Existence of Solutions to a Class of Doubly Degenerate Equations and Blow up with Vanishing Initial Energy |
Received:October 26, 2005 Revised:January 18, 2006 |
Key Words:
doubly degenerate boundary value problem blow-up.
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Fund Project:the National Natural Science Foundation of China (10371050) |
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Abstract: |
An initial boundary value problem related to the equation $$u_t-{\rm div}(|\nabla u^m|^{p-2}\nabla u^m)=f(u)$$ is studied in this paper. We prove, under suitable conditions on $f$, a blow up result for solutions with vanishing or negative initial energy. The existence of solutions is also given. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2007.01.021 |
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