Global boundedness of the fundamental solution of parabolic equations with unbounded coefficients
Analysis of PDEs
2013-05-23 v2
Abstract
The purpose of this paper is to obtain an upper bound for the fundamental solution for parabolic Cauchy problem u'=Au, where A is a second order elliptic partial differential operator with unbounded coefficients such that its potential and the potential of the formal adjoint of the operator A are bounded from below.
Keywords
Cite
@article{arxiv.1304.2984,
title = {Global boundedness of the fundamental solution of parabolic equations with unbounded coefficients},
author = {Esther Bleich},
journal= {arXiv preprint arXiv:1304.2984},
year = {2013}
}