Evolution equations and their applications in physical and life sciences : proceedings of the Bad Herrenalb (Karlsruhe), Germany, conference

This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physical and Life Sciences, held in Bad Herrenalb, Germany. Cover......Page 1 Title......Page 2 Preface......Page 4 Contents......Page 6 Contributors......Page 10 Different Domains Induce Different Heat Semigroups on C0\r(sigma)......Page 15 Gaussian Estimates for Second Order Elliptic Divergence Operators on Lipschitz and......Page 29 Approximate Solutions to the Abstract Cauchy Problem......Page 47 Smart Structures and Super Stability......Page 57 On the Structure of the Critical Spectrum of Strongly Continuous Semigroups......Page 69 An Operator-Valued Transference Principle and Maximal Regularity on Vector-Valued Lp-spaces......Page 81 On Anomalous Asymptotics of Heat Kernels......Page 103 On Some Classes of Differential Operators Generating Analytic Semigroups*......Page 119 A Characterization of the Growth Bound of a Semigroup via Fourier Multipliers......Page 135 Laplace Transform Theory for Logarithmic Regions......Page 139 Exact Boundary Controllability of Maxwell's Equations in Heterogeneous Media......Page 153 A Sufficient Condition for Exponential Dichotomy of Parabolic Evolution Equations......Page 163 Edge-Degenerate Boundary Value Problems on Cones......Page 173 A Theorem on Products of Non-Commuting Sectorial Operators......Page 189 The Spectral Radius, Hyperbolic Operators and Lyapunov's Theorem......Page 201 A New Approach to Maximal Lp-Regularity......Page 209 The Instantaneous Limit of a Reaction-Diffusion System......Page 229 A Semigroup Approach To Dispersive Waves......Page 239 Regularity Properties of Solutions of Fractional Evolution Equations......Page 249 Infinite Horizon Riccati Operators in Nonreflexive Spaces......Page 261 A Hyperbolic Variant of Simon's Convergence Theorem......Page 269 Solution of a Quasilinear Parabolic-Elliptic Boundary Value Problem......Page 279 Singular Cluster Interactions in Few-Body Problems......Page 291 Feynman and Wiener Path Integrals Representations of the Liouville Evolution......Page 307 Spectral Characterization of Mixing Evolutions in Classical Statistical Physics......Page 315 On Stochastic SchrSdinger Equation as a Dirac Boundary-Value Problem, and an Inductive Stochastic Limit......Page 325 A Maximum Principle for Fully Nonlinear Parabolic Equations with Time Degeneracy......Page 343 Dirac Algebra and Foldy-Wouthuysen Transform......Page 349 On Perturbations for the Continuous Spectra of Semigroup Generators......Page 361 Mathematical Study of a Coupled System Arising in Magnetohydrodynamics......Page 369 A Disease Transport Model*......Page 383 Blow Up and Hovering in Parabolic Systems with Singular Interactions : Can We See a Hyperfunction?......Page 401 Some Asymptotic Problems in Fluid Mechanics......Page 409 Remarks to the Blow-up Rate of a Degenerate Parabolic Equation......Page 427 Banach Space Valued Ornstein-Uhlenbeck Processes Indexed by the Circle......Page 449 Some Properties of the KMS-Function......Page 467 A Generalization of the Bismut-Elworthy Formula......Page 487 Dirichlet Operators for Dissipative Gradient Systems......Page 497 Generators of Feller Semigroups as Generators of LP-sub-Markovian Semigroups......Page 507 A Note on Stochastic Wave Equations......Page 515 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS (titles of thr books)......Page 527