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

Murat, François

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

Murat, François ¹

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

Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2002-2003), Exposé no. 4, 4 p.

MR Zbl

Affiliations des auteurs :

Murat, François ¹

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

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     author = {Murat, Fran\c{c}ois},
     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},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:4},
     pages = {1--4},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2002-2003},
     zbl = {02124130},
     mrnumber = {2030699},
     language = {en},
     url = {http://archive.numdam.org/item/SEDP_2002-2003____A4_0/}
}

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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 (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2002-2003), Exposé no. 4, 4 p. http://archive.numdam.org/item/SEDP_2002-2003____A4_0/

Bibliographie
Cité par

[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. | EuDML | Numdam | MR | Zbl

[2] Gilles Francfort, François Murat & Luc Tartar, Monotone operators in divergence form with $x$ -dependent multivalued graphs, Boll. Un. Mat. Ital., (2003), to appear. | EuDML | MR | Zbl

[3] Gilles Francfort, François Murat & Luc Tartar, Homogenization of monotone operators in divergence form with $x$ -dependent multivalued graphs,