Global (in time) existence versus blow-up phenomena

时间:2020.11.30 16:00-16:45

地点:腾讯会议 266 913 264

主讲人:Michael Reissig




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.


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.