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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
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1977
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| 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.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2010-02-16
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| Provider |
Vancouver : University of British Columbia Library
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| 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.
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| DOI |
10.14288/1.0080127
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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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.