Propriétés spectrales des valeurs propres intérieures de transmission
Luc Robbiano[1]
- [1] Laboratoire de Mathématiques de Versailles Université de Versailles St Quentin & CNRS UMR 8100 45, Avenue des États-Unis 78035 Versailles France
Séminaire Laurent Schwartz — EDP et applications (2013-2014)
- page 1-9
- ISSN: 2266-0607
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topRobbiano, Luc. "Propriétés spectrales des valeurs propres intérieures de transmission." Séminaire Laurent Schwartz — EDP et applications (2013-2014): 1-9. <http://eudml.org/doc/275741>.
@article{Robbiano2013-2014,
abstract = {Nous présentons ici quelques résultats concernant les valeurs propres intérieures de transmission et nous donnons, sous certaines hypothèses une asymptotique de la fonction de comptage de Weyl.},
affiliation = {Laboratoire de Mathématiques de Versailles Université de Versailles St Quentin & CNRS UMR 8100 45, Avenue des États-Unis 78035 Versailles France},
author = {Robbiano, Luc},
journal = {Séminaire Laurent Schwartz — EDP et applications},
language = {fre},
pages = {1-9},
publisher = {Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Propriétés spectrales des valeurs propres intérieures de transmission},
url = {http://eudml.org/doc/275741},
year = {2013-2014},
}
TY - JOUR
AU - Robbiano, Luc
TI - Propriétés spectrales des valeurs propres intérieures de transmission
JO - Séminaire Laurent Schwartz — EDP et applications
PY - 2013-2014
PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
SP - 1
EP - 9
AB - Nous présentons ici quelques résultats concernant les valeurs propres intérieures de transmission et nous donnons, sous certaines hypothèses une asymptotique de la fonction de comptage de Weyl.
LA - fre
UR - http://eudml.org/doc/275741
ER -
References
top- Agmon Shmuel, Lectures on elliptic boundary value problems. Van Nostrand Mathematical Studies, No. 2, 1965. Zbl0142.37401MR178246
- Cakoni Fioralba, Çayören Mehmet, Colton David, Transmission eigenvalues and the nondestructive testing of dielectrics. Inverse Problems 24 (2008) 065016. Zbl1157.35497MR2456963
- Cakoni Fioralba, Colton David, Haddar Houssem, The interior transmission problem for regions with cavities. SIAM J. Math. Anal. 42 (2010) 145–162. Zbl1209.35135MR2596549
- Cakoni Fioralba, Gintides Drossos, Haddar Houssem, The existence of an infinite discrete set of transmission eigenvalues. SIAM J. Math. Anal. 42 (2010) 237–255. Zbl1210.35282MR2596553
- Cakoni Fioralba, Haddar Houssem, Transmission Eigenvalues in Inverse Scattering Theory. http://hal.inria.fr/hal-00741615 Zbl1316.35297
- Colton David, Kirsch Andreas, Päivärinta Lassi, Far-field patterns for acoustic waves in an inhomogeneous medium. SIAM J. Math. Anal. 20 (1989) 1472–1483. Zbl0681.76084MR1019312
- Colton David, Kress Rainer, Inverse acoustic and electromagnetic scattering theory. Applied Mathematical Sciences, 93, Springer-Verlag, Berlin, 1992. Zbl0760.35053MR1183732
- Dimassi Mouez , Petkov Vesselin, Upper bound for the counting function of interior transmission eigenvalues, http://arxiv.org/abs/1308.2594. Zbl1192.35037
- Faierman Melvin, Transmission eigenvalues for parameter-elliptic boundary problems, preprint. Zbl0964.35034
- Hitrik Michael, Krupchyk Katsiaryna, Ola Petri, Päivärinta Lassi. Transmission eigenvalues for operators with constant coefficients. SIAM J. Math. Anal. 42 (2010) 2965–2986. Zbl1257.35084MR2745799
- Hitrik Michael, Krupchyk Katsiaryna, Ola Petri, Päivärinta Lassi, Transmission eigenvalues for elliptic operators. SIAM J. Math. Anal. 43 (2011) 2630–2639. Zbl1233.35148MR2873234
- Hitrik Michael, Krupchyk Katsiaryna, Ola Petri, Päivärinta Lassi, The interior transmission problem and bounds on transmission eigenvalues, http://arxiv.org/abs/1009.5640. Zbl1241.47057
- Karamata, J., Neuer Beweis und Verallgemeinerung einiger Tauberian-Sätze. Math. Z. 33 (1931) 294–299. Zbl0001.01802MR1545213
- Lakshtanov Evgeny, Vainberg Boris, Ellipticity in the Interior Transmission Problem in Anisotropic Media. SIAM J. Math. Anal. 44 (2012) 1165–1174. Zbl1245.35126MR2914264
- Lakshtanov Evgeny, Vainberg Boris, Remarks on interior transmission eigenvalues, Weyl formula and branching billiards. J. Phys. A : Math. Theor 45 125202. Zbl1245.81290MR2902328
- Lakshtanov Evgeny, Vainberg Boris, Bounds on positive interior transmission eigenvalues. http://arxiv.org/abs/1206.3782. Zbl1302.35276MR2987908
- Lakshtanov Evgeny, Vainberg Boris, Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem. http://arxiv.org/abs/1212.6785. Zbl1285.35059MR3116198
- Lakshtanov Evgeny, Vainberg Boris, Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues. http://arxiv.org/abs/1401.6213. Zbl1331.35252
- Malliavin, Paul, Un théorème taubérien relié aux estimations de valeurs propres. Séminaire Jean Leray (1962-1963) 224–231 http://www.numdam.org/item?id=SJL_1962-1963____224_0.
- Päivärinta Lassi, Sylvester John, Transmission eigenvalues. SIAM J. Math. Anal. 40 (2008) 738–753. Zbl1159.81411MR2438784
- Petkov Vesselin, Vodev Georgi Asymptotics of the number of the interior transmission eigenvalues. http://arxiv.org/abs/1403.3949. Zbl0801.35099
- Pham Ha, Stefanov Plamen, Weyl asymptotics of the transmission eigenvalues for a constant index of refraction. http://arxiv.org/abs/1309.3616. Zbl06377647
- Robbiano Luc, Spectral analysis on interior transmission eigenvalues. Inverse Problems 29 (2013) 104001 Zbl1296.35105MR3116196
- Robbiano Luc, Counting function for interior transmission eigenvalues. http://hal.inria.fr/hal-00875903. Zbl1332.35242
- Sylvester John, Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators. SIAM J. Math. Anal. 44 (2012) 341–354. Zbl1238.81172MR2888291
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