An existence result for a strongly nonlinear parabolic equations with variable nonlinearity

• Ait Hammou, Mustapha ^[2] ; Azroul, Elhoussine ^[1] ; Lahmi, Badr ^[3]
  1. [1] Sidi Mohamed Ben Abdellah University

     Sidi Mohamed Ben Abdellah University

     Fes-Medina, Marruecos

     
  2. [2] University Sidi Mohamed Ben Abdellah.
  3. [3] Moulay Ismail University.

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 1, 2022, págs. 111-135
• Idioma: inglés
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• Resumen

  • We prove the existence of a solution for the strongly nonlinear parabolic initial boundary value problem associated to the equation ut − div a(x, t, ∇u) + g(x, t, u, ∇u) = f, where the vector field a(x, t, ξ) exhibits non-standard growth conditions.