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research article
A Dirichlet problem involving the divergence operatord
We consider the problem {div u + (a; u) = f in Omega u = u(0) on partial derivative Omega. We show that if curl a (x(0)) not equal for some x(0) epsilon Omega, then the problem is solvable without restriction on f. We also discuss the regularity of the solution. (C) 2015 Elsevier Masson SAS. All rights reserved.
Type
research article
Web of Science ID
WOS:000376216000006
Authors
Publication date
2016
Publisher
Volume
33
Issue
3
Start page
829
End page
848
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
July 19, 2016
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