TITLE:
Existence and Nonexistence of Global Solutions of a Fully Nonlinear Parabolic Equation
AUTHORS:
Zhihao Ge
KEYWORDS:
Nonlinear Parabolic Equation; Blow Up; Convexity Method
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.1,
January
21,
2013
ABSTRACT: In the paper, we study the global existence of weak solution of the fully nonlinear parabolic problem (1.1)-(1.3) with nonlinear boundary conditions for the situation without strong absorption terms. Also, we consider the blow up of global solution of the problem (1.1)-(1.3) by using the convexity method.