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Transport Rays and Applications to Hamilton–Jacobi Equations

TitleTransport Rays and Applications to Hamilton–Jacobi Equations
Publication TypeBook Chapter
Year of Publication2008
AuthorsBianchini, S, Gloyer, M
Book TitleNonlinear PDE’s and Applications : C.I.M.E. Summer School, Cetraro, Italy 2008 / Stefano Bianchini, Eric A. Carlen, Alexander Mielke, Cédric Villani. Eds. Luigi Ambrosio, Giuseppe Savaré. - Berlin : Springer, 2011. - (Lecture Notes in Mathematics ; 20
ISBN Number978-3-642-21718-0

The aim of these notes is to introduce the readers to the use of the Disintegration Theorem for measures as an effective tool for reducing problems in transport equations to simpler ones. The basic idea is to partition Rd into one dimensional sets, on which the problem under consideration becomes one space dimensional (and thus much easier, hopefully).


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