and Besov spaces. Zbl 0997.46029
Amann, Herbert
2000
Coagulation-fragmentation processes. Zbl 0977.35060
Amann, Herbert
2000
Analysis II. Zbl 0940.26001
Amann, Herbert; Escher, Joachim
1999
A priori bounds and multiple solutions for superlinear indefinite elliptic problems. Zbl 0909.35044
Amann, H.; López-Gómez, J.
1998
Elliptic boundary value problems involving measures: Existence, regularity, and multiplicity. Zbl 0954.35071
Amann, Herbert; Quittner, Pavol
1998
Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications. Zbl 0880.42007
Amann, Herbert
1997
A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053
Amann, H.; Fila, M.
1997
Strongly continuous dual semigroups. Zbl 0892.47038
Amann, Herbert; Escher, Joachim
1996
Stability and bifurcation in viscous incompressible fluids. Zbl 0963.76541
Amann, H.
1996
Linear and quasilinear parabolic problems. Vol. 1: Abstract linear theory. Zbl 0819.35001
Amann, Herbert
1995
Ordinary differential equations. 2., überarb. Aufl. Zbl 0823.34001
Amann, Herbert
1995
A nodal theorem for coupled systems of Schrödinger equations and the number of bound states. Zbl 0842.34085
Amann, Herbert; Quittner, Pavol
1995
Heat-conducting incompressible viscous fluids. Zbl 0847.35105
Amann, Herbert
1995
Bounded $$H_ \infty$$-calculus for elliptic operators. Zbl 0799.35060
Amann, Herbert; Hieber, Matthias; Simonett, Gieri
1994
Stability of the rest state of a viscous incompressible fluid. Zbl 0820.76033
Amann, Herbert
1994
Reaction-diffusion problems in electrolysis. Zbl 0831.35153
Amann, Herbert; Renardy, Michael
1994
Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. Zbl 0810.35037
Amann, Herbert
1993
Multiplication in Sobolev and Besov spaces. Zbl 0894.46026
Amann, Herbert
1991
Hopf bifurcation in quasilinear reaction-diffusion systems. Zbl 0780.35051
Amann, Herbert
1991
Highly degenerate quasilinear parabolic systems. Zbl 0738.35029
Amann, Herbert
1991
Global existence for a class of highly degenerate parabolic systems. Zbl 0735.35080
Amann, Herbert
1991
Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems. Zbl 0729.35062
Amann, Herbert
1990
Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen. Zbl 0708.34002
Amann, Herbert
1990
Erratum: “Dynamic theory of quasilinear parabolic systems. III: Global existence”. Zbl 0719.35044
Amann, Herbert
1990
Dynamic theory of quasilinear parabolic systems. III: Global existence. Zbl 0702.35125
Amann, Herbert
1989
Feedback stabilization of linear and semilinear parabolic systems. Zbl 0686.35058
Amann, Herbert
1989
Remarks on quasilinear parabolic systems. Zbl 0675.35055
Amann, Herbert
1989
Parabolic evolution equations and nonlinear boundary conditions. Zbl 0658.34011
Amann, Herbert
1988
Dynamic theory of quasilinear parabolic equations: Abstract evolution equations. Zbl 0666.35043
Amann, Herbert
1988
Parabolic evolution equations in interpolation and extrapolation spaces. Zbl 0654.47019
Amann, Herbert
1988
On abstract parabolic fundamental solutions. Zbl 0616.47032
Amann, Herbert
1987
Semilinear parabolic systems under nonlinear boundary conditions. Zbl 0664.35047
Amann, Herbert
1987
Quasilinear parabolic systems under nonlinear boundary conditions. Zbl 0596.35061
Amann, Herbert
1986
Quasilinear evolution equations and parabolic systems. Zbl 0635.47056
Amann, Herbert
1986
Semigroups and nonlinear evolution equations. Zbl 0624.35047
Amann, Herbert
1986
Parabolic evolution equations with nonlinear boundary conditions. Zbl 0611.35043
Amann, Herbert
1986
Global existence for semilinear parabolic systems. Zbl 0564.35060
Amann, Herbert
1985
Semilinear parabolic systems. Zbl 0576.35067
Amann, Herbert
1985
Existence and regularity for semilinear parabolic evolution equations. Zbl 0625.35045
Amann, Herbert
1984
Periodic solutions of Hamiltonian systems. Zbl 0571.70016
Amann, Herbert
1984
Dual semigroups and second order linear elliptic boundary value problems. Zbl 0535.35017
Amann, Herbert
1983
A note on degree theory for gradient mappings. Zbl 0501.58012
Amann, Herbert
1982
On the unique solvability of semi-linear operator equations in Hilbert spaces. Zbl 0501.47024
Amann, Herbert
1982
Multiple periodic solutions for a class of nonlinear autonomous wave equations. Zbl 0481.35061
Amann, Herbert; Zehnder, E.
