Ebook: Topics in Nonlinear Analysis: The Herbert Amann Anniversary Volume

Herbert Amann's work is distinguished and marked by great lucidity and deep mathematical understanding. The present collection of 31 research papers, written by highly distinguished and accomplished mathematicians, reflect his interest and lasting influence in various fields of analysis such as degree and fixed point theory, nonlinear elliptic boundary value problems, abstract evolutions equations, quasi-linear parabolic systems, fluid dynamics, Fourier analysis, and the theory of function spaces. Contributors are A. Ambrosetti, S. Angenent, W. Arendt, M. Badiale, T. Bartsch, Ph. Bénilan, Ph. Clément, E. Faöangová, M. Fila, D. de Figueiredo, G. Gripenberg, G. Da Prato, E.N. Dancer, D. Daners, E. DiBenedetto, D.J. Diller, J. Escher, G.P. Galdi, Y. Giga, T. Hagen, D.D. Hai, M. Hieber, H. Hofer, C. Imbusch, K. Ito, P. Krejcí, S.-O. Londen, A. Lunardi, T. Miyakawa, P. Quittner, J. Prüss, V.V. Pukhnachov, P.J. Rabier, P.H. Rabinowitz, M. Renardy, B. Scarpellini, B.J. Schmitt, K. Schmitt, G. Simonett, H. Sohr, V.A. Solonnikov, J. Sprekels, M. Struwe, H. Triebel, W. von Wahl, M. Wiegner, K. Wysocki, E. Zehnder and S. Zheng.

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Herbert Amann's work is distinguished and marked by great lucidity and deep mathematical understanding. The present collection of 31 research papers, written by highly distinguished and accomplished mathematicians, reflect his interest and lasting influence in various fields of analysis such as degree and fixed point theory, nonlinear elliptic boundary value problems, abstract evolutions equations, quasi-linear parabolic systems, fluid dynamics, Fourier analysis, and the theory of function spaces. Contributors are A. Ambrosetti, S. Angenent, W. Arendt, M. Badiale, T. Bartsch, Ph. B?nilan, Ph. Cl?ment, E. Fa?angov?, M. Fila, D. de Figueiredo, G. Gripenberg, G. Da Prato, E.N. Dancer, D. Daners, E. DiBenedetto, D.J. Diller, J. Escher, G.P. Galdi, Y. Giga, T. Hagen, D.D. Hai, M. Hieber, H. Hofer, C. Imbusch, K. Ito, P. Krejc?, S.-O. Londen, A. Lunardi, T. Miyakawa, P. Quittner, J. Pr?ss, V.V. Pukhnachov, P.J. Rabier, P.H. Rabinowitz, M. Renardy, B. Scarpellini, B.J. Schmitt, K. Schmitt, G. Simonett, H. Sohr, V.A. Solonnikov, J. Sprekels, M. Struwe, H. Triebel, W. von Wahl, M. Wiegner, K. Wysocki, E. Zehnder and S. Zheng.

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Herbert Amann's work is distinguished and marked by great lucidity and deep mathematical understanding. The present collection of 31 research papers, written by highly distinguished and accomplished mathematicians, reflect his interest and lasting influence in various fields of analysis such as degree and fixed point theory, nonlinear elliptic boundary value problems, abstract evolutions equations, quasi-linear parabolic systems, fluid dynamics, Fourier analysis, and the theory of function spaces. Contributors are A. Ambrosetti, S. Angenent, W. Arendt, M. Badiale, T. Bartsch, Ph. B?nilan, Ph. Cl?ment, E. Fa?angov?, M. Fila, D. de Figueiredo, G. Gripenberg, G. Da Prato, E.N. Dancer, D. Daners, E. DiBenedetto, D.J. Diller, J. Escher, G.P. Galdi, Y. Giga, T. Hagen, D.D. Hai, M. Hieber, H. Hofer, C. Imbusch, K. Ito, P. Krejc?, S.-O. Londen, A. Lunardi, T. Miyakawa, P. Quittner, J. Pr?ss, V.V. Pukhnachov, P.J. Rabier, P.H. Rabinowitz, M. Renardy, B. Scarpellini, B.J. Schmitt, K. Schmitt, G. Simonett, H. Sohr, V.A. Solonnikov, J. Sprekels, M. Struwe, H. Triebel, W. von Wahl, M. Wiegner, K. Wysocki, E. Zehnder and S. Zheng.
