K. Taira, “Semi-Linear Parabolic Problems in Combustion Theory,” Journal of Mathematical Sciences—The University of Tokyo, Vol. 10, No. 3, 2003, pp. 455-494.
has been cited by the following article:
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.