Title：Center manifolds for rough evolution equations

Abstract：In this talk, we consider a class of evolution equations driven by finite-dimensional $\gamma$-H\"{o}lder rough paths, where $\gamma\in(1/3,1/2]$. We obtain the global-in-time solutions of rough evolution equations(REEs), also the solution generates random dynamical system. Meanwhile, we derive the existence of local center manifolds for such equations by a suitably discretized Lyapunov-Perron method.

Speaker：Hong Jun，Gao；School of Mathematics, Southeast University

Date：9:00am-10:00am 2021-12-11.

Tencent Meeting ID： 397819539

Organizer：School of Mathematical Sciences

Students and teachers who are interested are welcome.