Titlebook: Optimal Transportation Networks; Models and Theory Marc Bernot,Vicent Caselles,Jean-Michel Morel Book 2009 Springer-Verlag Berlin Heidelber

Facilities

Aprope

obstinate

Interior and Boundary Regularity,point .∈. (Section 8.2). These definitions and the fact that connected components of an optimal traffic plan are themselves optimal traffic plans will permit to perform some surgery leading to the main regularity theorems. The first “interior” regularity theorem (Section 8.3) states that outside the

Jejune

隼鷹

Irrigability and Dimension,s irrigable with respect to α. In that case, notice that μ is also β-irrigable for β>α. This observation proves the existence of a critical exponent α associated with μ and defined as the smallest exponent such that μ is α-irrigable. The aim of the chapter is to link this exponent to more classical

interpose

Ejaculate

The Gilbert-Steiner Problem, setting by Gilbert in [44]. Following his steps, we first consider the irrigation problem from a source to two Dirac masses. If the optimal structure is made of three edges, the first order condition for a local optimum yields constraints on the angles between the edges at the bifurcation point (se

賄賂

Dirac to Lebesgue Segment: A Case Study,ase of Monge-Kantorovich transport, as illustrated by Figure 13.1, an optimal traffic plan is totally spread in the sense that fibers connect every point of the segment with the source. If α=0, which corresponds to the problem of Steiner, an optimal traffic plan is such that all the mass is first co

妨礙

MARS