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  • © 2008

Functional Analysis and Evolution Equations

The Günter Lumer Volume

Birkhäuser
  • 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
  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. 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
  7. Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities

    • Lorenzo D’Ambrosio, Enzo Mitidieri
    Pages 147-155
  8. On a Stochastic Parabolic Integral Equation

    • Wolfgang Desch, Stig-Olof Londen
    Pages 157-169
  9. Abstract Delay Equations Inspired by Population Dynamics

    • Odo Diekmann, Mats Gyllenberg
    Pages 187-200
  10. Weak Stability for Orbits of C 0-semigroups on Banach Spaces

    • Tanja Eisner, Bálint Farkas
    Pages 201-208
  11. Contraction Semigroups on L (R)

    • Antonius F. M. ter Elst, Derek W. Robinson
    Pages 209-221
  12. On the Curve Shortening Flow with Triple Junction

    • Joachim Escher, Zhaoyong Feng
    Pages 223-238
  13. 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
  14. Maximal Regularity of the Stokes Operator in General Unbounded Domains of ℝn

    • Reinhard Farwig, Hideo Kozono, Hermann Sohr
    Pages 257-272
  15. Linear Control Systems in Sequence Spaces

    • Hector O. Fattorini
    Pages 273-290
  16. On the Motion of Several Rigid Bodies in a Viscous Multipolar Fluid

    • Eduard Feireisl, Šárka Nečasová
    Pages 291-305

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

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access