Regularity of the solution of some transmission problems in domains with cuspidal point

W. Chickouche[1]; Serge Nicaise[2]

  • [1] Université de Jijel, Département de Mathematiques, B.P. 98, Ouled Aissa, 18000 Jijel, Algeria
  • [2] Université de Valenciennes et du Hainaut Cambrésis, MACS, Institut des Sciences et Techniques de Valenciennes, F-59313 - Valenciennes Cedex 9, France

Annales de la faculté des sciences de Toulouse Mathématiques (2007)

  • Volume: 16, Issue: 3, page 529-560
  • ISSN: 0240-2963

Abstract

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Regularity results for transmission problems in domains with (outgoing) cuspidal points are considered. We prove in some special but generic situations that the solution is piecewise in H 2 .

How to cite

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Chickouche, W., and Nicaise, Serge. "Regularity of the solution of some transmission problems in domains with cuspidal point." Annales de la faculté des sciences de Toulouse Mathématiques 16.3 (2007): 529-560. <http://eudml.org/doc/10061>.

@article{Chickouche2007,
abstract = {Regularity results for transmission problems in domains with (outgoing) cuspidal points are considered. We prove in some special but generic situations that the solution is piecewise in $H^2$.},
affiliation = {Université de Jijel, Département de Mathematiques, B.P. 98, Ouled Aissa, 18000 Jijel, Algeria; Université de Valenciennes et du Hainaut Cambrésis, MACS, Institut des Sciences et Techniques de Valenciennes, F-59313 - Valenciennes Cedex 9, France},
author = {Chickouche, W., Nicaise, Serge},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
language = {eng},
number = {3},
pages = {529-560},
publisher = {Université Paul Sabatier, Toulouse},
title = {Regularity of the solution of some transmission problems in domains with cuspidal point},
url = {http://eudml.org/doc/10061},
volume = {16},
year = {2007},
}

TY - JOUR
AU - Chickouche, W.
AU - Nicaise, Serge
TI - Regularity of the solution of some transmission problems in domains with cuspidal point
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2007
PB - Université Paul Sabatier, Toulouse
VL - 16
IS - 3
SP - 529
EP - 560
AB - Regularity results for transmission problems in domains with (outgoing) cuspidal points are considered. We prove in some special but generic situations that the solution is piecewise in $H^2$.
LA - eng
UR - http://eudml.org/doc/10061
ER -

References

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  11. Nicaise (S.).— Polygonal interface problems, Peter Lang, Berlin, 1993. Zbl0794.35040MR1236228
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