arXiv:1402.3141 Abstract | arXiv Analytics

arXiv:1402.3141 [math.FA]Abstract References Reviews Resources

The heat equation for the Dirichlet fractional Laplacian with negative potentials: Existence and blow-up of nonnegative solutions

Published 2014-02-13, updated 2015-05-07Version 4

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.

Comments: 17 pages

Categories: math.FA

Keywords: negative potentials, nonnegative solutions, dirichlet fractional laplacian, heat equation, establish conditions

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