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Classical Solutions of Parabolic Initial-Boundary-Value Problems and HӧRmander Spaces

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Ukrainian Mathematical Journal Aims and scope

For the second-order linear parabolic differential equations with complex-valued coefficients, we establish new sufficient conditions under which the generalized solutions of these problems are continuous. The conditions are formulated in the terms of belonging of the right-hand sides of these problems to certain anisotropic Hӧrmander spaces.

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Authors and Affiliations

  1. “Kyiv Polytechnic Institute” Ukrainian National Technical University, Kyiv, Ukraine

    V. M. Los’

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 9, pp. 1229–1239, September, 2016.

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Los’, V.M. Classical Solutions of Parabolic Initial-Boundary-Value Problems and HӧRmander Spaces. Ukr Math J 68, 1412–1423 (2017). https://doi.org/10.1007/s11253-017-1303-0

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  • DOI: https://doi.org/10.1007/s11253-017-1303-0

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