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Blow-up solutions and global solutions for nonlinear parabolic problems

โœ Scribed by Hailiang Zhang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
409 KB
Volume
69
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Global and blow-up solutions for non-lin
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## Abstract In this paper the degenerate parabolic system __u__~__t__~=__u__(__u__~__xx__~+__av__). __vt__=__v__(__v__~__xx__~+__bu__) with Dirichlet boundary condition is studied. For $a. b {<} \lambda\_{1} (\sqrt {ab} {<} \lambda\_{1} {\rm if}\, \alpha\_{1} {\neq} \alpha\_{2})$, the global existe

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We consider the blow-up of solutions of equations of the form by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur as well as a criterion for blow-up and conditions which ensure that blow-up cannot occur.