Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612649 | Journal of Differential Equations | 2006 | 13 Pages |
Abstract
The present paper is concerned with a Cauchy problem for a semilinear heat equationequation(P){ut=Δu+upin RN×(0,∞),u(x,0)=u0(x)⩾0in RN with p>1p>1 and u0∈L∞(RN)u0∈L∞(RN). We show that if p>N−2N−1N−4−2N−1 and N⩾11N⩾11, then for each positive integer n⩾2n⩾2 there exist Ti>0Ti>0, i=1,2,…,ni=1,2,…,n, with T1
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Noriko Mizoguchi,