Title:Life Span for a Semilinear Heat Equation with Initial Data non-Rarefied at \infty
Speaker:Jingxue Yin (South China Normal University)
Time:16:00-17:00, August9
Location:Room 201,Ming De Building
Abstract:In this talk, we discuss the life span of solutions for the heat equation with nonlinear sources. We will show that as long as the initial datum is non-rarefied at $\infinity$, the solution must blow up at finite time. Moreover, we give an delicate estimate on the life span.