Asymptotic behavior of parabolic nonlocal equations in cylinders becoming unbounded

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2023

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Springer

Abstract

The goal of this paper is to discuss the asymptotic behavior of weak solutions to a class of parabolic equations involving fractional Laplacian in cylindrical domains becoming unbounded in one direction. The results presented in this paper are new and extend some main results in the literature for local and nonlocal elliptic problems with Dirichlet boundary condition

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Fractional Laplacian, Parabolic equations involving, Dirichlet boundary condition

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