(1) Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China;(2) Department of Mathematics, Fudan University, Shanghai, 200433, P. R. China
Abstract:
Abstract In this paper we consider the existence and asymptotic estimates of global solutions and finite time blowup of local solutions of quasilinear parabolic equation with critical Sobolev exponent and with lower energy initial value; we also describe the asymptotic behavior of global solutions with high energy initial value. Supported by NSF (No: 10171083 and 10371021) of China and Laboratory of Mathematics for Nonlinear Sciences of Fudan University
