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arXiv · 2204.08243

Solvability of Superlinear Fractional Parabolic Equations

Yohei Fujishima·Kotaro Hisa·Kazuhiro Ishige·Robert Laister
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Abstract

We study necessary conditions and sufficient conditions for the existence of local-in-time solutions of the Cauchy problem for superlinear fractional parabolic equations. Our conditions are sharp and clarify the relationship between the solvability of the Cauchy problem and the strength of the singularities of the initial measure.

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Yohei Fujishima, Kotaro Hisa, Kazuhiro Ishige, Robert Laister. 2022-04-18. Solvability of Superlinear Fractional Parabolic Equations. https://arxiv.org/abs/2204.08243

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