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

Erbol Zhanpeisov

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arXiv · 2301.04263

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

Erbol Zhanpeisov

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Abstract

In this paper, we establish the existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces for a large class of initial data including distributions other than Radon measures. We also obtain sufficient conditions for the existence of solutions to viscous Hamilton-Jacobi equations.

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Erbol Zhanpeisov. 2023-01-11. Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces. https://arxiv.org/abs/2301.04263

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