Blow-up of solutions for a class of semilinear reaction diffusion equations with mixed boundary conditions
β Scribed by Juntang Ding
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 224 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
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
0 with the Dirichlet, Neumann, or periodic boundary condition. Here ) 0 is a Ε½ . parameter, and f is an odd function of u satisfying f Π 0 ) 0 and some convexity Ε½ . w x condition. Let z U be the number of times of sign changes for U g C 0, 1 . It is Γ 4 shown that there exists an increasing sequenc
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