Blow-up solutions and global solutions for nonlinear parabolic equations with mixed boundary conditions
β 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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π SIMILAR VOLUMES
The type of problem under consideration is where D is a smooth bounded domain of R N, By constructing an auxiliary function and using Hopf's maximum principles on it, existence theorems of blow-up solutions, upper bound of "blow-up time", upper estimates of "blow-up rate", existence theorems of glo
In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =β(a(u)βu) + f(x; u; q; t) (q = |βu| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio