By means of energy and entropy estimates, we prove existence and positivity results in higher space dimensions for degenerate parabolic equations of fourth order with nonnegative initial values. We discuss their asymptotic behavior for t --> infinity and give a counterexample to uniqueness.
DAL PASSO, R., Garcke, H., Grun, G. (1998). On a fourth-order degenerate parabolic equation: global entropy estimates, existence, and qualitative behavior of solutions. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 29(2), 321-342.
On a fourth-order degenerate parabolic equation: global entropy estimates, existence, and qualitative behavior of solutions
DAL PASSO, ROBERTA;
1998-01-01
Abstract
By means of energy and entropy estimates, we prove existence and positivity results in higher space dimensions for degenerate parabolic equations of fourth order with nonnegative initial values. We discuss their asymptotic behavior for t --> infinity and give a counterexample to uniqueness.File in questo prodotto:
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