Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer_journal/variational-solutions-of-coupled-hamilton-jacobi-equations-qGWneATbZY
References (9)
-
I. Dolcetta, L. Evans (1984)
Optimal Switching for Ordinary Differential EquationsSiam Journal on Control and Optimization, 22
-
V. Weckesser (1992)
Uniqueness and existence for viscosity solutions of quasimonotone systems -
H. Ishii, Shigeaki Koike (1991)
Viscosity solutions for monotone systems of second-order elliptic PDESCommunications in Partial Differential Equations, 16
-
H. Ishii (1987)
Perron’s method for Hamilton-Jacobi equationsDuke Mathematical Journal, 55
-
P. Lions (1982)
Generalized Solutions of Hamilton-Jacobi Equations -
H. Engler, S. Lenhart (1991)
Viscosity Solutions for Weakly Coupled Systems of Hamilton-Jacobi EquationsProceedings of The London Mathematical Society, 63
-
Shigeaki Koike (1994)
Uniqueness of viscosity solutions for monotone systems of fully nonlinear PDEs under Dirichlet conditionNonlinear Analysis-theory Methods & Applications, 22
-
M. Katsoulakis, Shigeaki Koike (1994)
Viscosity solutions of monotone systems for Dirichlet problemsDifferential and Integral Equations
-
A. Leaci, G. Caffarelli (1981)
Generalized variational solutions of the cauchy problem for hamilton — jacobi equationsCommunications in Partial Differential Equations, 6
- Publisher
- Springer Journals
- Copyright
- Copyright © Inc. by 2000 Springer-Verlag New York
- Subject
- Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
- ISSN
- 0095-4616
- eISSN
- 1432-0606
- DOI
- 10.1007/s002459911002
- Publisher site
- See Article on Publisher Site
Abstract
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.
Journal
Applied Mathematics and Optimization – Springer Journals
Published: Jun 1, 2008