主讲人简介：Michael Reissig is a professor at the Technische Universität Bergakademie Freiberg in Germany. His research field includes functional analysis, partial differential equations and its applications.

内容摘要：In this talk we will discuss the Cauchy problem for semi-linear evolution models with source nonlinearities of power type. The source nonlinearity allows, in general, the proof of global (in time) existence results for small data only. We discuss the question for critical exponents dividing the range of admissible exponents into a subset allows global (in time) existence results and a subset which implies blow-up phenomena (even) for small data. In the lecture we introduce recent results and explain different methods to attack different evolution models. At the end of the talk we propose some open problems.

主持人：秦玉明

报告语言：英语