About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. I : regularity of the solutions
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 19 (1992) no. 3, pp. 327-361.
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
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     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. {I} : regularity of the solutions},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {327--361},
     publisher = {Scuola normale superiore},
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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. I : regularity of the solutions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 19 (1992) no. 3, pp. 327-361. http://archive.numdam.org/item/ASNSP_1992_4_19_3_327_0/

[1] H. Blum - R. Rannacher, On the boundary value problem of the biharmonic operator on domains with angular comers, Math. Methods Appl. Sci., 2, 1980, pp. 556-581. | MR | Zbl

[2] 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

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

[4] M. Dauge, Stationary Stokes and Navier-Stokes systems on two-or three-dimensional domains with comers, I: Linearized equations, SIAM J. Math. Anal., 20, 1989, pp. 74-97. | MR | Zbl

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

[6] P. Grisvard, Elliptic problems in nonsmooth domains, Monographs Stud. Math., 24, Pitman, 1985. | MR | Zbl

[7] P. Grisvard, Problèmes aux limites dans les polygones, mode d'emploi, Bulletin de la direction des études et recherches de l'E.D.F., série C, 1, 1986, pp. 21-59. | MR | Zbl

[8] 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

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

[10] 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

[11] 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

[12] 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.

[13] J.-L. Lions, Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, tome 1, RMA 8, Masson, 1988. | MR | Zbl

[14] R. Lozi, Résultats numériques de régularité du problème de Stokes et du laplacien itéré dans un polygone, RAIRO, Modél. Math. Anal. Numér., 12, 1978, pp. 267-282. | Numdam | MR | Zbl

[15] 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

[16] 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

[17] M.T. Niane, Contrôlabilité exacte de l'équation des plaques vibrantes dans un polygone, C.R. Acad. Sci. Paris, Sér. I Math., 307, 1988, pp. 517-521. | MR | Zbl

[18] S. Nicaise, Polygonal interface problems for the biharmonic operator, to appear. | MR

[19] S. Nicaise, Exact controllability of a pluridimensional coupled problem, Revista Matematica de la Universidad Complutense de Madrid, to appear. | MR | Zbl

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

[21] A.M. Sändig - U. Richter - R. Sändig, The regularity of boundary value problem for the Lamé equations in a polygonal domain, Rostock. Math. Kolloq., 36, 1989, p. 21-50. | MR | Zbl

[22] 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