Coefficients of the singularities on domains with conical points

Monique Dauge; Serge Nicaise

Banach Center Publications (1992)

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

Abstract

top
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.

How to cite

top

Dauge, 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. [1] M. Dauge, Elliptic Boundary Value Problems in Corner Domains--% Smoothness and Asymptotics of Solutions, Lecture Notes in Math. 1341, Springer, Berlin 1988. 
  2. [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. [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. [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. [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. [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. [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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.