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A General Hamilton-Jacobi Equation and Associated Problem of Lagrange

Published online by Cambridge University Press:  20 November 2018

M. A. McKiernan
M. A. McKiernan*
Affiliation:
University of Waterloo
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Extract

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It is well known [1] that the variational problem of minimizing

1

where F is positive homogeneous of degree one in (henceforth abbreviated to "plus-one" in ) leads to a Hamiltonian H{xi, pi} and corresponding Hamilton-Jacobi equation

2

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 3 , April 1965 , pp. 317 - 321
Copyright
Copyright © Canadian Mathematical Society 1965

References

1. Rund, H., The Differential Geometry of Finsler Spaces, Springer, 1958.Google Scholar
2. John, Fritz, Partial Differential Equations, New York University, 1952-53, p. 36.Google Scholar