@article{AFST_1992_6_1_2_187_0,
author = {Abderrahman Maghnouji and Serge Nicaise},
title = {On a coupled problem between the plate equation and the membrane equation on polygons},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {187--209},
year = {1992},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 6, 1},
number = {2},
doi = {10.5802/afst.745},
mrnumber = {1202071},
zbl = {0794.35046},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.745/}
}
TY - JOUR AU - Abderrahman Maghnouji AU - Serge Nicaise TI - On a coupled problem between the plate equation and the membrane equation on polygons JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1992 SP - 187 EP - 209 VL - 1 IS - 2 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.745/ DO - 10.5802/afst.745 LA - en ID - AFST_1992_6_1_2_187_0 ER -
%0 Journal Article %A Abderrahman Maghnouji %A Serge Nicaise %T On a coupled problem between the plate equation and the membrane equation on polygons %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1992 %P 187-209 %V 1 %N 2 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.745/ %R 10.5802/afst.745 %G en %F AFST_1992_6_1_2_187_0
Abderrahman Maghnouji; Serge Nicaise. On a coupled problem between the plate equation and the membrane equation on polygons. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 1 (1992) no. 2, pp. 187-209. doi: 10.5802/afst.745
[1] ) and ) .- On the boundary value problem of the biharmonic operator on domains with angular corners, Math. Meth. in the Appl. Sc., 2 (1980) pp. 556-581. | Zbl | MR
[2] ) .- Elliptic boundary value problems in corner domains. Smoothness and asymptotics of solutions, L.N. in Math., 1341, Springer-Verlag (1988). | Zbl | MR
[3] ) and ) . - Oblique derivative and interface problems on polygonal domains and networks, Comm. in P.D.E., 14 (1989) pp. 1147-1192. | Zbl | MR
[4] ) . - Elliptic problems in nonsmooth domains, Monographs and Studies in Mathematics 21, Pitman, Boston (1985). | Zbl | MR
[5] ) .- Perturbation theory for linear operators, Springer-Verlag (1966). | Zbl | MR
[6] ) . - Boundary value problems for elliptic equations in domains with conical or angular points, Trans. Moscow Math. Soc., 16 (1967) pp. 227-313. | Zbl | MR
[7] ) and) .- Estimates in Lp and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary, A.M.S. Trans. (2), 123 ( 1984) pp. 1-56. | Zbl
[8] ) . - Les méthodes directes en théorie des équations elliptiques, Masson, Paris (1967). | MR
[9] ) .- Problèmes aux limites sur les réseaux deux dimensionnels polygonaux topologiques, J. Math. Pures et Appl., 67 (1988) pp. 93-103.
[10] ) . - Polygonal interface problems - Higher regularity results, Comm. in P.D.E., 15 (1990) pp. 1475-1508. | Zbl | MR
[11] ) .- Differential equations in Hilbert spaces and applications to boundary value problems in nonsmooth domains, Journ. of Functional Analysis, 96 (1991) pp. 195-218. | Zbl | MR
[12] ) . - Polygonal interface problems for the biharmonic operator, Pub. IRMA, Lille, 23, n° XI (1991). | Zbl | MR
Cité par Sources :