E-raamat: Evolution Equations and Their Applications in Physical and Life Sciences

Preface, Contributors, Semigroups and Partial Differential Equations,
1.
Different Domains Induce Different Heat Semigroups on C0(),
2. Gaussian
Estimates for Second Order Elliptic Divergence Operators on Lipschitz and C1
Domains,
3. Approximate Solutions to the Abstract Cauchy Problem,
4. Smart
Structures and Super Stability,
5. On the Structure of the Critical Spectrum
of Strongly Continuous Semigroups,
6. An Operator-Valued Transference
Principle and Maximal Regularity on Vector-Valued Lp-Spaces,
7. On Anomalous
Asymptotics of Heat Kernels,
8. On Some Classes of Differential Operators
Generating Analytic Semigroups,
9. A Characterization of the Growth Bound of
a Semigroup via Fourier Multipliers,
10. Laplace Transform Theory for
Logarithmic Regions,
11. Exact Boundary Controllability of Maxwells
Equations in Heterogeneous Media,
12. A Sufficient Condition for Exponential
Dichotomy of Parabolic Evolution Equations,
13. Edge-Degenerate Boundary
Value Problems on Cones,
14. A Theorem on Products of Non-Commuting Sectorial
Operators,
15. The Spectral Radius, Hyperbolic Operators and Lyapunovs
Theorem,
16. A New Approach to Maximal Lp-Regularity, Nonlinear Evolution
Equations,
17. The Instantaneous Limit of a Reaction-Diffusion System,
18. A
Semigroup Approach to Dispersive Waves,
19. Regularity Properties of
Solutions of Fractional Evolution Equations,
20. Infinite Horizon Riccati
Operators in Nonreflexive Spaces,
21. A Hyperbolic Variant of Simons
Convergence Theorem,
22. Solution of a Quasilinear Parabolic-Elliptic
Boundary Value Problem, Physical and Life Sciences,
23. Singular Cluster
Interactions in Few-Body Problems,
24. Feynman and Wiener Path Integrals
Representations of the Liouville Evolution,
25. Spectral Characterization of
Mixing Evolutions in Classical Statistical Physics,
26. On Stochastic
Schrodinger Equation as a Dirac Boundary-Value Problem, and an Inductive
Stochastic Limit,
27. A Maximum Principle for Fully Nonlinear Parabolic
Equations with Time Degeneracy,
28. Dirac Algebra and Foldy-Wouthuysen
Transform,
29. On Perturbations for the Continuous Spectra of Semigroup
Generators,
30. Mathematical Study of a Coupled System Arising in
Magnetohydrodynamics,
31. A Disease Transport Model,
32. Blow-Up and Hovering
in Parabolic Systems with Singular Interactions: Can We See a
Hyperfunction?,
33. Some Asymptotic Problems in Fluid Mechanics,
34. Limits
to Causality and Delocalization in Classical Field Theory,
35. Remarks to the
Blow-up Rate of a Degenerate Parabolic Equation,
36. Stability in Chemical
Reactor Theory, Stochastic Evolution Equations,
37. Banach Space Valued
Ornstein-Uhlenbeck Processes Indexed by the Circle,
38. Some Properties of
the KMS-Function,
39. A Generalization of the Bismut-Elworthy Formula,
40.
Dirichlet Operators for Dissipative Gradient Systems,
41. Generators of
Feller Semigroups as Generators of Lp-sub-Markovian Semigroups,
42. A Note on
Stochastic Wave Equations

GÜNTER LUMER is a Professor in the Department of Mathematics at the University of Mons-Hainaut, Mons. Belgium, and a member/researcher of the Solvay Institute for Physics and Chemistry, Brussels, Belgium. He is also President of the Contact Group on Partial Differential Equations of the Belgian National Fund for Scientific Research. The coeditor of Erolution Equations, Control Theory, and Biomathematics (Marcel Dekker, Inc.) and author or coauthor of over JOO professional papers and monographs. he is a member of the American Mathematical Society, the Belgian Mathematical Society, and the French Mathematical Society. Dr. Lumer received the M.Sc. degree ( 1957) in electrical engineering from the University of Montevideo, Uruguay, and the Ph.D. degree ( 1959) in mathematics from the University of Chicago, Illinois. LUTZ WEIS is Professor of Mathematics at the University of Karlsruhe, Germany. The author or coauthor of numerous professional papers on asymptotics, semigroups, spectral theory, and other topics, Dr. Weis is a member of the American Mathematical Society and the German Mathematical Society. He received the Ph.D. degree (1974) in mathematics from the University of Bonn, Germany.