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Partial Differential Equations and Functional Analysis

The Philippe Clément Festschrift

  • Book
  • © 2006

Overview

Editors:
  1. Erik Koelink

    1. Technische Universiteit Delft DIAM, Delft, The Netherlands

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  2. Jan Neerven

    1. Technische Universiteit Delft DIAM, Delft, The Netherlands

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  3. Ben Pagter

    1. Technische Universiteit Delft DIAM, Delft, The Netherlands

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  4. Guido Sweers

    1. Technische Universiteit Delft DIAM, Delft, The Netherlands

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  5. Annemarie Luger

    1. Institut für Analysis und Scientific Computing, Technische Universität Wien, Wien, Austria

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  6. Harald Woracek

    1. Institut für Analysis und Scientific Computing, Technische Universität Wien, Wien, Austria

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  • Festschrift honoring the Swiss mathematician Philippe Clément who is particularly known for works on partial differential equations, functional analysis and numerical analysis
  • Contains 16 peer-reviewed invited contributions by experts in the above fields
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 168)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-ix
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  2. Harnack Inequality and Applications to Solutions of Biharmonic Equations

    • Gabriella Caristi, Enzo Mitidieri
    Pages 1-26

  3. Clément Interpolation and Its Role in Adaptive Finite Element Error Control

    • Carsten Carstensen
    Pages 27-43

  4. Ergodic Properties of Reaction-diffusion Equations Perturbed by a Degenerate Multiplicative Noise

    • Sandra Cerrai
    Pages 45-59

  5. Kolmogorov Operators of Hamiltonian Systems Perturbed by Noise

    • Giuseppe Da Prato, Alessandra Lunardi
    Pages 61-71

  6. Dirichlet Forms and Degenerate Elliptic Operators

    • A. F. M. ter Elst, Derek W. Robinson, Adam Sikora, Yueping Zhu
    Pages 73-95

  7. On R-boundedness of Unions of Sets of Operators

    • Onno van Gaans
    Pages 97-111

  8. On the Equation div u = g and Bogovskii’s Operator in Sobolev Spaces of Negative Order

    • Matthias Geißert, Horst Heck, Matthias Hieber
    Pages 113-121

  9. Renormalization of Interacting Diffusions: A Program and Four Examples

    • F. den Hollander
    Pages 123-136

  10. Reduced Mihlin-Lizorkin Multiplier Theorem in Vector-valued L p Spaces

    • Tuomas P. Hytönen
    Pages 137-151

  11. Interpolation Spaces for Initial Values of Abstract Fractional Differential Equations

    • Stig-Olof Londen
    Pages 153-168

  12. Semilinear Elliptic Problems Associated with the Complex Ginzburg-Landau Equation

    • Noboru Okazawa
    Pages 169-187

  13. Operator-valued Symbols for Elliptic and Parabolic Problems on Wedges

    • Jan Prüss, Gieri Simonett
    Pages 189-208

  14. Maximal L p-regularity and Long-time Behaviour of the Non-isothermal Cahn-Hilliard Equation with Dynamic Boundary Conditions

    • Jan Prüss, Mathias Wilke
    Pages 209-236

  15. Numerical Approximation of PDEs and Clément’s Interpolation

    • Jacques Rappaz
    Pages 237-250

  16. On Prohorov’s Criterion for Projective Limits

    • Erik G. F. Thomas
    Pages 251-261

  17. The H ∞Holomorphic Functional Calculus for Sectorial Operators — a Survey

    • Lutz Weis
    Pages 263-294
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Keywords

About this book

Capturing the state of the art of the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this volume was initiated at the Delft conference on the occasion of the retirement of Philippe Clément. It will be of interest to researchers in PDEs and functional analysis.

Editors and Affiliations

  • Technische Universiteit Delft DIAM, Delft, The Netherlands

    Erik Koelink, Jan Neerven, Ben Pagter, Guido Sweers

  • Institut für Analysis und Scientific Computing, Technische Universität Wien, Wien, Austria

    Annemarie Luger, Harald Woracek

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