# Coefficients of the singularities on domains with conical points

Banach Center Publications (1992)

- Volume: 27, Issue: 1, page 91-99
- ISSN: 0137-6934

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topDauge, Monique, and Nicaise, Serge. "Coefficients of the singularities on domains with conical points." Banach Center Publications 27.1 (1992): 91-99. <http://eudml.org/doc/262621>.

@article{Dauge1992,

abstract = {As a model for elliptic boundary value problems, we consider the Dirichlet problem for an elliptic operator. Solutions have singular expansions near the conical points of the domain. We give formulas for the coefficients in these expansions.},

author = {Dauge, Monique, Nicaise, Serge},

journal = {Banach Center Publications},

keywords = {singular part of solutions; conical points},

language = {eng},

number = {1},

pages = {91-99},

title = {Coefficients of the singularities on domains with conical points},

url = {http://eudml.org/doc/262621},

volume = {27},

year = {1992},

}

TY - JOUR

AU - Dauge, Monique

AU - Nicaise, Serge

TI - Coefficients of the singularities on domains with conical points

JO - Banach Center Publications

PY - 1992

VL - 27

IS - 1

SP - 91

EP - 99

AB - As a model for elliptic boundary value problems, we consider the Dirichlet problem for an elliptic operator. Solutions have singular expansions near the conical points of the domain. We give formulas for the coefficients in these expansions.

LA - eng

KW - singular part of solutions; conical points

UR - http://eudml.org/doc/262621

ER -

## References

top- [1] M. Dauge, Elliptic Boundary Value Problems in Corner Domains--% Smoothness and Asymptotics of Solutions, Lecture Notes in Math. 1341, Springer, Berlin 1988.
- [2] M. Dauge, S. Nicaise, M. Bourlard et M. S. Lubuma, Coefficients des singularités pour des problèmes aux limites elliptiques sur un domaine à points coniques I: résultats généraux pour le problème de Dirichlet, Math. Modelling Numer. Anal. 24 (1) (1990), 27-52. Zbl0691.35023
- [3] M. Dauge, S. Nicaise, M. Bourlard et M. S. Lubuma, Coefficients des singularités pour des problèmes aux limites elliptiques sur un domaine à points coniques II: quelques opérateurs particuliers, ibid. 24 (3) (1990), 343-367. Zbl0723.35035
- [4] V. A. Kondrat'ev, Boundary-value problems for elliptic equations in domains with conical or angular points, Trans. Moscow Math. Soc. 16 (1967), 227-313. Zbl0194.13405
- [5] V. A. Kozlov and V. G. Maz’ya, Estimates of ${L}_{p}$-means and asymptotics of solutions of elliptic boundary value problems in a cone, II. Operators with variable coefficients, Math. Nachr. 137 (1988), 113-139 (in Russian).
- [6] V. G. Maz'ya and B. A. Plamenevskiĭ, Coefficients in the asymptotics of the solutions of an elliptic boundary value problem in a cone, Amer. Math. Soc. Transl. (2) 123 (1984), 57-88.
- [7] V. G. Maz'ya and B. A. Plamenevskiĭ, On the asymptotics of the fundamental solution of elliptic boundary value problem in a region with conical points, Selecta Math. Sov. 4 (4) (1985), 363-397.

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