Local solvability and dilation-critical singularities of supercritical fractional heat equations
(2024)
Journal Article
Fujishima, Y., Hisa, K., Ishige, K., & Laister, R. (in press). Local solvability and dilation-critical singularities of supercritical fractional heat equations. Journal de Mathématiques Pures et Appliquées,
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.