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UBC Theses and Dissertations

A generalization of the Hamilton-Jacobi equation Havelock, David Ian


After a brief review of the relevant classical theory and a presentation of the concept of generalized gradients, it is demonstrated that, in analogy with the classical case, a locally lipschitz value function satisfies a generalized version of the Hamilton-Jacobi equation. A sufficiency condition for optimality is developed and some examples illustrating various aspects of the generalized theory are presented.

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