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The Nonlinear Cauchy Problem with Solutions Defined in Domains with Gaps

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Abstract

In this paper, we consider the Cauchy problem on the closed data support for a secondorder quasilinear equation with an admissible parabolic degeneration. Cases with solutions defined in domains with gaps are examined.

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Authors and Affiliations

  1. N. I. Muskhelishvili Institute of Computational Mathematics of Georgian Technical University, Tbilisi, Georgia

    M. Menteshashvili

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  1. M. Menteshashvili
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Correspondence to M. Menteshashvili.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 89, Differential Equations and Mathematical Physics, 2013.

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Menteshashvili, M. The Nonlinear Cauchy Problem with Solutions Defined in Domains with Gaps. J Math Sci 206, 413–423 (2015). https://doi.org/10.1007/s10958-015-2321-9

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  • DOI: https://doi.org/10.1007/s10958-015-2321-9

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