Life Span of Solutions for a Semilinear Heat Equation with Initial Data Non-Rarefied at $\infty$

Zhiyong Wang; Jingxue Yin

Life Span of Solutions for a Semilinear Heat Equation with Initial Data Non-Rarefied at $\infty$

Analysis of PDEs 2015-01-14 v1

Authors: Zhiyong Wang , Jingxue Yin

Abstract

We study the Cauchy problem for a semilinear heat equation with initial data non-rarefied at $\infty$ . Our interest lies in the discussion of the effect of the non-rarefied factors on the life span of solutions, and some sharp estimates on the life span is established.

Keywords

semilinear heat equation cauchy problem initial data non-rarefied life span sharp estimates

Cite

@article{arxiv.1501.02856,
  title  = {Life Span of Solutions for a Semilinear Heat Equation with Initial Data Non-Rarefied at $\infty$},
  author = {Zhiyong Wang and Jingxue Yin},
  journal= {arXiv preprint arXiv:1501.02856},
  year   = {2015}
}

Comments

15 pages

Related papers

View all related →