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

How to cite

top

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

top
  1. [1] Blum ( H.) and Rannacher ( R.) .— 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. Zbl0445.35023MR595625
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.