1981
Saddle points and multiple solutions of nonlinear differential equations. Zbl 0462.35038
Amann, Herbert
1981
Multiple periodic solutions of autonomous Hamiltonian systems. Zbl 0459.34024
Amann, Herbert
1981
Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations. Zbl 0452.47077
Amann, Herbert; Zehnder, E.
1980
Periodic solutions of asymptotically linear Hamiltonian systems. Zbl 0443.70019
Amann, Herbert; Zehnder, Eduard
1980
Saddle points and multiple solutions of differential equations. Zbl 0414.47042
Amann, Herbert
1979
A multiplicity result for a class of elliptic boundary value problems. Zbl 0416.35029
Amann, Herbert; Hess, Peter
1979
Some applications of monotone operator theory to resonance problems. Zbl 0418.47028
Amann, Herbert; Mancini, Giovanni
1979
Invariant sets for semilinear parabolic and elliptic systems. Zbl 0404.35060
Amann, Herbert
1979
On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030
Amann, Herbert; Crandall, Michael G.
1978
Invariant sets and existence theorems for semilinear parabolic and elliptic systems. Zbl 0387.35038
Amann, Herbert
1978
Periodic solutions of semilinear parabolic equations. Zbl 0464.35050
Amann, Herbert
1978
Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032
Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni
1978
Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations. Zbl 0406.35038
Amann, Herbert
1978
Errata: Fixed point theorems and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0375.47026
Amann, Herbert
1977
Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0345.47044
Amann, Herbert
1976
Existence and multiplicity theorems for semi-linear elliptic boundary value problems. Zbl 0331.35026
Amann, Herbert
1976
Supersolutions, monotone iterations, and stability. Zbl 0319.35039
Amann, Herbert
1976
Nonlinear elliptic equations with nonlinear boundary conditions. Zbl 0345.35045
Amann, Herbert
1976
...and 24 more Documents
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#### Cited by 3,588 Authors

 52 López-Gómez, Julián 49 Amann, Herbert 45 Shakhmurov, Veli B. 32 Escher, Joachim 30 Papageorgiou, Nikolaos S. 29 Walker, Christoph 28 Rodríguez-Bernal, Aníbal 25 Dancer, Edward Norman 24 Shivaji, Ratnasingham 23 Laurençot, Philippe 23 Wang, Mingxin 21 Hieber, Matthias 21 Infante, Gennaro 21 Winkler, Michael 20 Farwig, Reinhard 20 Le, Dung 20 Sun, Jingxian 20 Zanolin, Fabio 19 Cholewa, Jan W. 19 Suárez, Antonio 18 Henderson, Johnny Lee 18 Lan, Kunquan 18 Nolasco de Carvalho, Alexandre 17 Lizama, Carlos 17 Omari, Pierpaolo 17 O’Regan, Donal 17 Pao, Chia-Ven 17 Prüß, Jan Wilhelm 17 Veraar, Mark C. 16 Agarwal, Ravi P. 16 Clément, Philippe J. E. 16 Cosner, Chris 16 Rehberg, Joachim 15 Sweers, Guido H. 14 Afrouzi, Ghasem Alizadeh 14 Delgado, Manuel 14 García-Melián, Jorge 14 Jüngel, Ansgar 14 Lazer, Alan C. 14 Pyatkov, Sergei Grigor’evich 14 Shi, Junping 14 Simonett, Gieri 14 Taira, Kazuaki 14 Umezu, Kenichiro 14 Xu, Xian 13 Brown, Kenneth J. 13 Cantrell, Robert Stephen 13 Dlotko, Tomasz W. 13 Ma, Ruyun 13 Matioc, Bogdan-Vasile 13 Mawhin, Jean L. 13 McKenna, Patrick Joseph 13 Schmitt, Klaus 12 Abels, Helmut 12 Du, Yihong 12 Guidotti, Patrick Q. 12 Hess, Peter O. 12 Liu, Lishan 12 Luca, Rodica 12 Roidos, Nikolaos 12 Shibata, Yoshihiro 12 Smith, Hal Leslie 12 Zhang, Zhitao 11 Denk, Robert 11 Fu, Shengmao 11 Li, Shujie 11 Obaya, Rafael 