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

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

This article is devoted to the study of aN-space dimensional linear high-order para-bolic equation, subject to Cauchy-Dirichlet boundary conditions. The problem is set in anon-symmetric conical domain. The analysis is performed in the framework of weightedanisotropic Sobolev spaces by using the domain decomposition method.

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