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July/August 2020 Trace formulae of potentials for degenerate parabolic equations
Mukhtar Karazym, Durvudkhan Suragan
Differential Integral Equations 33(7/8): 337-360 (July/August 2020).

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.

Citation

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Mukhtar Karazym. Durvudkhan Suragan. "Trace formulae of potentials for degenerate parabolic equations." Differential Integral Equations 33 (7/8) 337 - 360, July/August 2020.

Information

Published: July/August 2020
First available in Project Euclid: 14 July 2020

zbMATH: 07250698
MathSciNet: MR4122509

Subjects:
Primary: 35K65, 47G40

Rights: Copyright © 2020 Khayyam Publishing, Inc.

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Vol.33 • No. 7/8 • July/August 2020
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