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Quasilinear parabolic equations with a degenerate absorption potential

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Abstract

Quasilinear parabolic equations with a degenerate absorption potential are considered. The estimates of all weak solutions of such equations, including large solutions satisfying the blow-up conditions on the parabolic boundary of a domain, are obtained.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slov’yans’k, Ukraine

    Yevgeniia O. Yevgenieva

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  1. Yevgeniia O. Yevgenieva
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Correspondence to Yevgeniia O. Yevgenieva.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 4, pp. 576–591 October–December, 2018.

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Yevgenieva, Y.O. Quasilinear parabolic equations with a degenerate absorption potential. J Math Sci 242, 457–468 (2019). https://doi.org/10.1007/s10958-019-04489-2

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  • DOI: https://doi.org/10.1007/s10958-019-04489-2

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