Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws

Pierre-Emmanuel Jabin[1]

  • [1] Équipe Tosca, Inria 2004 route des Lucioles BP 93 06902 Sophia Antipolis France Laboratoire Dieudonné Université de Nice Parc Valrose 06108 Nice cedex 02

Séminaire Équations aux dérivées partielles (2008-2009)

  • Volume: 2008-2009, page 1-15

Abstract

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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.

How to cite

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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 2008-2009 (2008-2009): 1-15. <http://eudml.org/doc/11190>.

@article{Jabin2008-2009,
abstract = {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.},
affiliation = {Équipe Tosca, Inria 2004 route des Lucioles BP 93 06902 Sophia Antipolis France Laboratoire Dieudonné Université de Nice Parc Valrose 06108 Nice cedex 02},
author = {Jabin, Pierre-Emmanuel},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {stationary phase; averaging lemma},
language = {eng},
pages = {1-15},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws},
url = {http://eudml.org/doc/11190},
volume = {2008-2009},
year = {2008-2009},
}

TY - JOUR
AU - Jabin, Pierre-Emmanuel
TI - Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws
JO - Séminaire Équations aux dérivées partielles
PY - 2008-2009
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2008-2009
SP - 1
EP - 15
AB - 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.
LA - eng
KW - stationary phase; averaging lemma
UR - http://eudml.org/doc/11190
ER -

References

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