11 Rossi, Julio Daniel 11 Schnaubelt, Roland 11 Wu, Yonghong 10 Cano-Casanova, Santiago 10 Diagana, Toka 10 Fan, Jishan 10 Feireisl, Eduard 10 Feltrin, Guglielmo 10 Hofer, Helmut H. W. 10 Kozono, Hideo 10 Lions, Pierre-Louis 10 Morgan, Jeff J. 10 Mu, Chunlai 10 Petryshyn, Walter Wolodymyr 10 Rybicki, Sławomir Maciej 10 Sohr, Hermann 10 Yang, Zuodong 10 Zheng, Sining 9 Ambrosetti, Antonio 9 Arrieta, José M. 9 Berestycki, Henri 9 Cabada, Alberto 9 Cuevas, Claudio 9 Cui, Shangbin 9 Guedes de Figueiredo, Djairo 9 Desvillettes, Laurent 9 Fellner, Klemens 9 Hai, Dang Dinh 9 Lin, Zhigui 9 Meyries, Martin 9 Peng, Rui 9 Pietramala, Paolamaria 9 Poláčik, Peter ...and 3,488 more Authors
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#### Cited in 383 Serials

 405 Journal of Differential Equations 367 Journal of Mathematical Analysis and Applications 258 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 218 Nonlinear Analysis. Theory, Methods & Applications 87 Nonlinear Analysis. Real World Applications 61 Applied Mathematics and Computation 61 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 59 Journal of Evolution Equations 56 Annali di Matematica Pura ed Applicata. Serie Quarta 55 Transactions of the American Mathematical Society 51 Journal of Functional Analysis 50 Archive for Rational Mechanics and Analysis 49 Proceedings of the American Mathematical Society 47 Computers & Mathematics with Applications 45 Discrete and Continuous Dynamical Systems 45 Boundary Value Problems 44 Mathematische Annalen 44 Applied Mathematics Letters 43 Discrete and Continuous Dynamical Systems. Series B 42 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 41 Mathematische Zeitschrift 36 NoDEA. Nonlinear Differential Equations and Applications 35 Applicable Analysis 35 Communications in Partial Differential Equations 34 Calculus of Variations and Partial Differential Equations 33 Mathematical Methods in the Applied Sciences 31 Advanced Nonlinear Studies 30 ZAMP. Zeitschrift für angewandte Mathematik und Physik 30 Mathematische Nachrichten 30 Abstract and Applied Analysis 25 Journal of Computational and Applied Mathematics 25 Journal of Dynamics and Differential Equations 23 Journal of Mathematical Biology 23 Journal of Mathematical Fluid Mechanics 22 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 22 Numerische Mathematik 22 SIAM Journal on Mathematical Analysis 21 Rocky Mountain Journal of Mathematics 21 Communications on Pure and Applied Analysis 20 Mathematical and Computer Modelling 19 Acta Applicandae Mathematicae 19 Acta Mathematica Sinica. English Series 18 Discrete and Continuous Dynamical Systems. Series S 17 Advances in Difference Equations 16 Integral Equations and Operator Theory 16 Manuscripta Mathematica 16 Monatshefte für Mathematik 15 Journal of Mathematical Physics 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Journal of Fixed Point Theory and Applications 13 Nonlinearity 13 Czechoslovak Mathematical Journal 13 Journal of Mathematical Sciences (New York) 13 Positivity 13 Mediterranean Journal of Mathematics 12 Mathematics of Computation 12 Electronic Journal of Differential Equations (EJDE) 11 Bulletin of the Australian Mathematical Society 11 Israel Journal of Mathematics 11 Mathematical Biosciences 11 Numerical Functional Analysis and Optimization 11 Potential Analysis 11 