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