报告题目【On Kirchhoff-type evolution problems involving the fractional Laplacian】
时间：2019年03月10日(星期日)15:00
地点：旗山校区理工北楼601报告厅
主讲：黑龙江工程学院副教授，张彬林
主办：数学与信息学院, 福建省分析数学及应用重点实验室, 数学研究中心
参加对象：感兴趣的老师和学生
报告人简介：黑龙江工程学院数学系副教授，应用数学研究所所长，哈尔滨工业大学基础数学博士，意大利地中海研究中心博士后，南开大学陈省身数学研究所博士后，哈尔滨工程大学兼职博士生导师。
报告摘要：In this talk, we first discuss a diffusion model of Kirchhoff-type driven by fractional Laplace operator. Under some appropriate conditions, the local existence of nonnegative solutions is obtained by employing the Galerkin method. Then, by means of a differential inequality technique, we prove that the local nonnegative solutions blow up in finite time with arbitrary negative initial energy and suitable initial values. Moreover, we give an estimate for the lower and upper bounds of the blow-up time. The main feature of our problems is that the Kirchhoff function could be zero at zero. Finally, we present some recent results for some degenerate Kirchhoff-type evolution problems involving the fractional Laplacian.
