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arXiv · 0901.4171

On nonexistence of Baras--Goldstein type for higher-order parabolic equations with singular potentials

V. A. Galaktionov·I. V. Kamotski
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Abstract

An analogy of nonexistence result by Baras and Goldstein (1984), for the heat equation with inverse singular potential, is proved for 2mth-order linear parabolic equations with Hardy-supercritical singular potentials. Extensions to other linear and nonlinear singular PDEs are discussed.

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V. A. Galaktionov, I. V. Kamotski. 2009-01-27. On nonexistence of Baras--Goldstein type for higher-order parabolic equations with singular potentials. https://arxiv.org/abs/0901.4171

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