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.
@article{SEDP_2008-2009____A16_0,
author = {Jabin, Pierre-Emmanuel},
title = {Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
note = {talk:16},
pages = {1--15},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2008-2009},
language = {en},
url = {http://www.numdam.org/item/SEDP_2008-2009____A16_0/}
}
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 (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:16 PY - 2008-2009 SP - 1 EP - 15 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/item/SEDP_2008-2009____A16_0/ LA - en ID - SEDP_2008-2009____A16_0 ER -
%0 Journal Article %A Jabin, Pierre-Emmanuel %T Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:16 %D 2008-2009 %P 1-15 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/item/SEDP_2008-2009____A16_0/ %G en %F SEDP_2008-2009____A16_0
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://www.numdam.org/item/SEDP_2008-2009____A16_0/
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