Local solvability and dilation-critical singularities of supercritical fractional heat equations
(2024)
Journal Article
Fujishima, Y., Hisa, K., Ishige, K., & Laister, R. (2024). Local solvability and dilation-critical singularities of supercritical fractional heat equations. Journal de Mathématiques Pures et Appliquées, 186, 150-175. https://doi.org/10.1016/j.matpur.2024.04.005
We consider the Cauchy problem for fractional semilinear heat equations with supercritical nonlinearities and establish both necessary conditions and sufficient conditions for local-in-time solvability. We introduce the notion of a dilation-critical... Read More about Local solvability and dilation-critical singularities of supercritical fractional heat equations.