Blow-up in Nonlinear Heat Equations
偏微分方程分析
2007-05-23 v2 数学物理
math.MP
摘要
We study the blow-up problem of one-dimensional nonlinear heat equations. Our result shows that for a certain class of initial conditions, the solutions blow up in finite time and we characterize the asymptotic dynamics of these solutions. The approach is analogous to one used in bifurcation theory and our techniques can be regarded as a time-dependent version of the Lyapunov-Schmidt decomposition.
引用
@article{arxiv.math/0609161,
title = {Blow-up in Nonlinear Heat Equations},
author = {S. Dejak and Zhou Gang and I. M. Sigal and S. Wang},
journal= {arXiv preprint arXiv:math/0609161},
year = {2007}
}
备注
41 pages