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

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

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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Hauptverfasser: Galaktionov, V. A, Kamotski, I. V
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Analysis of PDEs
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Zusammenfassung: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.
DOI:10.48550/arxiv.0901.4171