Trace formulae of potentials for degenerate parabolic equations
Analysis of PDEs
2020-05-04 v1
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.
Keywords
Cite
@article{arxiv.2005.00351,
title = {Trace formulae of potentials for degenerate parabolic equations},
author = {Mukhtar Karazym and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:2005.00351},
year = {2020}
}
Comments
To appear in Differential and Integral Equations