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arXiv:1304.2984 [math.AP]AbstractReferencesReviewsResources

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

Esther Bleich

Published 2013-04-10, updated 2013-05-22Version 2

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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