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

Abstract

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.

Item Metadata

Title
A generalization of the Hamilton-Jacobi equation
Creator
Havelock, David Ian
Publisher
University of British Columbia
Date Issued
1977
Description
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.
Genre
Thesis/Dissertation
Type
Text
Language
eng
Date Available
2010-02-15
Provider
Vancouver : University of British Columbia Library
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
DOI
10.14288/1.0080127
URI
http://hdl.handle.net/2429/20305
Degree (Theses)
Master of Science - MSc
Program (Theses)
Mathematics
Affiliation
Science, Faculty of; Mathematics, Department of
Degree Grantor
University of British Columbia
Campus
UBCV
Scholarly Level
Graduate
Aggregated Source Repository
DSpace

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For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.