Application of homogenization and large deviations to a nonlocal parabolic semi-linear equation

Alioune Coulibaly

doi:10.26637/mjm11S/005

Abstract

We study the behavior of the solution for a class of nonlocal partial differential equation of parabolic-type with non-constant coefficients varying over length scale δ and nonlinear reaction term of scale 1/ε, related to stochastic differential equations driven by multiplicative isotropic α-stable Lévy noise (1 < α < 2). The behavior is required as ε tends to 0 with δ small compared to ε. Our homogenization method

Keywords:

Homogenization, Large deviation principle, nonlocal parabolic PDE, SDE with jumps, Feynman-Kac formula

Mathematics Subject Classification:

60H30, 60H10, 35B27, 35R09

Authors Imprint References Funding Related Articles Downloads

Alioune Coulibaly Université Amadou Mahtar MBOW de Dakar, Diamniadio, BP 45927 Dakar NAFA-Sénégal. https://orcid.org/0000-0002-9405-8849

Pages: 70-81
Date Published: 01-10-2023
Vol. 11 No. S (2023): Malaya Journal of Matematik (MJM): Special Issue Dedicated to Professor Gaston M. N'Guérékata’s 70th Birthday

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