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Nonlinear Elliptic and Parabolic Problems

A Special Tribute to the Work of Herbert Amann

  • Book
  • © 2005

Overview

Editors:
  1. Haim Brezis

    1. Universitá Pierre et Marie Curie, Paris
      Rutgers University, New Brunswick

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    You can also search for this editor in PubMed   Google Scholar

  2. Michel Chipot

    1. Angewandte Mathematik, Universität Zurich, Zürich, Switzerland

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    You can also search for this editor in PubMed   Google Scholar

  3. Joachim Escher

    1. Institute of Applied Mathematics, University of Hannover, Hannover, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • Represents recent research in nonlinear analysis
  • Brings together leading experts in the field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 64)

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Table of contents (32 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Bounded Imaginary Powers and H∞-Calculus of the Stokes Operator in Unbounded Domains

    • H. Abels
    Pages 1-15

  3. Exact Estimates of Solutions to the Robin Boundary Value Problem for Elliptic Non-divergent Second-order Equations in a Neighborhood of the Boundary Conical Point

    • M. Borsuk, A. Zawadzka
    Pages 17-35

  4. Well-posedness of a Two-phase Flow with Soluble Surfactant

    • D. Bothe, J. Prüss, G. Simonett
    Pages 37-61

  5. Resolvent Differences for General Obstacles

    • J. Brasche, M. Demuth
    Pages 63-70

  6. Special Finite Time Extinction in Nonlinear Evolution Systems: Dynamic Boundary Conditions and Coulomb Friction Type Problems

    • J.I. Díaz
    Pages 71-97

  7. Spectral Projections, Riesz Transforms and H∞-calculus for Bisectorial Operators

    • Markus Duelli, Lutz Weis
    Pages 99-112

  8. Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data

    • Reinhard Farwig, Giovanni P. Galdi, Hermann Sohr
    Pages 113-136

  9. Grow-up on the Boundary for a Semilinear Parabolic Problem

    • M. Fila, J.J.L. Velázquez, M. Winkler
    Pages 137-150

  10. Existence and Uniqueness Results for Reaction-diffusion Processes of Electrically Charged Species

    • H. Gajewski, I.V. Skrypnik
    Pages 151-188

  11. An Inverse Problem for a Phase-field Model in Sobolev Spaces

    • F. Colombo, D. Guidetti
    Pages 189-210

  12. Numerical Analysis of Microstructures: The Influence of Incompatibility

    • O. Anza Hafsa, M. Chipot
    Pages 211-225

  13. Nonlinear Singular Elliptic Problems: Recent Results and Open Problems

    • Jesuú Hernaánandez, Francisco J. Mancebo, José M. Vega
    Pages 227-242

  14. The Navier-Stokes Flow in the Exterior of Rotating Obstacles

    • Matthias Hieber
    Pages 243-250

  15. A Global Bifurcation Result for Variational Inequalities

    • Milan Kučcera, Jan Eisner, Lutz Recke
    Pages 253-264

  16. On Elliptic Non-divergence Operators with Measurable Coefficients

    • Peer Christian Kunstmann
    Pages 265-272

  17. A Chemotaxis Model with Threshold Density and Degenerate Diffusion

    • Philippe Laurençot, Dariusz Wrzosek
    Pages 273-290

  18. In the blink of an Eye

    • Julián López-Gómez, Marcela Molina-Meyer
    Pages 291-327

  19. Generalized Minimal Cardinal of the λ-slices of the Semi-bounded Components Arising in Global Bifurcation Theory

    • Julián López-Gómez, Carlos Mora-Corral
    Pages 329-349

  20. Blow-up of Solutions of a Semilinear Heat Equation with a Visco-elastic Term

    • Salim A. Messaoudi
    Pages 351-356
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Keywords

About this book

The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann.
The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. Special topics are fluid dynamics, reaction-diffusion systems, bifurcation theory, maximal regularity, evolution equations, and the theory of function spaces.

Reviews

From the reviews:

“This book is a collection of 32 articles and is meant as a special tribute to the work of H. Amann of the University Zuerich on the occasion of his retirement. It is an interesting mix at the boundary between pure and applied mathematics. … This is an interesting collection, since it contains papers which one does not see if one is not a specialist and therefore gives a motivating fresh look on certain subjects.” (M. Hofmann-Ostenhof, Monatshefte für Mathematik, Vol. 152 (1), September, 2007)

Editors and Affiliations

  • Universitá Pierre et Marie Curie, Paris

    Haim Brezis

  • Rutgers University, New Brunswick

    Haim Brezis

  • Angewandte Mathematik, Universität Zurich, Zürich, Switzerland

    Michel Chipot

  • Institute of Applied Mathematics, University of Hannover, Hannover, Germany

    Joachim Escher

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