Existence of a solution to - div a ( x , D u ) = f with a ( x , ξ ) a maximal monotone graph in ξ for every x given

François Murat[1]

  • [1] Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie (Paris 6)

Séminaire Équations aux dérivées partielles (2002-2003)

  • Volume: 2002-2003, page 1-4

How to cite

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Murat, François. "Existence of a solution to $-\hbox{\rm div}\, a(x,Du) = f$ with $a(x,\xi )$ a maximal monotone graph in $\xi $ for every $x$ given." Séminaire Équations aux dérivées partielles 2002-2003 (2002-2003): 1-4. <http://eudml.org/doc/11070>.

@article{Murat2002-2003,
affiliation = {Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie (Paris 6)},
author = {Murat, François},
journal = {Séminaire Équations aux dérivées partielles},
language = {eng},
pages = {1-4},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Existence of a solution to $-\hbox\{\rm div\}\, a(x,Du) = f$ with $a(x,\xi )$ a maximal monotone graph in $\xi $ for every $x$ given},
url = {http://eudml.org/doc/11070},
volume = {2002-2003},
year = {2002-2003},
}

TY - JOUR
AU - Murat, François
TI - Existence of a solution to $-\hbox{\rm div}\, a(x,Du) = f$ with $a(x,\xi )$ a maximal monotone graph in $\xi $ for every $x$ given
JO - Séminaire Équations aux dérivées partielles
PY - 2002-2003
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2002-2003
SP - 1
EP - 4
LA - eng
UR - http://eudml.org/doc/11070
ER -

References

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  1. Valeria Chiadò Piat, Gianni Dal Maso & Anneliese Defranceschi, G -convergence of monotone operators, Ann. Inst. H. Poincaré Anal. Non linéaire, 7 (1990), 123–160. Zbl0731.35033MR1065871
  2. Gilles Francfort, François Murat & Luc Tartar, Monotone operators in divergence form with x -dependent multivalued graphs, Boll. Un. Mat. Ital., (2003), to appear. Zbl1115.35047MR2044260
  3. Gilles Francfort, François Murat & Luc Tartar, Homogenization of monotone operators in divergence form with x -dependent multivalued graphs, Zbl1180.35077

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