Open AccessAn existence result for a strongly nonlinear parabolic equations with variable nonlinearity
Author(s) -
Mustapha Ait Hammou,
Elhoussine Azroul,
Badr Lahmi
Publication year - 2022
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-4457
Subject(s) - nonlinear system , mathematics , variable (mathematics) , mathematical analysis , boundary value problem , parabolic partial differential equation , field (mathematics) , physics , mathematical physics , pure mathematics , partial differential equation , quantum mechanics
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.