论文信息 - An L∞ bound for solutions of the Cahn-Hilliard equation

An L∞ bound for solutions of the Cahn-Hilliard equation

AbstractIn this paper we consider the equation $$\partial _t u^\varepsilon = \Delta u^\varepsilon + \sum\limits_{i,j = 1}^n {\partial _{ij} f_{ij} (} u^\varepsilon ,x) - \varepsilon ^2 \Delta ^2 u^\varepsilon $$ with fij constant when uε is large, and we obtain L∞ bounds independent of ɛ > 0.

Luis A. Caffarelli | L. Caffarelli | N. Muler | Nora E. Muler

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