Differential and Integral Equations

Trace formulae of potentials for degenerate parabolic equations

Mukhtar Karazym and Durvudkhan Suragan

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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.

Article information

Differential Integral Equations, Volume 33, Number 7/8 (2020), 337-360.

First available in Project Euclid: 14 July 2020

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Primary: 47G40: Potential operators [See also 31-XX] 35K65: Degenerate parabolic equations


Karazym, Mukhtar; Suragan, Durvudkhan. Trace formulae of potentials for degenerate parabolic equations. Differential Integral Equations 33 (2020), no. 7/8, 337--360. https://projecteuclid.org/euclid.die/1594692053

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