P. Quittner and P. Souplet, “A Priori Estimates of Global Solutions of Superlinear Parabolic Problems without Variational Structure,” Discrete and Continuous Dynamical Systems, Vol. 9, No. 5, 2003, pp. 1277-1292. doi:10.3934/dcds.2003.9.1277

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.