Functional Analysis and Evolution Equations: The Gunter Lumer Volume

Amann H. (Ed)3-7643-7793-9

Günter Lumer was an outstanding mathematician whose work has great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips of 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Günter Lumer.

---

Table of contents :
Cover……Page 1
Functional Analysis and Evolution Equations……Page 2
Contents……Page 5
Life and Work of Günter Lumer……Page 9
In Remembrance of Günter Lumer……Page 18
Expansions in Generalized Eigenfunctions of the Weighted Laplacian on Star-shaped Networks……Page 20
Diffusion Equations with Finite Speed of Propagation……Page 36
Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle……Page 54
An Integral Equation in AeroElasticity……Page 70
Eigenvalue Asymptotics Under a Non-dissipative Eigenvalue Dependent Boundary Condition for Second-order Elliptic Operators……Page 85
Feynman-Kac Formulas, Backward Stochastic Differential Equations and Markov Processes……Page 100
Generation of Cosine Families on Lp (0,1) by Elliptic Operators with Robin Boundary Conditions……Page 129
Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation……Page 147
Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities……Page 163
On a Stochastic Parabolic Integral Equation……Page 172
Resolvent Estimates for a Perturbed Oseen Problem……Page 185
Abstract Delay Equations Inspired by Population Dynamics……Page 201
Weak Stability for Orbits of C0-semigroups on Banach Spaces……Page 215
Contraction Semigroups on L∞(R)……Page 223
On the Curve Shortening Flow with Triple Junction……Page 236
The Dual Mixed Finite Element Method for the Heat Diffusion Equation in a Polygonal Domain, I……Page 252
Maximal Regularity of the Stokes Operator in General Unbounded Domains of ℝn……Page 270
Linear Control Systems in Sequence Spaces……Page 286
On the Motion of Several Rigid Bodies in a Viscous Multipolar Fluid……Page 304
On the Stokes Resolvent Equations in Locally Uniform Lp Spaces in Exterior Domains……Page 319
Generation of Analytic Semigroups and Domain Characterization for Degenerate Elliptic Operators with Unbounded Coefficients Arising in Financial Mathematics. Part II……Page 327
Numerical Approximation of Generalized Functions: Aliasing, the Gibbs Phenomenon and a Numerical Uncertainty Principle……Page 343
No Radial Symmetries in the Arrhenius-Semenov Thermal Explosion Equation……Page 369
Mild Well-posedness of Abstract Differential Equations……Page 383
Backward Uniqueness in Linear Thermoelasticity with Time and Space Variable Coefficients……Page 400
Measure and Integral: New Foundations after One Hundred Years……Page 415
Post-Widder Inversion for Laplace Transforms of Hyperfunctions……Page 433
On a Class of Elliptic Operators with Unbounded Time- and Space-dependent Coefficients in ℝN……Page 442
Time-dependent Nonlinear Perturbations of Analytic Semigroups……Page 466
A Variational Approach to Strongly Damped Wave Equations……Page 512
Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwell’s System with Memory Boundary Conditions……Page 524
Maximal Regularity for Degenerate Evolution Equations with an Exponential Weight Function……Page 540
An Analysis of Asian options……Page 555
Linearized Stability and Regularity for Nonlinear Age-dependent Population Models……Page 568
Space Almost Periodic Solutions of Reaction Diffusion Equations……Page 584
On the Oseen Semigroup with Rotating Effect……Page 602
Exact Controllability in L2(Ω) of the Schrödinger Equation in a Riemannian Manifold with L2(Σ1)-Neumann Boundary Control……Page 619
back-matter.pdf……Page 643