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Solutions of some Integro-Differential problems by an anisotropic singular perturbation method

Article scientifique 2023 Anglais

Résumé

Abstract The goal of the this note is to study the existence of solutions to some integro-differential problems. Using the singular perturbations method, one can show the existence of such solutions. The perturbed problems are classical, nonlocal, non-linear parabolic problems and the existence of solutions for this problem is insured by the Schauder fixed point theorem. The limit of the solutions of the nonlocal parabolic problem are solutions of the our integro-differential problem. AMS Subject Classifications: 35K67, 35B40, 35B25, 35K55, 35K15, 45K05.

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Benaoudia, D. (2023). Solutions of some Integro-Differential problems by an anisotropic singular perturbation method. https://doi.org/10.21203/rs.3.rs-3179367/v1

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Auteur(s)

Djamila Benaoudia

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