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

Details 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

2009-01-27

arxiv.org/abs/0901.4171v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

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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