Estimates for the Derivative of Parabolic Simple Layer Potential in the Dini Space


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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

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