Geometric C1+α regularity estimates for nonlinear evolution models

被引:5
作者
Vitor da Silva, Joao [1 ]
机构
[1] Univ Buenos Aires, Fac Exact & Nat Sci FCEyN, Dept Math, Ciudad Univ Pabellon 1,C1428ECA, Buenos Aires, DF, Argentina
关键词
Nonlinear evolution models; Geometric regularity estimates; Intrinsic scaling techniques; PARABOLIC EQUATIONS; SHARP REGULARITY; SPACES;
D O I
10.1016/j.na.2019.01.031
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this survey we establish geometric C1+alpha 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. (C) 2019 Elsevier Ltd. All rights reserved.
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页码:95 / 115
页数:21
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