Title: Using Feynman-Kac for systems of non-linear reaction-diffusion equations
Abstract: Almost 50 years ago, Murray Bramson has shown how the use of the Feynman-Kac representation for linear pdes can also give very precise results on the analysis of non-linear pdes, notably the F-KPP equation. In this talk I will discuss the possibility to uses Feynman-Kac also for systems of coupled F-KPP equations. In a particular case I will show that this can not only nice results on the behaviour of wave speeds, but also very intuitive explanations. I will also discuss some ongoing work and open problems. This is joint work with Lisa Hartung.
About the speaker: https://wt.iam.uni-bonn.de/bovier/home/
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