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On the some equations inequalities in Musielak-Orlicz spaces with measure data
Desigualdades de ecuaciones sobre espacios Musielak-Orlicz con condiciones iniciales medibles
DOI :
https://doi.org/10.15446/recolma.v57n1.112431Mots-clés :
Musielak-Orlicz-Sobolev spaces, Unilateral parabolic problem, entropy solutions, truncations (en)Espacios de Musielak-Orlicz-Sobolev, problemas parabólicos unilaterales, soluciones de entropía (es)
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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), ∂twhere the lower order term Φ satisfies a generalized natural growth condition and the datum μ belongs to L1(Q) + E (Q).
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), ∂tdonde el término Φ satisface una condición natural generalizada de crecimiento y la condición μ pertenece al espacio L1(Q) + E (Q).
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