International Journal of Analysis and Applications (Apr 2014)

Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition

  • Iftikhar Ahmed,
  • Chunlai Mu,
  • Pan Zheng

Journal volume & issue
Vol. 5, no. 2
pp. 147 – 153

Abstract

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This paper deals with the evolution r-Laplacian equation with absorption and nonlinear boundary condition. By using differential inequality techniques, global existence and blow-up criteria of nonnegative solutions are determined. Moreover, upper bound of the blow-up time for the blow-up solution is obtained.