Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem (Memoirs of the American Mathematical Society) - Tapa blanda

Evans, Lawrence C.; Gangbo, Wilfrid

 
9780821809389: Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem (Memoirs of the American Mathematical Society)
Tapa blanda
ISBN 10: 0821809385 ISBN 13: 9780821809389
Editorial: American Mathematical Society, 1999

Sinopsis

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 $- \mathrm {div}(\vert DU_p\vert^{p-2}Du_p)=f^+-f^-$ in the limit as $p\rightarrow\infty$. The idea is to show $u_p\rightarrow u$, where $u$ satisfies $\vert Du\vert\leq 1,-\mathrm {div}(aDu)=f^+-f^-$ for some density $a\geq0$, and then to build a flow by solving a nonautonomous ODE involving $a, Du, f^+$ and $f^-$.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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 $f-$.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
1999
Idioma
Inglés
ISBN 10 
0821809385
ISBN 13 
9780821809389
Encuadernación
Tapa blanda
Número de páginas
66
Contacto del fabricante
no disponible
Persona responsable
no disponible