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On the equation grad f = M grad g

Published online by Cambridge University Press:  14 November 2011

Max Jodeit Jr  and
Peter J. Olver
Max Jodeit Jr
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, U.S.A.
Peter J. Olver
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, U.S.A.
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Synopsis

The system of differential equations ∇f = M∇g, where M is a given square matrix, arises in many contexts. A complete solution to this problem in the case when M is a constant matrix is presented here. Applications to continuum mechanics and biHamiltonian systems are indicated.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 116 , Issue 3-4 , 1990 , pp. 341 - 358
Copyright
Copyright © Royal Society of Edinburgh 1990

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