๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Blowup behavior for a nonlinear parabolic equation of nondivergence form

โœ Scribed by Jong-Shenq Guo; Bei Hu

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
211 KB
Volume
61
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

A Liouville theorem and blowup behavior
A Liouville theorem and blowup behavior for a vector-valued nonlinear heat equation with no gradient structure
โœ Hatem Zaag ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 178 KB ๐Ÿ‘ 1 views

We prove a Liouville theorem for the following heat system whose nonlinearity has no gradient structure: where pq > 1, p โ‰ฅ 1, q โ‰ฅ 1, and | p -q| small. We then deduce a localization property and uniform L โˆž estimates of blowup solutions of this system.

Critical Exponents for the Blowup of Sol
Critical Exponents for the Blowup of Solutions with Sign Changes in a Semilinear Parabolic Equation, II
โœ Noriko Mizoguchi; Eiji Yanagida ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 353 KB

The blowup of solutions of the Cauchy problem { u t =u xx + |u| p&1 u u(x, 0)=u 0 (x) in R\\_(0, ), in R is studied. Let 4 k be the set of functions on R which change sign k times. It is shown that for p k =1+2ร‚(k+1), k=0, 1, 2, ... , any solution with u 0 # 4 k blows up in finite time if 1 p k . T