Celebrating the work of a renowned mathematician, it is our pleasure to present this volume containing the proceedings of the conference “Nonlinear Elliptic and Parabolic Problems: A Special Tribute to the Work of Herbert Amann”, held in Zurich, June 28–30, 2004. Herbert Amann had a signi?cant and decisive impact in developing N- linear Analysis and one goal of this conference was to re?ect his broad scienti?c interest. It is our hope that this collection of papers gives the reader some idea of the subjects in which Herbert Amann had and still has a deep in?uence. Of particular importance are ?uid dynamics, reaction-di?usion systems, bifurcation theory,maximalregularity,evolutionequations,andthe theory offunction spaces. The organizers thank the following institutions for provided support for the conference: • Swiss National Foundation • Z¨ urcher Hochschulstiftung • Z¨ urcher Universit¨ atsverein • Mathematisch-naturwissenschaftliche Fakult¨ at (MNF). Finally,itisourpleasuretothankallcontributors,referees,andBirkh¨ auserVerlag, particularly T. Hemp?ing for their help and cooperation in making possible this volume.
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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.
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