Geometric C1+α regularity estimates for nonlinear evolution models. (July 2019)

• Record Type: Journal Article
• Authors: da Silva, João Vitor
• Is Part Of: Nonlinear analysis. Volume 184(2019)
• Page Start: 95
• Page End: 115
• Publication Date: 2019-07
• Subjects: 35B65 -- 35K55 -- 35K65 -- 35J60 -- 35J70; Nonlinear evolution models -- Geometric regularity estimates -- Intrinsic scaling techniques; 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.2019.01.031
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this survey we establish geometric C 1 + α regularity estimates for bounded solutions of a number of nonlinear evolution models in divergence and non-divergence form. The main insights to obtain such estimates are based on geometric tangential methods, and make use of systematic oscillation mechanisms combined with intrinsic scaling techniques.