12 research outputs found
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.Comment: 22 page