On a coupled problem between the plate equation and the membrane equation on polygons

Abderrahman Maghnouji; Serge Nicaise[1]

  • [1] Université de Valenciennes et du Hainaut Cambrésis, MACS, Le Mont Houy, 59313 Valenciennes Cedex 9, France. http://www.univ-valenciennes.fr/macs/Serge.Nicaise

Annales de la Faculté des sciences de Toulouse : Mathématiques (1992)

  • Volume: 1, Issue: 2, page 187-209
  • ISSN: 0240-2963

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Maghnouji, Abderrahman, and Nicaise, Serge. "On a coupled problem between the plate equation and the membrane equation on polygons." Annales de la Faculté des sciences de Toulouse : Mathématiques 1.2 (1992): 187-209. <http://eudml.org/doc/73300>.

@article{Maghnouji1992,
affiliation = {Université de Valenciennes et du Hainaut Cambrésis, MACS, Le Mont Houy, 59313 Valenciennes Cedex 9, France. http://www.univ-valenciennes.fr/macs/Serge.Nicaise},
author = {Maghnouji, Abderrahman, Nicaise, Serge},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {interface problem; polygonal domains; biharmonic operator; Laplace operator; expansion of the variational solution into regular and singular parts},
language = {eng},
number = {2},
pages = {187-209},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On a coupled problem between the plate equation and the membrane equation on polygons},
url = {http://eudml.org/doc/73300},
volume = {1},
year = {1992},
}

TY - JOUR
AU - Maghnouji, Abderrahman
AU - Nicaise, Serge
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
PB - UNIVERSITE PAUL SABATIER
VL - 1
IS - 2
SP - 187
EP - 209
LA - eng
KW - interface problem; polygonal domains; biharmonic operator; Laplace operator; expansion of the variational solution into regular and singular parts
UR - http://eudml.org/doc/73300
ER -

References

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  2. [2] Dauge ( M.) .— Elliptic boundary value problems in corner domains. Smoothness and asymptotics of solutions, L.N. in Math., 1341, Springer-Verlag (1988). Zbl0668.35001MR961439
  3. [3] Dauge ( M.) and Nicaise ( S.) . - Oblique derivative and interface problems on polygonal domains and networks, Comm. in P.D.E., 14 (1989) pp. 1147-1192. Zbl0727.35037MR1017069
  4. [4] Grisvard ( P.) . — Elliptic problems in nonsmooth domains, Monographs and Studies in Mathematics21, Pitman, Boston (1985). Zbl0695.35060MR775683
  5. [5] Kato ( T.) .— Perturbation theory for linear operators, Springer-Verlag (1966). Zbl0148.12601MR203473
  6. [6] Kondratiev ( V.A.) . - Boundary value problems for elliptic equations in domains with conical or angular points, Trans. Moscow Math. Soc., 16 (1967) pp. 227-313. Zbl0194.13405MR226187
  7. [7] MAZ'YA ( V.G. ) and Plamenevskii ( B.A.) .— 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. Zbl0554.35035
  8. [8] Nečas ( J.) . — Les méthodes directes en théorie des équations elliptiques, Masson, Paris (1967). MR227584
  9. [9] Nicaise ( S.) .— Problèmes aux limites sur les réseaux deux dimensionnels polygonaux topologiques, J. Math. Pures et Appl., 67 (1988) pp. 93-103. 
  10. [10] Nicaise ( S.) . — Polygonal interface problems - Higher regularity results, Comm. in P.D.E., 15 (1990) pp. 1475-1508. Zbl0731.35030MR1077475
  11. [11] Nicaise ( S.) .— Differential equations in Hilbert spaces and applications to boundary value problems in nonsmooth domains, Journ. of Functional Analysis, 96 (1991) pp. 195-218. Zbl0725.34066MR1101257
  12. [12] Nicaise ( S.) . - Polygonal interface problems for the biharmonic operator, Pub. IRMA, Lille, 23, n° XI (1991). Zbl0731.35030MR1077475

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