Regular self-similar solutions of the no
โ
Philippe Souplet; Fred B Weissler
๐
Article
๐
2003
๐
Elsevier Science
๐
English
โ 190 KB
We prove the existence of positive regular solutions of the Cauchy problem for the nonlinear heat equation u t = u + |u| ฮฑ u, with initial value ยตV , for all ยต > 1 close enough to 1, where V is the singular stationary solution in R N . This result is obtained when N > 2 and 2 N-2 < ฮฑ < ฮฑ \* , where