p-Biharmonic Pseudo-Parabolic Equation with Logarithmic Non linearity

p-Biharmonic Pseudo-Parabolic Equation with Logarithmic Non linearity

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Publicado en 3C TIC – Volume 11 Issue 2 (Ed. 41)

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Abstract

This paper deals with the existence of solutions of a p-biharmonic pseudo parabolic partial differential equation with logarithmic nonlinearity in a bounded domain. We prove the global existence of the weak solutions using the Faedo-Galerkin method and applying the concavity approach, that the solutions blow up at a finite time. Further, we provide a maximal limit for the blow-up time.

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Keywords

p-Biharmonic, pseudo-parabolic, global existence, blow up

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