About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. II : exact controllability
- [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
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)
- Volume: 20, Issue: 2, page 163-191
- ISSN: 0391-173X
Access Full Article
topHow to cite
topNicaise, Serge. "About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. II : exact controllability." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.2 (1993): 163-191. <http://eudml.org/doc/84145>.
@article{Nicaise1993,
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 = {Nicaise, Serge},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {dynamical problems; regularity; real Hilbert spaces; weak solution; crack},
language = {eng},
number = {2},
pages = {163-191},
publisher = {Scuola normale superiore},
title = {About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. II : exact controllability},
url = {http://eudml.org/doc/84145},
volume = {20},
year = {1993},
}
TY - JOUR
AU - Nicaise, Serge
TI - About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. II : exact controllability
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 2
SP - 163
EP - 191
LA - eng
KW - dynamical problems; regularity; real Hilbert spaces; weak solution; crack
UR - http://eudml.org/doc/84145
ER -
References
top- [1] R.A. Adams, Sobolev spaces, Academic Press, 1975. Zbl0314.46030MR450957
- [2] H. Blum - R. Rannacher, On the boundary value problem of the biharmonic operator on domains with angular corners, Math. Math. in the Appl. Sc., 2, 1980, pp. 556-581. Zbl0445.35023MR595625
- [3] P.G. Ciarlet - H. Le Dret - R. Nzengwa, Junctions between three-dimension and two-dimensional linearly elastic structures, J. Math. Pures Appl., 68, 1989, pp. 261-295. Zbl0661.73013MR1025905
- [4] M. Dauge, Elliptic boundary value problems on comer domains, Lecture Notes in Math., 1341, Springer-Verlag, 1988. Zbl0668.35001MR961439
- [5] M. Dauge, Stationary Stokes and Navier-Stokes systems on two-or three-dimensional domains with corners. I: Linearized equations, SIAM J. Math. Anal., 20, 1989, pp. 74-97. Zbl0681.35071MR977489
- [6] T. Gobert, Une inégalité fondamentale de la théorie de l'élasticité, Bull. Soc. Roy. Sci. Liège, 3-4, 1962, pp. 182-191. Zbl0112.38902
- [7] P. Grisvard, Théorèmes de traces relatifs à un polyèdre, C.R. Acad. Sci. Paris, Sér. A, 278, 1974, pp. 1581-1583. Zbl0296.46038MR352963
- [8] P. Grisvard, Elliptic problems in nonsmooth domains, Monographs and studies in Math., 24, Pitman, 1985. Zbl0695.35060MR775683
- [9] P. Grisvard, Problèmes aux limites dans les polygones, mode d'emploi, Bulletin de la direction des études et recherches de l'E.D.F., Sér. C, 1, 1986, pp. 21-59. Zbl0623.35031MR840970
- [10] P. Grisvard, Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités, J. Math. Pures Appl., 68, 1989, pp. 215-259. Zbl0683.49012MR1010769
- [11] P. Grisvard, Singulatirés en élasticité, Arch. Rational Mech. Anal., 107, 1989, pp. 157-180. Zbl0706.73013MR996909
- [12] V.A. Kondratiev, Boundary value problems for elliptic equations in domains with conical or angular points, Trans. Moscow Math. Soc., 16, 1967, pp. 227-313. Zbl0194.13405MR226187
- [13] V.A. Kozlov - V.G. Maz'ya, Spectral properties of the operator bundles generated by elliptic boundary value problems in a cone, Functional Anal. Appl., 22, 1988, pp. 114-121. Zbl0672.35050MR947604
- [14] V.A. Kozlov - V.G. Maz'ya - C. Schwab, On the first boundary value problem of 3-D elasticity on conical domains, Preprint University of Maryland, 1989.
- [15] J.-L. Lions, Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, tome 1, RMA 8, Masson, 1988. Zbl0653.93002MR953547
- [16] R. Lozi, Résultats numériques de régularité du problème de Stokes et du laplacien itéré dans un polygone, RAIRO, Anal. Numér., 12, 1978, pp. 267-282. Zbl0385.65025MR509976
- [17] V.G. Maz'ya - B.A. Plamenevskii, 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, Amer. Math. Soc. Transl. (2), 123, 1984, pp. 1-56. Zbl0554.35035
- [18] V.G. Maz'ya - B.A. Plamenevskii, On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points, Amer. Math. Soc. Transl. (2), 123, 1984, pp. 109-124. Zbl0597.73027
- [19] M.T. Niane, Contrôlabilité exacte de l'équation des plaques vibrantes dans un polygone, C.R. Acad. Sci. Paris, Sér. I, 307, 1988, pp. 517-521. Zbl0661.73034MR966254
- [20] S. Nicaise, Polygonal interface problems for the biharmonic operator, to appear in Math. Methods Appl. Sc. Zbl0820.35041MR1257586
- [21] S. Nicaise, Exact controllability of a pluridimensional coupled problem, to appear in Rev. Mat. Univ. Complut. Madrid. Zbl0760.35012MR1183428
- [22] S. Nicaise, About the Lamé system in a polygonal domain or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. I: Regularity of the solutions, to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4). Zbl0782.73041MR1205404
- [23] T. Von Petersdorff, Randwertprobleme der Elastizitätstheorie für polyeder-Singularitäten und approximation mit randelementmethoden, Thesis, Darmstadt (FRG), 1989. Zbl0709.73009
- [24] A.M. Sändig - U. Richter - R. Sändig, The regularity of boundary value problems for the Lamé equations in a polygonal domain, Rostock. Math. Kolloq., 36, 1989, pp. 21-50. Zbl0674.35024MR1006837
- [25] J.B. Seif, On the Green's function for the biharmonic equation in an infinite wedge, Trans. Amer. Math. Soc., 182, 1973, pp. 241-260. Zbl0271.31005MR325989
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.