Email this article Estimates for the Derivative of Parabolic Simple Layer Potential in the Dini Space
- Authors: Martynova K.K.1, Cherepova M.F.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute”
- Issue: Vol 219, No 6 (2016)
- Pages: 973-993
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238746
- DOI: https://doi.org/10.1007/s10958-016-3159-5
- ID: 238746
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Abstract
We establish estimates in the Dini class for the spatial second order derivative of a simple layer potential generated by the fundamental solution to the parabolic equation which is one-dimensional with respect to the spatial variable.
About the authors
K. K. Martynova
National Research University “Moscow Power Engineering Institute”
Email: CherepovaMF@mpei.ru
Russian Federation, 14, Krasnokazarmennaya St., Moscow, 111250
M. F. Cherepova
National Research University “Moscow Power Engineering Institute”
Author for correspondence.
Email: CherepovaMF@mpei.ru
Russian Federation, 14, Krasnokazarmennaya St., Moscow, 111250
