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J. Filo and P. D. Mottoni, “Global Existence and Decay of Solutions of the Porous Medium Equation with Nonlinear Boundary Conditions,” Communications in Partial Differential Equations, Vol. 17, No. 5-6, 1992, pp. 737-765. doi:10.1080/03605309208820862

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.