Variational solutions of coupled Hamilton-Jacobi equations

被引：9

作者：

Loreti, P

Caffarelli, GV

机构：

[1] Univ Rome La Sapienza, Dipartimento Metodi & Modelli Matemat Sci Applic, I-00161 Rome, Italy

[2] Consiglio Nazl Ric, Ist Applicaz Calcolo Mauro Picone, I-00161 Rome, Italy

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2000年 / 41卷 / 01期

关键词：

Hamilton-Jacobi equations; variational solutions; viscosity solutions;

D O I：

10.1007/s002459911002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we study variational solutions of weakly coupled Hamilton-Jacobi equations in the case where the Hamiltonians are convex. More precisely, we build the variational solution by an approximation scheme.

引用

页码：9 / 24

页数：16

共 12 条

[1]

Benton S, 1977, HAMILTON JACOBI EQUA

[2] OPTIMAL SWITCHING FOR ORDINARY DIFFERENTIAL-EQUATIONS [J].

DOLCETTA, IC ;

EVANS, LC .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1984, 22 (01) :143-161

[3]

ENGLER H, 1991, P LOND MATH SOC, V63, P212

[4] PERRON METHOD FOR HAMILTON-JACOBI EQUATIONS [J].

ISHII, H .

DUKE MATHEMATICAL JOURNAL, 1987, 55 (02) :369-384

[5] VISCOSITY SOLUTIONS FOR MONOTONE SYSTEMS OF 2ND-ORDER ELLIPTIC PDES [J].

ISHII, H ;

KOIKE, S .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (6-7) :1095-1128

[6]

KATSOULAKIS S, 1994, DIFFERENTIAL INTEGRA, V7, P367

[7] UNIQUENESS OF VISCOSITY SOLUTIONS FOR MONOTONE SYSTEMS OF FULLY NONLINEAR PDES UNDER DIRICHLET CONDITION [J].

KOIKE, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (04) :519-532

[8]

LEACI A, 1981, COMMUN PART DIFF EQ, V6, P289

[9]

Lions P-L., 1982, GEN SOLUTIONS HAMILT

[10]

LIONS PL, 1983, COMMUN PART DIFF EQ, V8, P1101

← 1 2 →