no. 2
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
Nicaise, Serge1
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, Série 4, Tome 20 (1993) no. 2, pp. 163-191.
Nicaise, Serge 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 
@article{ASNSP_1993_4_20_2_163_0,
     author = {Nicaise, Serge},
     title = {About the {Lam\'e} system in a polygonal or a polyhedral domain and a coupled problem between the {Lam\'e} system and the plate equation. {II} : exact controllability},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {163--191},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 20},
     number = {2},
     year = {1993},
     mrnumber = {1233635},
     zbl = {0815.73035},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1993_4_20_2_163_0/}
}
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
SP  - 163
EP  - 191
VL  - 20
IS  - 2
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1993_4_20_2_163_0/
LA  - en
ID  - ASNSP_1993_4_20_2_163_0
ER  - 
%0 Journal Article
%A Nicaise, Serge
%T 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
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1993
%P 163-191
%V 20
%N 2
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1993_4_20_2_163_0/
%G en
%F ASNSP_1993_4_20_2_163_0
Nicaise, 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, Série 4, Tome 20 (1993) no. 2, pp. 163-191. http://archive.numdam.org/item/ASNSP_1993_4_20_2_163_0/

[1] R.A. Adams, Sobolev spaces, Academic Press, 1975. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[4] M. Dauge, Elliptic boundary value problems on comer domains, Lecture Notes in Math., 1341, Springer-Verlag, 1988. | MR | Zbl

[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. | MR | Zbl

[6] T. Gobert, Une inégalité fondamentale de la théorie de l'élasticité, Bull. Soc. Roy. Sci. Liège, 3-4, 1962, pp. 182-191. | Zbl

[7] P. Grisvard, Théorèmes de traces relatifs à un polyèdre, C.R. Acad. Sci. Paris, Sér. A, 278, 1974, pp. 1581-1583. | MR | Zbl

[8] P. Grisvard, Elliptic problems in nonsmooth domains, Monographs and studies in Math., 24, Pitman, 1985. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[11] P. Grisvard, Singulatirés en élasticité, Arch. Rational Mech. Anal., 107, 1989, pp. 157-180. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[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. | Numdam | MR | Zbl

[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. | Zbl

[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. | Zbl

[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. | MR | Zbl

[20] S. Nicaise, Polygonal interface problems for the biharmonic operator, to appear in Math. Methods Appl. Sc. | MR | Zbl

[21] S. Nicaise, Exact controllability of a pluridimensional coupled problem, to appear in Rev. Mat. Univ. Complut. Madrid. | MR | Zbl

[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). | Numdam | MR | Zbl

[23] T. Von Petersdorff, Randwertprobleme der Elastizitätstheorie für polyeder-Singularitäten und approximation mit randelementmethoden, Thesis, Darmstadt (FRG), 1989. | Zbl

[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. | MR | Zbl

[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. | MR | Zbl