no. 7
Partial Differential Equations
A semilinear non-classical pseudodifferential boundary value problem in the Sobolev spaces
[Un problème aux limites semilinéaire non-classique pour des opérateurs pseudodifférentiels dans les espaces de Sobolev]

Présenté par : Louis Nirenberg

Egorov, Youri V.1 ; Minh Chuong, Nguyen2 ; Anh Tuan, Dang3
1 Laboratoire des mathématiques pour l'industrie et la physique, UMR 5640, UFRMIG, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France
2 Institute of Mathematics, NCST, PO Box 631, BoHo, 10000 Hanoi, Viet Nam
3 Faculty of Mathematics–Mechanics–Informatics, Hanoi National University, 334 Nguyen Trai Str., Thanh Xuan, Hanoi, Viet Nam
Comptes Rendus. Mathématique, Tome 337 (2003) no. 7, pp. 451-456.

On étudie la résolution d'un problème aux limites semilinéaire non-classique pour des opérateurs pseudodifférentiels dans les espaces de Sobolev Hl,p,q, 1<p<∞, munis de normes dépendant d'un paramètre complexe q.

We study the solvability of a semilinear non-classical pseudodifferential boundary value problem in the Sobolev spaces Hl,p,q, 1<p<∞, depending on a complex parameter q.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2003.08.006
Egorov, Youri V. 1 ; Minh Chuong, Nguyen 2 ; Anh Tuan, Dang 3

1 Laboratoire des mathématiques pour l'industrie et la physique, UMR 5640, UFRMIG, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France
2 Institute of Mathematics, NCST, PO Box 631, BoHo, 10000 Hanoi, Viet Nam
3 Faculty of Mathematics–Mechanics–Informatics, Hanoi National University, 334 Nguyen Trai Str., Thanh Xuan, Hanoi, Viet Nam 
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Egorov, Youri V.; Minh Chuong, Nguyen; Anh Tuan, Dang. A semilinear non-classical pseudodifferential boundary value problem in the Sobolev spaces. Comptes Rendus. Mathématique, Tome 337 (2003) no. 7, pp. 451-456. doi : 10.1016/j.crma.2003.08.006. http://www.numdam.org/articles/10.1016/j.crma.2003.08.006/

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