Differential Equations Methods for the Monge Kantorovich Mass Transfer Problem is popular PDF and ePub book, written by Lawrence C. Evans in 1999, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Differential Equations Methods for the Monge Kantorovich Mass Transfer Problem can be Read Online from any device for your convenience.
Differential Equations Methods for the Monge Kantorovich Mass Transfer Problem Book PDF Summary
In this volume, the authors demonstrate under some assumptions on $f $, $f $ that a solution to the classical Monge-Kantorovich problem of optimally rearranging the measure $\mu{ }=f dx$ onto $\mu =f dy$ can be constructed by studying the $p$-Laplacian equation $- \roman{div}(\vert DU_p\vert p-2}Du_p)=f -f $ in the limit as $p\rightarrow\infty$. The idea is to show $u_p\rightarrow u$, where $u$ satisfies $\vert Du\vert\leq 1, -\roman{div}(aDu)=f -f $ for some density $a\geq0$, and then to build a flow by solving a nonautonomous ODE involving $a, Du, f $ and $f $
Detail Book of Differential Equations Methods for the Monge Kantorovich Mass Transfer Problem PDF
- Author : Lawrence C. Evans
- Release : 29 September 1999
- Publisher : American Mathematical Soc.
- ISBN : 9780821809389
- Genre : Mathematics
- Total Page : 81 pages
- Language : English
- PDF File Size : 9,5 Mb
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