The heat equation for the Dirichlet fractional Laplacian with negative potentials: Existence and blow-up of nonnegative solutions
classification
🧮 math.FA
keywords
blow-updirichletequationexistencefractionalheatlaplaciannegative
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We establish conditions ensuring either existence or blow-up of nonnegative solutions for the heat equation generated by the Dirichlet fractional Laplacian perturbed by negative potentials on bounded sets. The elaborated theory is supplied by some examples.
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