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- W4385774682 abstract "We consider the Cauchy problem for fractional semilinear heat equations with supercritical nonlinearities and establish both necessary conditions and sufficient conditions for local-in-time solvability. We introduce the notion of a dilation-critical singularity (DCS) of the initial data and show that such singularities always exist for a large class of supercritical nonlinearities. Moreover, we provide exact formulae for such singularities." @default.
- W4385774682 created "2023-08-12" @default.
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- W4385774682 date "2023-08-09" @default.
- W4385774682 modified "2023-09-27" @default.
- W4385774682 title "Local solvability and dilation-critical singularities of supercritical fractional heat equations" @default.
- W4385774682 doi "https://doi.org/10.48550/arxiv.2308.05240" @default.
- W4385774682 hasPublicationYear "2023" @default.
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