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Lawrence C. Evans
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دانلود کتاب Differential Equations Methods for the Monge-Kantorevich Mass Transfer Problem
by Lawrence C. Evans|
|
عنوان فارسی: معادلات دیفرانسیل مواد و روش ها برای مشکل انتقال مونگ-Kantorevich توده |
دانلود کتاب
جزییات کتاب
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 $- mathrm{div}(vert DU_pvert^{p-2}Du_p)=f^+-f^-$ in the limit as $p
ightarrowinfty$. The idea is to show $u_p
ightarrow u$, where $u$ satisfies $vert Duvertleq 1,-mathrm{div}(aDu)=f^+-f^-$ for some density $ageq0$, and then to build a flow by solving a nonautonomous ODE involving $a, Du, f^+$ and $f^-$.
ightarrowinfty$. The idea is to show $u_p
ightarrow u$, where $u$ satisfies $vert Duvertleq 1,-mathrm{div}(aDu)=f^+-f^-$ for some density $ageq0$, and then to build a flow by solving a nonautonomous ODE involving $a, Du, f^+$ and $f^-$.
کتاب های مرتبط
Differential Equations Methods for the Monge-Kantorevich Mass Transfer...
Lawrence C. Evans, Wilfrid Gangbo, 1999 
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