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What is Overview of Hamilton-Jacobi Equation about?

This document provides an overview of the Hamilton-Jacobi partial differential equation. It begins by discussing the origins of the equation in Hamiltonian mechanics and classical mechanics. It then notes how the equation can fail to have a proper solution. The document also discusses how the equation arises in problems of optimal control. Finally, it presents some modern theory on defining a viscosity solution to the PDE and describing some of its properties.

Author

John Bird

Language

EN