Explicit Ehrenpreis–Palamodov–Fokas Representations for the Sobolev–Barenblatt Model and the Rubinshtein–Aifantis System on Semi-Strips and Quarter-Planes

Document Type

Article

Publication Date

2-1-2025

Abstract

Abstract: Explicit integral representations consistent with the fundamentalEhrenpreis–Palamodov principle are herein constructed for thenovel solution formulae, recently obtained in closed form viarigorous implementation of the Fokas unified transform method, forthe Sobolev–Barenblatt pseudo-parabolic model of seepage inporous media and for the Rubinshtein–Aifantis double-diffusionsystem formulated on semi-bounded domains.

Publication Title

Lobachevskii Journal of Mathematics

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