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Functional Analysis and Evolution Equations

The Günter Lumer Volume

  • Book
  • © 2008

Overview

Editors:
  1. Herbert Amann

    1. Institut für Mathematik, Universität Zürich, Zürich, Switzerland

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  2. Wolfgang Arendt

    1. Abteilung Angewandte Analysis, Universität Ulm, Ulm, Germany

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  3. Matthias Hieber

    1. Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt, Germany

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  4. Frank M. Neubrander

    1. Department of Mathematics, Louisiana State University, Baton Rouge, USA

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  5. Serge Nicaise

    1. Université de Valenciennes et du Hainaut Cambrésis, Valenciennes Cedex 9, France

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  6. Joachim Below

    1. Laboratoire de Mathématiques Pures et Appliquées — LMPA “Joseph Liouville”, Université du Littoral-Côte d’Opale, Calais Cedex, France

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  • Particular care is taken of the many applications to linear and nonlinear partial differential equations and concrete evolutionary models from natural sciences and technology
  • Includes supplementary material: sn.pub/extras

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Table of contents (37 chapters)

  1. Front Matter

    Pages i-xx
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  2. Expansions in Generalized Eigenfunctions of the Weighted Laplacian on Star-shaped Networks

    • Félix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier
    Pages 1-16

  3. Diffusion Equations with Finite Speed of Propagation

    • Fuensanta Andreu, Vicent Caselles, José M. Mazón
    Pages 17-34

  4. Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle

    • Boris Baeumer, Mihály Kovács, Mark M. Meerschaert
    Pages 35-50

  5. An Integral Equation in AeroElasticity

    • Alampallam V. Balakrishnan
    Pages 51-65

  6. Eigenvalue Asymptotics Under a Non-dissipative Eigenvalue Dependent Boundary Condition for Second-order Elliptic Operators

    • Joachim von Below, Gilles François
    Pages 67-81

  7. Feynman-Kac Formulas, Backward Stochastic Differential Equations and Markov Processes

    • Jan A. Van Casteren
    Pages 83-111

  8. Generation of Cosine Families on L p(0,1) by Elliptic Operators with Robin Boundary Conditions

    • Ralph Chill, Valentin Keyantuo, Mahamadi Warma
    Pages 113-130

  9. Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation

    • Philippe Clément, Rico Zacher
    Pages 131-146

  10. Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities

    • Lorenzo D’Ambrosio, Enzo Mitidieri
    Pages 147-155

  11. On a Stochastic Parabolic Integral Equation

    • Wolfgang Desch, Stig-Olof Londen
    Pages 157-169

  12. Resolvent Estimates for a Perturbed Oseen Problem

    • Paul Deuring
    Pages 171-186

  13. Abstract Delay Equations Inspired by Population Dynamics

    • Odo Diekmann, Mats Gyllenberg
    Pages 187-200

  14. Weak Stability for Orbits of C 0-semigroups on Banach Spaces

    • Tanja Eisner, Bálint Farkas
    Pages 201-208

  15. Contraction Semigroups on L ∞(R)

    • Antonius F. M. ter Elst, Derek W. Robinson
    Pages 209-221

  16. On the Curve Shortening Flow with Triple Junction

    • Joachim Escher, Zhaoyong Feng
    Pages 223-238

  17. The Dual Mixed Finite Element Method for the Heat Diffusion Equation in a Polygonal Domain, I

    • Mohamed Farhloul, Réda Korikache, Luc Paquet
    Pages 239-256

  18. Maximal Regularity of the Stokes Operator in General Unbounded Domains of ℝn

    • Reinhard Farwig, Hideo Kozono, Hermann Sohr
    Pages 257-272

  19. Linear Control Systems in Sequence Spaces

    • Hector O. Fattorini
    Pages 273-290

  20. On the Motion of Several Rigid Bodies in a Viscous Multipolar Fluid

    • Eduard Feireisl, Šárka Nečasová
    Pages 291-305
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Keywords

About this book

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. 

Editors and Affiliations

  • Institut für Mathematik, Universität Zürich, Zürich, Switzerland

    Herbert Amann

  • Abteilung Angewandte Analysis, Universität Ulm, Ulm, Germany

    Wolfgang Arendt

  • Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt, Germany

    Matthias Hieber

  • Department of Mathematics, Louisiana State University, Baton Rouge, USA

    Frank M. Neubrander

  • Université de Valenciennes et du Hainaut Cambrésis, Valenciennes Cedex 9, France

    Serge Nicaise

  • Laboratoire de Mathématiques Pures et Appliquées — LMPA “Joseph Liouville”, Université du Littoral-Côte d’Opale, Calais Cedex, France

    Joachim Below

Bibliographic Information

  • Book Title: Functional Analysis and Evolution Equations

  • Book Subtitle: The Günter Lumer Volume

  • Editors: Herbert Amann, Wolfgang Arendt, Matthias Hieber, Frank M. Neubrander, Serge Nicaise, Joachim Below

  • DOI: https://doi.org/10.1007/978-3-7643-7794-6

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2008

  • Hardcover ISBN: 978-3-7643-7793-9Published: 17 December 2007

  • eBook ISBN: 978-3-7643-7794-6Published: 28 February 2008

  • Edition Number: 1

  • Number of Pages: XVII, 637

  • Topics: Partial Differential Equations

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