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.
|Number of pages||24|
|Journal||Differential and Integral Equations|
|Publication status||Published - Aug 2020|
ASJC Scopus subject areas
- Applied Mathematics