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arXiv · 1910.12013

Existence of solutions for an inhomogeneous fractional semilinear heat equation

Kotaro Hisa·Kazuhiro Ishige·Jin Takahashi
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Abstract

We obtain necessary conditions and sufficient conditions on the existence of solutions to the Cauchy problem for a fractional semilinear heat equation with an inhomogeneous term. We identify the strongest spatial singularity of the inhomogeneous term for the solvability of the Cauchy problem.

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Kotaro Hisa, Kazuhiro Ishige, Jin Takahashi. 2019-10-26. Existence of solutions for an inhomogeneous fractional semilinear heat equation. https://arxiv.org/abs/1910.12013

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