Title of article
Equivalent formulations for Monge–Kantorovich equation Original Research Article
Author/Authors
Noureddine Igbida، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
9
From page
3805
To page
3813
Abstract
In this paper, we study some equivalent formulations in divergence form for the optimization problem View the MathML sourcemax{∫Ωξdμ;ξ∈W01,1(Ω) s.t. |∇ξ(x)|≤k(x) a.e. x∈Ω} where View the MathML sourcek∈C(Ω¯) and k>0k>0 in ΩΩ. This is the so called dual equation of Monge–Kantorovich problem.
Keywords
Tangential gradient , Optimal transportation , Monge optimal mass transport problem , RNRN-valued Radon measure flux , Monge–Kantorovich equation , Nonlinear PDE
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861491
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