Differential and Integral Equations
- Differential Integral Equations
- Volume 33, Number 7/8 (2020), 337-360.
Trace formulae of potentials for degenerate parabolic equations
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.
Differential Integral Equations, Volume 33, Number 7/8 (2020), 337-360.
First available in Project Euclid: 14 July 2020
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Mathematical Reviews number (MathSciNet)
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