Abstract
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).
Keywords
- Jacobi Equation
- Maximal Monotone Operator
- Unique Disintegration
- Optimal Couple
- Measure Algebra
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© 2011 Springer-Verlag Berlin Heidelberg
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Bianchini, S., Gloyer, M. (2011). Transport Rays and Applications to Hamilton–Jacobi Equations. In: Nonlinear PDE’s and Applications. Lecture Notes in Mathematics(), vol 2028. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21861-3_1
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DOI: https://doi.org/10.1007/978-3-642-21861-3_1
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