Classical solutions for fractional porous medium flow. (September 2021)

• Record Type: Journal Article
• Authors: Choi, Young-Pil; Jeong, In-Jee
• Is Part Of: Nonlinear analysis. Volume 210(2021)
• Publication Date: 2021-09
• Subjects: Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112393
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider the fractional porous medium flow introduced by Caffarelli and Vazquez (2011) and obtain local in time existence, uniqueness, and blow-up criterion for smooth solutions. The proof is based on establishing a commutator estimate involving fractional Laplacian operators.