Solvability and spectral properties of the boundary value problem for degenerating higher order parabolic equation

D. Amanov

Applied Mathematics and Computation, 2015, vol. 268, issue C, 1282-1291

Abstract: In the present paper we study the boundary value problem for degenerating higher order parabolic equation. A priori estimate for the solution of the boundary value problem is obtained. The existence of unique regular and strong solutions of the problem is proved. The adjoint problem is also investigated.

Keywords: Boundary value problem; Degenerating parabolic equation; A priori estimate; Strong solution; Regular solution; Adjoint problem (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:1282-1291

DOI: 10.1016/j.amc.2015.06.131

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