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

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-4457

Keywords:

Strongly nonlinear parabolic equations, Variable exponents, Weak solution, Existence

Abstract

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.

Author Biographies

Mustapha Ait Hammou, University Sidi Mohamed Ben Abdellah.

Laboratory Lama, Department of Mathematics.

Elhoussine Azroul, Sidi Mohamed Ben Abdellah University.

Laboratory Lama, Department of Mathematics.

Badr Lahmi, Moulay Ismail University.

Laboratory LMI, Department of Mathematics.

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Published

2022-01-28

How to Cite

[1]
M. Ait Hammou, E. Azroul, and B. Lahmi, “An existence result for a strongly nonlinear parabolic equations with variable nonlinearity”, Proyecciones (Antofagasta, On line), vol. 41, no. 1, pp. 111-135, Jan. 2022.

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