Content:
Front Matter....Pages i-x
Remarks on Bifurcation from the Essential Spectrum....Pages 1-9
Constructions with Analytic Semigroups and Abstract Exponential Decay Results for Eigenfunctions....Pages 11-27
Wiener Regularity and Heat Semigroups on Spaces of Continuous Functions....Pages 29-49
Infinitely Many Solutions of Nonlinear Elliptic Systems....Pages 51-67
H?lder Regularity for a Linear Fractional Evolution Equation....Pages 69-82
Non Gradient Perturbations of Ornstein-Uhlenbeck Semigroups....Pages 83-99
Remarks on Jumping Nonlinearities....Pages 101-116
Local Singular Variation of Domain for Semilinear Elliptic Equations....Pages 117-141
Singular Semilinear Elliptic Equations in L1(?N)....Pages 143-181
Moving Surfaces and Abstract Parabolic Evolution Equations....Pages 183-212
Evolution Equations with Dissipation of Memory Type....Pages 213-250
Large Time Behavior of Solutions of a Semilinear Parabolic Equation with a Nonlinear Dynamical Boundary Condition....Pages 251-272
Functional Properties of the Navier-Stokes Operator and Bifurcation of Stationary Solutions: Planar Exterior Domains....Pages 273-303
Loss of Convexity of Simple Closed Curves Moved by Surface Diffusion....Pages 305-320
On the Equations of Fiber Spinning in Nonisothermal Viscous Flow....Pages 321-348
On Radial Solutions of Quasilinear Boundary Value Problems....Pages 349-361
Operator Valued Fourier Multipliers....Pages 363-380
Properties of Pseudoholomorphic Curves in Symplectizations III: Fredholm Theory....Pages 381-475
Variational Principles for Minimal Surfaces....Pages 477-498
Hysteresis Operators in Phase-Field Models....Pages 499-515
Regularity for a Class of Sums of Noncommuting Operators....Pages 517-533
On Stationary Incompressible Navier-Stokes Flows with Fast Decay and the Vanishing Flux Condition....Pages 535-552
Non-stationary Viscous Flows with a Cylindrical Free Surface....Pages 553-569
A Note on Heteroclinics for a Hamiltonian System of Double Pendulum Type....Pages 571-584
Stability Properties Related to the Magnetic B?nard Problem....Pages 585-610
Remarks on the Asymptotic Bounds for the Energy Dissipation in the Couette Problem....Pages 611-620
A Special Class of Weak Solutions of the Navier-Stokes Equations in Arbitrary Three-dimensional Domains....Pages 621-642
On Quasistationary Approximation in the Problem of Motion of a Capillary Drop....Pages 643-671
On the Asymptotic Behaviour of a Landau-Ginzburg Model for the Martensitic Phase Transitions in Shape Memory Alloys....Pages 673-689
Decompositions of Function Spaces....Pages 691-730
Functional Calculus for Unbounded Operators by Integration over the Positive Real Axis. Applications to Elliptic Systems in Half-Cylinders....Pages 731-744
Back Matter....Pages 745-748

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Herbert Amann's work is distinguished and marked by great lucidity and deep mathematical understanding. The present collection of 31 research papers, written by highly distinguished and accomplished mathematicians, reflect his interest and lasting influence in various fields of analysis such as degree and fixed point theory, nonlinear elliptic boundary value problems, abstract evolutions equations, quasi-linear parabolic systems, fluid dynamics, Fourier analysis, and the theory of function spaces. Contributors are A. Ambrosetti, S. Angenent, W. Arendt, M. Badiale, T. Bartsch, Ph. B?nilan, Ph. Cl?ment, E. Fa?angov?, M. Fila, D. de Figueiredo, G. Gripenberg, G. Da Prato, E.N. Dancer, D. Daners, E. DiBenedetto, D.J. Diller, J. Escher, G.P. Galdi, Y. Giga, T. Hagen, D.D. Hai, M. Hieber, H. Hofer, C. Imbusch, K. Ito, P. Krejc?, S.-O. Londen, A. Lunardi, T. Miyakawa, P. Quittner, J. Pr?ss, V.V. Pukhnachov, P.J. Rabier, P.H. Rabinowitz, M. Renardy, B. Scarpellini, B.J. Schmitt, K. Schmitt, G. Simonett, H. Sohr, V.A. Solonnikov, J. Sprekels, M. Struwe, H. Triebel, W. von Wahl, M. Wiegner, K. Wysocki, E. Zehnder and S. Zheng.
