学 术 报 告

报告题目：Blow-up problem for parabolic equations with nonlocal boundary conditions

报告人：Alexander. Gladkov教授（白俄罗斯国立大学（明斯克））

报告校内联系人：李风泉

联系方式：15164005929

报告时间：2019年4月10日（星期三）上午10：00-11：00

报告地点：创新园大厦A1101

报告摘要：We will consider parabolic equations and systems of parabolic equations with time-depend coefficients and nonlinear nonlocal boundary conditions and nonnegative initial data. We prove global existence result and give some criteria on this problems which determine whether the solutions blow up in finite time for large or for all nontrivial initial data. The results depend on the behavior of variable coefficients ast goes to infty.For some problems we show that under certain conditions blow-up occurs only on the boundary.

报告人简介：Alexander. Gladkov,白俄罗斯国立大学数学系主任、教授。

主要研究方向：非线性椭圆方程、抛物方程和常微分方程。

数学科学学院

2019年4月7日