𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Blow-up of solutions for a class of semilinear reaction diffusion equations with mixed boundary conditions

✍ Scribed by Juntang Ding


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
224 KB
Volume
15
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Blow-up solutions for a class of nonline
✍ Juntang Ding πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 119 KB

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

Blow-Up of Solutions with Sign Changes f
✍ Noriko Mizoguchi; Eiji Yanagida πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 117 KB

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 Ј 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

Blow-up solutions and global solutions f
✍ Juntang Ding; Shengjia Li πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 506 KB

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