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Generating Functions of Multi-symplectic PRK Methods via DW Hamilton-Jacobi Equations
Multi-Symplectic Partitioned Runge-Kutta Methods Generating Functions DW
2012/8/7
In this paper we investigate Donder-Weyl (DW) Hamilton-Jacobi equations and establish the
connection between DW Hamilton-Jacobi equations and multi-symplectic Hamiltonian systems.
Based on the study...
Hamilton-Jacobi Equations and Two-Person Zero-Sum Differential Games with Unbounded Controls
Two-person zero-sum differential games unbounded control Hamilton-Jacobi equation viscosity solution
2011/8/25
Abstract: A two-person zero-sum differential game with unbounded controls is considered. Under proper coercivity conditions, the upper and lower value functions are characterized as the unique viscosi...
A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi Equations
Large-time Behavior Hamilton-Jacobi Equations Initial-Boundary Value Problem
2011/1/18
We investigate the large-time behavior of three types of initial-boundary value problems for Hamilton-Jacobi Equations with nonconvex Hamiltonians.
A Direct Proof of the Equivalence Between the Entropy Solutions of Conservation Laws and Viscosity Solutions of Hamilton-Jacobi Equations In One-Space Variable
Hamilton-Jacobi equation Conservation law Viscosity solution Entropy solution Front tracking method
2008/7/3
A Direct Proof of the Equivalence Between the Entropy Solutions of Conservation Laws and Viscosity Solutions of Hamilton-Jacobi Equations In One-Space Variable.