BLOW UP OF SOLUTIONS OF NONLINEAR PARABOLIC SYSTEM WITH VARIABLE EXPONENTS

A. Gurusamy, L. Shangerganesh, K. Balachandran

Abstract


This paper deals with the existence of solutions and the blow up of solutions of nonlinear parabolic systems with Dirichlet boundary conditions. We prove the existence of solutions using contraction principle and we establish that the corresponding solutions blow up at a finite time using the eigenfunction argument.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)