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Abstract <p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Andreas Chatziafratis,
  • Elias C. Aifantis

摘要

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.