On a Fourth-order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
نویسندگان
چکیده
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 → ∞ and give a counterexample to uniqueness.
منابع مشابه
On a Fourth Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence and Qualitative Behaviour of Solutions
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 behaviour for t ! 1 and give a counterexample to uniqueness. 0. Introduction In this paper we will present new results on existence, (non)uniqueness, positivity and asymptoti...
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تاریخ انتشار 1998