Solvability of Superlinear Fractional Parabolic Equations
Analysis of PDEs
2022-04-19 v1
Abstract
We study necessary conditions and sufficient conditions for the existence of local-in-time solutions of the Cauchy problem for superlinear fractional parabolic equations. Our conditions are sharp and clarify the relationship between the solvability of the Cauchy problem and the strength of the singularities of the initial measure.
Keywords
Cite
@article{arxiv.2204.08243,
title = {Solvability of Superlinear Fractional Parabolic Equations},
author = {Yohei Fujishima and Kotaro Hisa and Kazuhiro Ishige and Robert Laister},
journal= {arXiv preprint arXiv:2204.08243},
year = {2022}
}