NDLI: Optimal measures for elliptic problems

Content Provider	Springer Nature Link
Author	Buttazzo, Giuseppe Varchon, Nicolas Zoubairi, Hakima
Copyright Year	2005
Abstract	We study an optimization problem for an elliptic PDE where the unknown is a measure. The state equation is a relaxed form of the classical Dirichlet problem and the functional to minimize is the energy of the system. We prove a regularity result for the optimal measure, give a description of it and present some numerical examples.
Starting Page	207
Ending Page	221
Page Count	15
File Format	PDF
ISSN	03733114
Journal	Annali di Matematica Pura ed Applicata
Volume Number	185
Issue Number	2
e-ISSN	16181891
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-09-29
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Gamma-convergence Measure theory Shape optimization Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Optimal measures for elliptic problems