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Blow-up solutions and global solutions for nonlinear parabolic equations with mixed boundary conditions

✍ Scribed by Hailiang Zhang


Book ID
107619912
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
297 KB
Volume
32
Category
Article
ISSN
1598-5865

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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