Ebook: Functional Analysis and Evolution Equations: The Günter Lumer Volume

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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G?nter 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 G?nter Lumer. 

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G?nter 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 G?nter Lumer. 

Content:
Front Matter....Pages i-xx
Expansions in Generalized Eigenfunctions of the Weighted Laplacian on Star-shaped Networks....Pages 1-16
Diffusion Equations with Finite Speed of Propagation....Pages 17-34
Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle....Pages 35-50
An Integral Equation in AeroElasticity....Pages 51-65
Eigenvalue Asymptotics Under a Non-dissipative Eigenvalue Dependent Boundary Condition for Second-order Elliptic Operators....Pages 67-81
Feynman-Kac Formulas, Backward Stochastic Differential Equations and Markov Processes....Pages 83-111
Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation....Pages 113-130
Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities....Pages 131-146
On a Stochastic Parabolic Integral Equation....Pages 147-155
Resolvent Estimates for a Perturbed Oseen Problem....Pages 157-169
Abstract Delay Equations Inspired by Population Dynamics....Pages 171-186
On the Curve Shortening Flow with Triple Junction....Pages 187-200
The Dual Mixed Finite Element Method for the Heat Diffusion Equation in a Polygonal Domain, I....Pages 201-208
Linear Control Systems in Sequence Spaces....Pages 209-221
On the Motion of Several Rigid Bodies in a Viscous Multipolar Fluid....Pages 223-238
Generation of Analytic Semigroups and Domain Characterization for Degenerate Elliptic Operators with Unbounded Coefficients Arising in Financial Mathematics. Part II....Pages 239-256
Numerical Approximation of Generalized Functions: Aliasing, the Gibbs Phenomenon and a Numerical Uncertainty Principle....Pages 257-272
No Radial Symmetries in the Arrhenius-Semenov Thermal Explosion Equation....Pages 273-290
Mild Well-posedness of Abstract Differential Equations....Pages 291-305
Backward Uniqueness in Linear Thermoelasticity with Time and Space Variable Coefficients....Pages 307-314
Measure and Integral: New Foundations after One Hundred Years....Pages 315-330
Post-Widder Inversion for Laplace Transforms of Hyperfunctions....Pages 331-356
Time-dependent Nonlinear Perturbations of Analytic Semigroups....Pages 357-370
A Variational Approach to Strongly Damped Wave Equations....Pages 371-387
Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwell’s System with Memory Boundary Conditions....Pages 389-403
Maximal Regularity for Degenerate Evolution Equations with an Exponential Weight Function....Pages 405-422
An Analysis of Asian options....Pages 423-431
Linearized Stability and Regularity for Nonlinear Age-dependent Population Models....Pages 433-456
Space Almost Periodic Solutions of Reaction Diffusion Equations....Pages 457-502
On the Oseen Semigroup with Rotating Effect....Pages 503-514
Back Matter....Pages 515-530
....Pages 531-545