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Regular Fundamental Solution to Parabolic Equation with Dini Continuous Coefficients in Many Spatial Variables

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We consider a parabolic equation with Dini continuous coefficients in the case of many spatial variables The existence of a regular fundamental solution to this equation is proved, and estimates for the solution are obtained. These results imply that the Dini condition for the principal coefficients of the equation is sharp.

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Authors and Affiliations

  1. Lomonosov Moscow State University, 1 Leninskie Gory, Moscow, 119991, Russia

    E. A. Baderko & K. V. Semenov

Authors
  1. E. A. Baderko
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  2. K. V. Semenov
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Correspondence to K. V. Semenov.

Additional information

International Mathematical Schools. Vol. 4. Problems for Partial Differential Equations and Topics in Analysis

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Baderko, E.A., Semenov, K.V. Regular Fundamental Solution to Parabolic Equation with Dini Continuous Coefficients in Many Spatial Variables. J Math Sci 274, 441–459 (2023). https://doi.org/10.1007/s10958-023-06612-w

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  • DOI: https://doi.org/10.1007/s10958-023-06612-w

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