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Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations

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Abstract

The L ∞-estimates of weak solutions are established for a quasilinear nondiagonal parabolic system of singular equations whose matrix of coefficients satisfies special structural conditions. A procedure based on the estimation of linear combinations of the unknowns is used.

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Authors and Affiliations

  1. Institute of Physics of Condensed Matter, Ukrainian National Academy of Sciences, Lviv

    D. V. Portnyagin

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  1. D. V. Portnyagin
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 8, pp. 1084–1096, August, 2006.

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Portnyagin, D.V. Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations. Ukr Math J 58, 1223–1237 (2006). https://doi.org/10.1007/s11253-006-0130-5

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  • DOI: https://doi.org/10.1007/s11253-006-0130-5

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