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arXiv · 2005.00351

Trace formulae of potentials for degenerate parabolic equations

Mukhtar Karazym·Durvudkhan Suragan
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Abstract

In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences, we obtain trace formulae of the heat volume potential and the Poisson integral which solve Kac's problem for degenerate parabolic equations in cylindrical domains.

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Mukhtar Karazym, Durvudkhan Suragan. 2020-05-01. Trace formulae of potentials for degenerate parabolic equations. https://arxiv.org/abs/2005.00351

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