Geodesic
Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws
Jabin, Pierre-Emmanuel1, 2
1 Équipe Tosca, Inria 2004 route des Lucioles BP 93 06902 Sophia Antipolis France
2 Laboratoire Dieudonné Université de Nice Parc Valrose 06108 Nice cedex 02
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2008-2009), Exposé no. 16, 15 p.

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We study several regularizing methods, stationary phase or averaging lemmas for instance. Depending on the regularity assumptions that are made, we show that they can either be derived one from the other or that they lead to different results. Those are applied to Scalar Conservation Laws to precise and better explain the regularity of their solutions.

Jabin, Pierre-Emmanuel 1, 2

1 Équipe Tosca, Inria 2004 route des Lucioles BP 93 06902 Sophia Antipolis France
2 Laboratoire Dieudonné Université de Nice Parc Valrose 06108 Nice cedex 02 
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     title = {Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws},
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Jabin, Pierre-Emmanuel. Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2008-2009), Exposé no. 16, 15 p.. http://geodesic.mathdoc.fr/item/SEDP_2008-2009____A16_0/