Applied Analysis

Seminar information archive ~07/20Next seminarFuture seminars 07/21~

Date, time & place Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.)

2010/02/18

16:00-17:30   Room #002 (Graduate School of Math. Sci. Bldg.)
Bendong LOU (同済大学)
Homogenization limit of a parabolic equation with nonlinear boundary conditions
[ Abstract ]
We consider a quasilinear parabolic equation with the following nonlinear Neumann boundary condition:
"the slope of the solution on the boundary is a function $g$ of the value of the solution". Here $g$ takes values near its supremum with the frequency of $\\epsilon$. We show that the homogenization limit of the solution, as $\\epsilon$ tends to 0, is the solution satisfying the linear Neumann boundary condition: "the slope of the solution on the boundary is the supremum of $g$".