Global boundedness of the fundamental solution of parabolic equations with unbounded coefficients

Esther Bleich

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arXiv · 1304.2984

Global boundedness of the fundamental solution of parabolic equations with unbounded coefficients

Esther Bleich

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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.

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Esther Bleich. 2013-05-22. Global boundedness of the fundamental solution of parabolic equations with unbounded coefficients. https://arxiv.org/abs/1304.2984

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