| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9495903 | Journal of Functional Analysis | 2005 | 14 Pages |
Abstract
The present paper is concerned with a Cauchy problem for a semilinear heat equation (P)ut=Îu+upin RNÃ(0,â),u(x,0)=u0(x)⩾0in RN.We show that if p>N-2N-1N-4-2N-1 and N⩾11, then there exists a solution ui(i=1,2,3) of (P) which blows up at t=Ti<+â, becomes a regular solution for all t>Ti and behaves as follows:
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Noriko Mizoguchi,