Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases

被引：0

作者：

Dacorogna, B ^{[1
]}

Marcellini, P ^{[1
]}

机构：

[1] UNIV FLORENCE,DIPARTIMENTO MATEMAT U DINI,I-50134 FLORENCE,ITALY

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1996年 / 322卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove existence of Lipschitz solutions of Dirichlet problem for Hamilton-Jacobi equations in the scalar and the vectorial cases. We prove that the set of solutions is dense using Baire theorem and the notion of quasiconvexity in Morrey's sense.

引用

下载

页码：237 / 240

页数：4

共 50 条

[1] General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases
Dacorogna, B
Marcellini, P
ACTA MATHEMATICA, 1997, 178 (01) : 1 - 37
[2] On vectorial Hamilton-Jacobi equations
Imbert, C
Volle, M
CONTROL AND CYBERNETICS, 2002, 31 (03): : 493 - 506
[3] On the Dirichlet problem for vectorial Hamilton-Jacobi equations
Zagatti, S
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1998, 29 (06) : 1481 - 1491
[4] On the vectorial Hamilton-Jacobi system
Yan, BS
PROCEEDINGS OF THE CONFERENCE ON NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1998, : 212 - 221
[5] ON EXISTENCE AND UNIQUENESS OF SOLUTIONS OF HAMILTON-JACOBI EQUATIONS
CRANDALL, MG
LIONS, PL
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1986, 10 (04) : 353 - 370
[6] EXISTENCE AND UNIQUENESS RESULTS FOR HAMILTON-JACOBI EQUATIONS
SUBBOTIN, AI
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 16 (7-8) : 683 - 699
[7] EXISTENCE OF VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS
SOUGANIDIS, PE
JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 56 (03) : 345 - 390
[8] Solutions of vectorial Hamilton-Jacobi equations and minimizers of nonquasiconvex functionals
Zagatti, Sandro
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (02) : 1143 - 1160
[9] Global existence and decay for viscous Hamilton-Jacobi equations
Amour, L
Ben-Artzi, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 31 (5-6) : 621 - 628
[10] Existence of solutions to Hamilton-Jacobi functional differential equations
Kamont, Z.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (03) : 767 - 778

← 1 2 3 4 5 →