Part of the Systems & Control: Foundations & Applications book series (MBC)
Continuous viscosity solutions of Hamilton-Jacobi equations
This chapter is devoted to the basic theory of continuous viscosity solutions of the Hamilton-Jacobi equation
where Ω is an open domain of ℝ N and the Hamiltonian F = F(x, r, p) is a continuous real valued function on Ω × ℝ × ℝ N .
$$F(x,u(x),Du(x)) = 0x \in \Omega ,$$
KeywordsOptimal Control Problem Viscosity Solution Directional Derivative LIPSCHITZ Continuity Bibliographical Note
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 1997