Optimal transportation problems with free Dirichlet regions
Buttazzo, Giuseppe ; Oudet, Edouard ; Stepanov, E.
HAL, hal-00384991 / Harvested from HAL
Text on HAL
A Dirichlet region for an optimal mass transportation problem is, roughly speaking, a zone in which the transportation cost is vanishing. We study the optimal transportation problem with an unknown Dirichlet region S which varies in the class of closed connected subsets having prescribed 1-dimensional Hausdorff measure. We show the existence of an optimal Sopt and study some of its geometrical properties. We also present numerical computations which show the shape of Sopt in some model examples.
Publié le : 2002-01-01
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00384991,
     author = {Buttazzo, Giuseppe and Oudet, Edouard and Stepanov, E.},
     title = {Optimal transportation problems with free Dirichlet regions},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00384991}
}

Buttazzo, Giuseppe; Oudet, Edouard; Stepanov, E. Optimal transportation problems with free Dirichlet regions. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00384991/