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20162026
most citedExistence and nonexistence of solutions for the heat equation with a superlinear source term

3 citations · 7 across the 12 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023

Local solvability and dilation-critical singularities of supercritical fractional heat equations

Yohei Fujishima, Kotaro Hisa, Kazuhiro Ishige +1

We consider the Cauchy problem for fractional semilinear heat equations with supercritical nonlinearities and establish both necessary conditions and sufficient conditions for loca…