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

Ahmed, Iftikhar; Mu, Chunlai; Zheng, Pan

Research Article

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

Iftikhar Ahmed¹*
Chunlai Mu¹
Pan Zheng¹

College of Mathematics and Statistics,Chongqing University, Chongqing 401331, PR China

* Corresponding author

Abstract

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.

How to Cite

I. Ahmed, C. Mu, P. Zheng, Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition, Int. J. Anal. Appl. 5 (2014), 147–153.

BibTeX

@article{Ahmed2014,
  author  = {Ahmed, Iftikhar and Mu, Chunlai and Zheng, Pan},
  title   = {Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition},
  journal = {Int. J. Anal. Appl.},
  volume  = {5},
  year    = {2014},
  pages   = {147--153},
  doi     = {}
}

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