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

[21] MEAN VIABILITY THEOREMS AND SECOND-ORDER HAMILTON-JACOBI EQUATIONS
Keller, Christian
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2024, 62 (03) : 1615 - 1642
[22] REMARKS ON THE EXISTENCE AND UNIQUENESS OF UNBOUNDED VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS
CRANDALL, MG
LIONS, PL
ILLINOIS JOURNAL OF MATHEMATICS, 1987, 31 (04) : 665 - 688
[23] Existence of global quasiclassical solutions to the Cauchy problem for Hamilton-Jacobi equations
Tran, DV
Nguyen, HA
Gorenflo, R
DIFFERENTIAL EQUATIONS, 1995, 31 (04) : 624 - 628
[24] Multicriteria optimal control and vectorial Hamilton-Jacobi equation
Caroff, Nathalie
LARGE-SCALE SCIENTIFIC COMPUTING, 2008, 4818 : 293 - 299
[25] STOCHASTIC HOMOGENIZATION OF HAMILTON-JACOBI AND "VISCOUS"-HAMILTON-JACOBI EQUATIONS WITH CONVEX NONLINEARITIES - REVISITED
Lions, Pierre-Louis
Souganidis, Panagiotis E.
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 8 (02) : 627 - 637
[26] THE RIEMANN PROBLEM FOR NONCONVEX SCALAR CONSERVATION-LAWS AND HAMILTON-JACOBI EQUATIONS
OSHER, S
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 89 (04) : 641 - 646
[27] Minimizers of non convex scalar functionals and viscosity solutions of Hamilton-Jacobi equations
Sandro Zagatti
Calculus of Variations and Partial Differential Equations, 2008, 31 : 511 - 519
[28] Hamilton-Jacobi Equations on Graph and Applications
Yan Shu
Potential Analysis, 2018, 48 : 125 - 157
[29] Minimax solutions to the Hamilton-Jacobi equations
Subbotin A.I.
Journal of Mathematical Sciences, 2001, 103 (6) : 772 - 777
[30] Hamilton-Jacobi equations in evolutionary games
Krasovskiy, N. A.
Kryazhimskiy, A. V.
Tarasyev, A. M.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2014, 20 (03): : 114 - 131

← 1 2 3 4 5 →