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arXiv · 2305.05969

Existence of solutions for time fractional semilinear parabolic equations in Besov--Morrey spaces

Yusuke Oka·Erbol Zhanpeisov
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Abstract

We consider the Cauchy problem for a time fractional semilinear heat equation with initial data belonging to inhomogeneous/homogeneous Besov--Morrey spaces. We present sufficient conditions for the existence of local/global-in-time solutions to the Cauchy problem, which cover all existing results in the literature and can be applied to a large class of initial data.

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Yusuke Oka, Erbol Zhanpeisov. 2023-05-10. Existence of solutions for time fractional semilinear parabolic equations in Besov--Morrey spaces. https://arxiv.org/abs/2305.05969

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