Singularités des problèmes aux limites dans des polyèdres

P. Grisvard

Séminaire Équations aux dérivées partielles (Polytechnique) (1981-1982)

  • page 1-19

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Grisvard, P.. "Singularités des problèmes aux limites dans des polyèdres." Séminaire Équations aux dérivées partielles (Polytechnique) (1981-1982): 1-19. <http://eudml.org/doc/111817>.

@article{Grisvard1981-1982,
author = {Grisvard, P.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Dirichlet problem; polyhedric domain; singularities of solutions},
language = {fre},
pages = {1-19},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Singularités des problèmes aux limites dans des polyèdres},
url = {http://eudml.org/doc/111817},
year = {1981-1982},
}

TY - JOUR
AU - Grisvard, P.
TI - Singularités des problèmes aux limites dans des polyèdres
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1981-1982
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 19
LA - fre
KW - Dirichlet problem; polyhedric domain; singularities of solutions
UR - http://eudml.org/doc/111817
ER -

References

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  1. [1] Bouhafa: Thèse de 3ème cycle, Nice, 1982. 
  2. [2] Eskin: Boundary value problems for elliptic pseudo-differential equations, Nauka, Moscou, 1973. Zbl0458.35002
  3. [3] Fichera: Comportamento asintotico del campo elettrico e della densita elettrica in prossimità dei un singolari della superficie conduttore, Rendiconti del Seminario Matematico dell' Università e del Politecnico di Torino, Vol. 32, p. 111-143, 1973-74. Zbl0318.35007MR588372
  4. [4] Grisvard: Alternative de Fredholm relative au problème de Dirichlet dans un polygone ou un polyèdre, Bollettino U.M.I.1972, p; 132-164. Zbl0277.35035MR312068
  5. [5] Grisvard: Boundary value problems in domains with non smooth boundaries, Lecture Notes # 19, University of Maryland, 1980. 
  6. [6] Kondratiev: Boundary value problems for elliptic equations in domains with conical or angular points, Trudy Moskovkogo Mat. Obschetsva, t.16, 1967, pp.209-292 (et Transactions of the Moscow Mat. Soc. 1967 pp.227-313). Zbl0194.13405MR226187
  7. [7] Kondratiev: The smoothness of a solution of Dirichlet's problem for 2nd order elliptic equations in a region with a piecewise smooth boundary, Differentsial'nye Uravneniya, Vol. 6, n°10, 1970 (et Differential equations, Vol. 6, 1970, pp. 1392-1401). Zbl0257.35025
  8. [8] Maz'ja et Plamenevskii: Lp estimates of solutions of elliptic boundary value problems in domains with edges, Trugy Moskovkogo Mat. Obschetsva, t. 37, 1978 (et Transactions of the Moscow Mathematical Society, 1980, n°1, p.49-97). Zbl0453.35025
  9. [9] Moussaoui et Sadallah: Régularité des coefficients de propagation de singularités pour l'équation de la chaleur dans un ouvert plan polygonal, C. R. Acad. Sc. Paris, t. 293, n°5, 1981, pp.297-300. Zbl0476.35036MR638506
  10. [10] Nikishkin: Singularitiesof the solution to the Dirichlet problem for a 2nd order equation in a neighborhood of an edge, Vestnik Moskov. Univ. Mat.34, n° 2, 1979, pp.51-62 (et Moskow University Mathematics Bulletin, 34, n°2, pp.53-64). Zbl0433.35027

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