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On the regularity in time of weak solutions of quasilinear doubly degenerate parabolic equations

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Abstract

The continuity in L2(Ω) with respect to t as well as some integral Hölder condition in t with exponent 1/2 are established for weak solutions of quasilinear doubly degenerate parabolic equations. Bibliography: 5 titles.

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Literature Cited

  1. A. I. Ivanov, “Hölder estimates of weak solutions of quasilinear doubly degenerate parabolic equations,”Zap. Nauchn. Semin. LOMI,171, 70–105 (1989).

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  5. A. I. Ivanov, “Quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order,”Tr. Mat. Int.-Akad. Nauk SSSR,160 (1982).

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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 206, 1993, pp. 78–84.

Translated by A. I. Ivanov and P. Z. Mkrtychan.

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Ivanov, A.V., Mkrtychan, P.Z. On the regularity in time of weak solutions of quasilinear doubly degenerate parabolic equations. J Math Sci 80, 1922–1926 (1996). https://doi.org/10.1007/BF02367006

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  • DOI: https://doi.org/10.1007/BF02367006

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