On the equation grad f = M grad g
- 1 January 1990
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 116 (3-4) , 341-358
- https://doi.org/10.1017/s0308210500031541
Abstract
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.Keywords
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