On convergence of solutions to equilibria for quasilinear parabolic problems |
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| Authors: | Jan Prüss Rico Zacher |
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| Institution: | a Martin-Luther-Universität Halle-Wittenberg, Institut für Mathematik, Theodor-Lieser-Strasse 5, D-06120 Halle, Germany
b Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA |
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| Abstract: | We show convergence of solutions to equilibria for quasilinear parabolic evolution equations in situations where the set of equilibria is non-discrete, but forms a finite-dimensional C1-manifold which is normally hyperbolic. Our results do not depend on the presence of an appropriate Lyapunov functional as in the ?ojasiewicz-Simon approach, but are of local nature. |
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| Keywords: | 34G20 35K55 35B35 37D10 35R35 |
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