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Journal Articles Mediterranean Journal of Mathematics Year : 2020

Existence Results to a Class of Nonlinear Parabolic Systems Involving Potential and Gradient Terms

Abstract

In this paper, we investigate the existence of solutions to a nonlinear parabolic system, which couples a non-homogeneous reaction-diffusion-type equation and a non-homogeneous viscous Hamilton-Jacobi one. The initial data and right-hand sides satisfy suitable integrability conditions and non-negative. In order to simplify the presentation of our results, we will consider separately two simplified models : first, vanishing initial data, and then, vanishing right-hand sides.
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Dates and versions

hal-03277486 , version 1 (03-07-2021)

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B. Abdellaoui, A. Attar, R. Bentifour, El Haj Laamri. Existence Results to a Class of Nonlinear Parabolic Systems Involving Potential and Gradient Terms. Mediterranean Journal of Mathematics, 2020, 17 (4), pp.119. ⟨10.1007/s00009-020-01542-2⟩. ⟨hal-03277486⟩
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