Study of 2m-th order parabolic equation in non-symmetric conical domains

Year 2020, Volume: 49 Issue: 1, 180 - 194, 06.02.2020

Saida Cherfaoui Amor Kessab Arezki Kheloufi

https://doi.org/10.15672/hujms.546340

Cited By: 1

Abstract

This article is devoted to the study of a $N$-space dimensional linear high-order parabolic equation, subject to Cauchy-Dirichlet boundary conditions. The problem is set in a non-symmetric conical domain. The analysis is performed in the framework of weighted anisotropic Sobolev spaces by using the domain decomposition method.

Keywords

High-order parabolic equations, conical domains, anisotropic weighted Sobolev spaces

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