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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2015 / Cilt: 5 - Sayı: 1

STUDY OF THE FIRST BOUNDARY VALUE PROBLEM FOR A FOURTH ORDER PARABOLIC EQUATION IN A NONREGULAR DOMAIN OF RN+1

Arezkı KHELOUFI

Pages
145–157
DOI
—

Abstract

This paper is concerned with the extension of solvability results obtained for a fourth order parabolic equation, set in a nonregular domain of R3 obtained in [1], to the case where the domain is cylindrical, not with respect to the time variable, but with respect to N space variables, N > 1. More precisely, we determine optimal conditions on the shape of the boundary of a (N + 1)-dimensional domain, N > 1, under which the solution is regular.