Title: Convergence of bounded solutions of some parabolic equations
Speaker: Bendong Lou (Shanghai Normal University)
Time: Thursday, April 18, 2024, 09:30-11:30
Location:Tencent Meeting,Meeting ID:331 560 520 , Password:190101
Abstract:Quasiconvergence and convergence results are expected in the study of parabolic equations. I will introduce some general convergence results for bounded solutions of one-dimensional parabolic equations in unbounded domains. The equations include RDEs in $\mathbb{R}$; RDEs with free boundaries in $\mathbb{R}$; Quasilinear parabolic equations in $\mathbb{R}$; Porous media equations in $\mathbb{R}$; RDEs in symmetric graphs, etc. Using these general convergence results one can give precise description on the asymptotic behavior of the solutions of monostable, bistable REDs.