Content:
Front Matter....Pages i-x
Remarks on Bifurcation from the Essential Spectrum....Pages 1-9
Constructions with Analytic Semigroups and Abstract Exponential Decay Results for Eigenfunctions....Pages 11-27
Wiener Regularity and Heat Semigroups on Spaces of Continuous Functions....Pages 29-49
Infinitely Many Solutions of Nonlinear Elliptic Systems....Pages 51-67
H?lder Regularity for a Linear Fractional Evolution Equation....Pages 69-82
Non Gradient Perturbations of Ornstein-Uhlenbeck Semigroups....Pages 83-99
Remarks on Jumping Nonlinearities....Pages 101-116
Local Singular Variation of Domain for Semilinear Elliptic Equations....Pages 117-141
Singular Semilinear Elliptic Equations in L1(?N)....Pages 143-181
Moving Surfaces and Abstract Parabolic Evolution Equations....Pages 183-212
Evolution Equations with Dissipation of Memory Type....Pages 213-250
Large Time Behavior of Solutions of a Semilinear Parabolic Equation with a Nonlinear Dynamical Boundary Condition....Pages 251-272
Functional Properties of the Navier-Stokes Operator and Bifurcation of Stationary Solutions: Planar Exterior Domains....Pages 273-303
Loss of Convexity of Simple Closed Curves Moved by Surface Diffusion....Pages 305-320
On the Equations of Fiber Spinning in Nonisothermal Viscous Flow....Pages 321-348
On Radial Solutions of Quasilinear Boundary Value Problems....Pages 349-361
Operator Valued Fourier Multipliers....Pages 363-380
Properties of Pseudoholomorphic Curves in Symplectizations III: Fredholm Theory....Pages 381-475
Variational Principles for Minimal Surfaces....Pages 477-498
Hysteresis Operators in Phase-Field Models....Pages 499-515
Regularity for a Class of Sums of Noncommuting Operators....Pages 517-533
On Stationary Incompressible Navier-Stokes Flows with Fast Decay and the Vanishing Flux Condition....Pages 535-552
Non-stationary Viscous Flows with a Cylindrical Free Surface....Pages 553-569
A Note on Heteroclinics for a Hamiltonian System of Double Pendulum Type....Pages 571-584
Stability Properties Related to the Magnetic B?nard Problem....Pages 585-610
Remarks on the Asymptotic Bounds for the Energy Dissipation in the Couette Problem....Pages 611-620
A Special Class of Weak Solutions of the Navier-Stokes Equations in Arbitrary Three-dimensional Domains....Pages 621-642
On Quasistationary Approximation in the Problem of Motion of a Capillary Drop....Pages 643-671
On the Asymptotic Behaviour of a Landau-Ginzburg Model for the Martensitic Phase Transitions in Shape Memory Alloys....Pages 673-689
Decompositions of Function Spaces....Pages 691-730
Functional Calculus for Unbounded Operators by Integration over the Positive Real Axis. Applications to Elliptic Systems in Half-Cylinders....Pages 731-744
Back Matter....Pages 745-748
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