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

Authors : Saida CHERFAOUİ, Amor KESSAB, Arezki KHELOUFİ

Pages : 180-194

Doi:10.15672/hujms.546340

View : 18 | Download : 4

Publication Date : 2020-02-06

Article Type : Research Paper

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