Riassunto:
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.
Contenuti:
Remarks on Bifurcation from the Essential Spectrum.- Constructions with Analytic Semigroups and Abstract Exponential Decay Results for Eigenfunctions.- Wiener Regularity and Heat Semigroups on Spaces of Continuous Functions.- Infinitely Many Solutions of Nonlinear Elliptic Systems.- Hölder Regularity for a Linear Fractional Evolution Equation.- Non Gradient Perturbations of Ornstein-Uhlenbeck Semigroups.- Remarks on Jumping Nonlinearities.- Local Singular Variation of Domain for Semilinear Elliptic Equations.- Singular Semilinear Elliptic Equations in L1 (?N).- Moving Surfaces and Abstract Parabolic Evolution Equations.- Evolution Equations with Dissipation of Memory Type.- Large Time Behavior of Solutions of a Semilinear Parabolic Equation with a Nonlinear Dynamical Boundary Condition.- Functional Properties of the Navier-Stokes Operator and Bifurcation of Stationary Solutions: Planar Exterior Domains.- Loss of Convexity of Simple Closed Curves Moved by Surface Diffusion.- On the Equations of Fiber Spinning in Nonisothermal Viscous Flow.- On Radial Solutions of Quasilinear Boundary Value Problems.- Operator Valued Fourier Multipliers.- Properties of Pseudoholomorphic Curves in Symplectizations III: Fredholm Theory.- Variational Principles for Minimal Surfaces.- Hysteresis Operators in Phase-Field Models.- Regularity for a Class of Sums of Noncommuting Operators.- On Stationary Incompressible Navier-Stokes Flows with Fast Decay and the Vanishing Flux Condition.- Non-stationary Viscous Flows with a Cylindrical Free Surface.- A Note on Heteroclinics for a Hamiltonian System of Double Pendulum Type.- Stability Properties Related to the Magnetic Bénard Problem.- Remarks on the Asymptotic Bounds for the Energy Dissipation in the Couette Problem.- A Special Class of Weak Solutions of the Navier-Stokes Equations in Arbitrary Three-dimensional Domains.- On Quasistationary Approximation in the Problem of Motion of a Capillary Drop.- On the Asymptotic Behaviour of a Landau-Ginzburg Model for the Martensitic Phase Transitions in Shape Memory Alloys.- Decompositions of Function Spaces.- Functional Calculus for Unbounded Operators by Integration over the Positive Real Axis. Applications to Elliptic Systems in Half-Cylinders.
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