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On One Nonlocal Problem with Free Boundary

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Ukrainian Mathematical Journal Aims and scope

Abstract

We investigate group-theoretic properties of a nonlocal problem with free boundary for a degenerating quasilinear parabolic equation. We establish conditions for the invariant solvability of this problem, perform its reduction, and obtain an exact self-similar solution.

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REFERENCES

  1. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    Yu. A. Mitropol'skii, A. A. Berezovskii & A. M. Netesova

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  1. Yu. A. Mitropol'skii
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  2. A. A. Berezovskii
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  3. A. M. Netesova
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Mitropol'skii, Y.A., Berezovskii, A.A. & Netesova, A.M. On One Nonlocal Problem with Free Boundary. Ukrainian Mathematical Journal 53, 1079–1092 (2001). https://doi.org/10.1023/A:1013373014483

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  • DOI: https://doi.org/10.1023/A:1013373014483

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