Functional Analysis and Evolution Equations: The Günter Lumer Volume

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Herbert Amann, Wolfgang Arendt, Frank Neubrander, Serge Nicaise, Joachim Below
Springer Science & Business Media, 28.02.2008 - 637 Seiten

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.

 

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Inhalt

Expansions in Generalized Eigenfunctions of the Weighted Laplacian on Starshaped Networks
1
Diffusion Equations with Finite Speed of Propagation
17
Properties via the Transference Principle
35
An Integral Equation in AeroElasticity
51
Eigenvalue Asymptotics Under a Nondissipative Eigenvalue Dependent Boundary Condition for Secondorder Elliptic Operators
67
FeynmanKac Formulas Backward Stochastic Differential Equations and Markov Processes
82
Generation of Cosine Families on Lᴾ01 by Elliptic Operators with Robin Boundary Conditions
113
Global Smooth Solutions to a Fourthorder Quasilinear Fractional Evolution Equation
131
On the Stokes Resolvent Equations in Locally Uniform Lᴾ Spaces in Exterior Domains
307
Generation of Analytic Semigroups and Domain Characterization for Degenerate Elliptic Operators with Unbounded Coefficients Arising in Financial...
315
Aliasing the Gibbs Phenomenon and a Numerical Uncertainty Principle
331
No Radial Symmetries in the Arrhenius Semenov Thermal Explosion Equation
357
of Abstract Differential Equations
371
Backward Uniqueness in Linear Thermoelasticity with Time and Space Variable Coefficients
388
New Foundations after One Hundred Years
405
PostWidder Inversion for Laplace Transforms of Hyperfunctions
423

Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities
147
On a Stochastic Parabolic Integral Equation
156
Resolvent Estimates for a Perturbed Oseen Problem
171
Abstract Delay Equations Inspired by Population Dynamics
187
Weak Stability for Orbits of Cₒsemigroups on Banach Spaces
201
Contraction Semigroups on LR
209
On the Curve Shortening Flow with Triple Junction
222
The Dual Mixed Finite Element Method for the Heat Diffusion Equation in a Polygonal Domain I
239
Maximal Regularity of the Stokes Operator in General Unbounded Domains of Rⁿ
257
Linear Control Systems in Sequence Spaces
273
On the Motion of Several Rigid Bodies in a Viscous Multipolar Fluid
291
On a Class of Elliptic Operators with Unbounded Time and Spacedependent Coefficients in ℝᴺ
432
Timedependent Nonlinear Perturbations of Analytic Semigroups
457
A Variational Approach to Strongly Damped Wave Equations
503
Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwells System with Memory Boundary Conditions
515
Maximal Regularity for Degenerate Evolution Equations with an Exponential Weight Function
531
An Analysis of Asian options
547
Linearized Stability and Regularity for Nonlinear Agedependent Population Models
560
Space Almost Periodic Solutions of Reaction Diffusion Equations
577
On the Oseen Semigroup with Rotating Effect
595
Exact Controllability in L₂Ω of the Schrödinger Equation in a Riemannian Manifold with L₂Σ₁Neumann Boundary Control
613
List of Authors
637

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