Capacitary estimates of solutions of semilinear parabolic equations
Analysis of PDEs
2007-09-27 v1
Abstract
We prove an almoste representation formula for positive solutions of semilinear heat equations with power-type absorption the initial trace of which is the indicatrix function of a compact set. The representations involves a Wiener test via Bessel capacities.
Keywords
Cite
@article{arxiv.0709.4106,
title = {Capacitary estimates of solutions of semilinear parabolic equations},
author = {Moshe Marcus and Laurent Veron},
journal= {arXiv preprint arXiv:0709.4106},
year = {2007}
}
Comments
46 pages