On nonexistence of Baras--Goldstein type for higher-order parabolic equations with singular potentials
Analysis of PDEs
2009-01-28 v1
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.
Keywords
Cite
@article{arxiv.0901.4171,
title = {On nonexistence of Baras--Goldstein type for higher-order parabolic equations with singular potentials},
author = {V. A. Galaktionov and I. V. Kamotski},
journal= {arXiv preprint arXiv:0901.4171},
year = {2009}
}
Comments
22 pages