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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217567An 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.22 pagesAnalysis of PDEs35K55, 35K40On nonexistence of Baras--Goldstein type for higher-order parabolic equations with singular potentialstext