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Optimal Measures for Nonlinear Cost Functionals.
- Source :
- Applied Mathematics & Optimization; Sep2006, Vol. 54 Issue 2, p205-221, 17p, 5 Graphs
- Publication Year :
- 2006
-
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 nonlinear. We prove a regularity result for the optimal measure, give a description of it and present some numerical examples. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00954616
- Volume :
- 54
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Applied Mathematics & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 22029088
- Full Text :
- https://doi.org/10.1007/s00245-006-0856-3