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

2013/04/10 by Esther Bleich, Bleich, Esther
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1304.2984

openalex publication_date 2013/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to obtain an upper bound for the fundamental\nsolution for parabolic Cauchy problem u'=Au, where A is a second order elliptic\npartial differential operator with unbounded coefficients such that its\npotential and the potential of the formal adjoint of the operator A are bounded\nfrom below.\n

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