On the some equations inequalities in Musielak-Orlicz spaces with measure data

• Ouidad Azraibi ^[2] ; Mohamed Bourahma ^[2] ; M. Mekkour ^[2] ; Arij Bouzelmate ^[1] ; Badr El Haji ^[1]
  1. [1] Abdelmalek Essaâdi University

     Abdelmalek Essaâdi University

     Marruecos

     
  2. [2] Sidi Mohammed Ben Abdallah University
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 57, Nº. 1, 2023, págs. 123-154
• Idioma: varios idiomas
• Títulos paralelos:
  • Desigualdades de ecuaciones sobre espacios Musielak-Orlicz con condiciones iniciales medibles
• Enlaces
  • Texto completo
• Resumen
  • español

    El objetivo de este trabajo es probar la existencia de soluciones para problemas parabólicos unilaterales asociados a la ecuación ∂u - div a(x, t, u, ∇u) - div Φ(x, t, u) = μ in QT = Ω × (0, T), ∂t donde el término Φ satisface una condición natural generalizada de crecimiento y la condición μ pertenece al espacio L1(Q) + E (Q).

  • Multiple

    Our aim in this present work is to prove the existence of a solution for the nonlinear unilateral parabolic problems associated to the equation ∂u - div a(x, t, u, ∇u) - div Φ(x, t, u) = μ in QT = Ω × (0, T), ∂t where the lower order term Φ satisfies a generalized natural growth condition and the datum μ belongs to L1(Q) + E (Q).

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