THE WORK OF LUIS CAFFARELLI ON FULLY NONLINEAR ELLIPTIC PDES

被引：0

作者：

Savin, Ovidiu ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 2025年 / 62卷 / 02期

关键词：

HARNACK INEQUALITY APPROACH; MONGE-AMPERE; VISCOSITY SOLUTIONS; DIRICHLET PROBLEM; DIFFERENTIAL-EQUATIONS; OPTIMAL TRANSPORTATION; REGULARITY PROPERTIES; FRACTIONAL DIFFUSION; BOUNDARY-REGULARITY; INTERIOR REGULARITY;

D O I：

10.1090/bull/1862

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Luis Caffarelli is one of the most outstanding mathematicians of our generation. His fundamental work on the regularity theory of nonlinear PDEs, fluid dynamics, and free boundary problems is associated with many important breakthroughs in these fields over the last five decades. For his exceptional work, Caffarelli was awarded numerous honors and distinctions such as the Bocher Memorial Prize, the Rolf Schock Prize, the AMS Leroy Steele Prize, the Wolf Prize, the Shaw Prize, and, in 2023, the Abel Prize.

引用

页码：327 / 357

页数：31

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