𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A regularity result for a quasilinear equation and its consequences for blowing-up solutions of semilinear heat equations

✍ Scribed by Hamid Bellout

Book ID
107792254
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
372 KB
Volume
100
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the regularity of the blow-up set for
On the regularity of the blow-up set for semilinear heat equations
✍ Hatem Zaag πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 293 KB

We consider u(x, t) a blow-up solution of u t = u + |u| p-1 u where u : R N Γ— [0, T ) β†’ R, p > 1, (N -2)p < N + 2 and either u(0) 0 or (3N -4)p < 3N + 8. The blow-up set S βŠ‚ R N of u is the set of all blow-up points. Under a nondegeneracy condition, we show that if S is continuous, then it is a C 1

Blow-Up of Solutions with Sign Changes f
Blow-Up of Solutions with Sign Changes for a Semilinear Diffusion Equation
✍ 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