p-Biharmonic Pseudo-Parabolic Equation with Logarithmic Non linearity

• Autores: Sushmitha Jayachandran, Gnanavel Soundararajan
• Localización: 3 c TIC: cuadernos de desarrollo aplicados a las TIC, ISSN-e 2254-6529, Vol. 11, Nº. 2, 2022, págs. 108-122
• Idioma: inglés
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• Resumen

  • 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.