Asymptotic Behavior in Degenerate Parabolic Fully Nonlinear equations and its application to Elliptic Eigenvalue Problems

Soojung Kim, Ki-ahm Lee

We study the asymptotic behavior of the nonlinear parabolic flows $u_t=F(D^2{u}^m)$ when $t\ra \infty$ for $m\ge 1$, and the geometric properties for solutions of the following e…