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

2023/05/10 by Oka, Yusuke, Zhanpeisov, Erbol · 1 citation
#26A33 #35K15 #35K58 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.05969

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.

Cited by

• Solvability of inhomogeneous fractional semilinear heat equations in Lorentz--Morrey spaces

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