## Differential and Integral Equations

### Trace formulae of potentials for degenerate parabolic equations

#### 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.

#### Article information

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

Dates
First available in Project Euclid: 14 July 2020