Fixed Point Theory and Applications 11 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 10 Communications in Mathematical Physics 10 Zeitschrift für Analysis und ihre Anwendungen 10 Acta Mathematicae Applicatae Sinica. English Series 10 Journal of Integral Equations and Applications 9 Journal d’Analyse Mathématique 9 Archiv der Mathematik 9 Chinese Annals of Mathematics. Series B 9 Acta Mathematica Sinica. New Series 9 The Journal of Fourier Analysis and Applications 9 Differential Equations 9 Complex Variables and Elliptic Equations 9 Mathematical Modelling of Natural Phenomena 8 Advances in Mathematics 8 Applied Mathematics and Optimization 8 Semigroup Forum 8 Physica D 8 Topological Methods in Nonlinear Analysis 8 Annales Mathématiques Blaise Pascal 8 Journal of Difference Equations and Applications 8 Communications in Nonlinear Science and Numerical Simulation 7 International Journal of Mathematics and Mathematical Sciences 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Rendiconti del Seminario Matematico della Università di Padova 7 SIAM Journal on Control and Optimization 7 Systems & Control Letters 7 Applied Mathematics and Mechanics. (English Edition) 7 Stochastic Analysis and Applications 7 Journal of Nonlinear Science 7 Journal of Inequalities and Applications 7 Discrete Dynamics in Nature and Society 7 Journal of Applied Mathematics 7 SIAM Journal on Applied Dynamical Systems 7 Science China. Mathematics 6 Inventiones Mathematicae ...and 283 more Serials
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#### Cited in 53 Fields

 2,740 Partial differential equations (35-XX) 801 Operator theory (47-XX) 733 Ordinary differential equations (34-XX) 602 Biology and other natural sciences (92-XX) 266 Fluid mechanics (76-XX) 264 Dynamical systems and ergodic theory (37-XX) 246 Global analysis, analysis on manifolds (58-XX) 189 Numerical analysis (65-XX) 151 Calculus of variations and optimal control; optimization (49-XX) 135 Integral equations (45-XX) 135 Functional analysis (46-XX) 101 Probability theory and stochastic processes (60-XX) 73 Mechanics of deformable solids (74-XX) 73 Statistical mechanics, structure of matter (82-XX) 64 Differential geometry (53-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 59 Systems theory; control (93-XX) 57 Classical thermodynamics, heat transfer (80-XX) 47 Mechanics of particles and systems (70-XX) 41 Difference and functional equations (39-XX) 40 Algebraic topology (55-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Real functions (26-XX) 25 General topology (54-XX) 21 Operations research, mathematical programming (90-XX) 16 Quantum theory (81-XX) 15 Optics, electromagnetic theory (78-XX) 13 Computer science (68-XX) 13 Information and communication theory, circuits (94-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Geophysics (86-XX) 11 Potential theory (31-XX) 8 Approximations and expansions (41-XX) 8 Manifolds and cell complexes (57-XX) 7 Abstract harmonic analysis (43-XX) 6 Measure and integration (28-XX) 6 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Topological groups, Lie groups (22-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 3 Astronomy and astrophysics (85-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Mathematical logic and foundations (03-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) 1