USERS GUIDE TO VISCOSITY SOLUTIONS OF 2ND-ORDER PARTIAL-DIFFERENTIAL EQUATIONS

被引：2689

作者：

CRANDALL, MG

ISHII, H

LIONS, PL

机构：

[1] CHUO UNIV,DEPT MATH,BUNKYO KU,TOKYO 112,JAPAN

[2] UNIV PARIS 09,CEREMADE,F-75576 PARIS 16,FRANCE

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 27卷 / 01期

关键词：

VISCOSITY SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; FULLY NONLINEAR EQUATIONS; ELLIPTIC EQUATIONS; PARABOLIC EQUATIONS; HAMILTON-JACOBI EQUATIONS; DYNAMIC PROGRAMMING; NONLINEAR BOUNDARY VALUE PROBLEMS; GENERALIZED SOLUTIONS; MAXIMUM PRINCIPLES; COMPARISON THEOREMS; PERRON METHOD;

D O I：

10.1090/S0273-0979-1992-00266-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be proved by very efficient and striking arguments. The range of important applications of these results is enormous. This article is a self-contained exposition of the basic theory of viscosity solutions.

引用

页码：1 / 67

页数：67

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