Existence and properties of solutions of the very fast diffusion equation
主 题: Existence and properties of solutions of the very fast diffusion equation
报告人: Prof. Kin Ming Hui (Institute of Mathematics, Academia Sinica, Taiwan)
时 间: 2009-10-14 下午15:30 - 16:30
地 点: 理科一号楼 1490
In this talk we will prove the existence and various properties of the very fast diffusion equation
$u_t=\phi_m(u)_{xx}$ in bounded and unbounded domain
where $\phi_m(u)=u^m/m$ for $m<0$ and $\phi_m(u)=\log u$
for $m=0$.