期刊论文详细信息
Boletim da Sociedade Paranaense de Matemática | |
Blow-up directions at space infinity for solutions of semilinear heat equations | |
关键词: nonlinear heat equation; blow-up at space infinity; blow-up direction.; | |
DOI : | |
来源: DOAJ |
【 摘 要 】
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 to infinity. It is shown that the solution blows up only at space infinity. A notion of blow-up direction is introduced. A characterization for blow-up direction is also established.
【 授权许可】
Unknown