Nonlinear Elliptic and Parabolic Problems

1. Front Matter

   Pages I-X

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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

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.

• Boundary value problem
• Calculus of variations
• Functional analysis
• Navier-Stokes equation
• Navier-Stokes equations
• Numerical analysis
• Partial differential equations
• Sobolev space
• finite element method
• fluid dynamics
• fluid- and aerodynamics

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)

• 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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