Blow-up directions at space infinity for solutions of semilinear heat equations
A blowing up solution of the semilinear heat equation u_t = Delta u +f(u) with f satisfying liminf f(u)/u^p > 0 for some p > 1 is considered when initial data u_0 satifies u_0 leq M, u_0 e M and lim_{ightarrow infty} inf_{x in B_m} u_0(x) = M with sequence of ball {B_m} whose radius diverging...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Sociedade Brasileira de Matemática
2005-11-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Subjects: | |
Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7450/4285 |