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Global and blow-up solutions for nonlinear parabolic equations with Robin boundary conditions

✍ Scribed by Ding, Juntang


Book ID
123343773
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
414 KB
Volume
65
Category
Article
ISSN
0898-1221

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In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =βˆ‡(a(u)βˆ‡u) + f(x; u; q; t) (q = |βˆ‡u| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio