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Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients

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Ukrainian Mathematical Journal Aims and scope

The mixed boundary-value problem is considered for linear second-order nondivergent parabolic equations with discontinuous coefficients satisfying the Cordes conditions. The one-valued strong (almost everywhere) solvability of this problem is proved in the space Ŵ 2,1 p , where p belongs to the same segment containing point 2.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

    A. F. Guliyev & S. H. Ismayilova

Authors
  1. A. F. Guliyev
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  2. S. H. Ismayilova
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 11, pp. 1443–1462, November, 2014.

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Guliyev, A.F., Ismayilova, S.H. Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients. Ukr Math J 66, 1615–1638 (2015). https://doi.org/10.1007/s11253-015-1040-1

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  • DOI: https://doi.org/10.1007/s11253-015-1040-1

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