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research article
On the equation (Du)(t) H Du = G
January 1, 2022
In this article, we want to find a map u : (Omega) over bar -> R-n solving, in Omega, the equation
u* (H) = G i.e. (Du)(t) H (u) Du = G
and coupled, on partial derivative Omega, either with the Dirichlet-Neumann problem
u = theta and Du = D theta
or the purely Dirichlet problem
where Omega subset of R-n is a bounded open set, G, H : R-n -> R-nxn and theta : (Omega) over bar -> R-n are given. We discuss the case where G and H are not necessarily symmetric or skew-symmetric, but have invertible symmetric parts. (C) 2021 Elsevier Ltd. All rights reserved.
Type
research article
Web of Science ID
WOS:000717078000002
Authors
Publication date
2022-01-01
Publisher
Published in
Volume
214
Article Number
112554
Peer reviewed
REVIEWED
Available on Infoscience
January 31, 2022
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