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K. Pankrashkin. On the Discrete Spectrum of Robin Laplacians in Conical Domains. Mathematical modelling of natural phenomena, Tome 11 (2016) no. 2, pp. 100-110. doi: 10.1051/mmnp/201611208
@article{10_1051_mmnp_201611208,
author = {K. Pankrashkin},
title = {On the {Discrete} {Spectrum} of {Robin} {Laplacians} in {Conical} {Domains}},
journal = {Mathematical modelling of natural phenomena},
pages = {100--110},
year = {2016},
volume = {11},
number = {2},
doi = {10.1051/mmnp/201611208},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/201611208/}
}
TY - JOUR AU - K. Pankrashkin TI - On the Discrete Spectrum of Robin Laplacians in Conical Domains JO - Mathematical modelling of natural phenomena PY - 2016 SP - 100 EP - 110 VL - 11 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/201611208/ DO - 10.1051/mmnp/201611208 LA - en ID - 10_1051_mmnp_201611208 ER -
%0 Journal Article %A K. Pankrashkin %T On the Discrete Spectrum of Robin Laplacians in Conical Domains %J Mathematical modelling of natural phenomena %D 2016 %P 100-110 %V 11 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/201611208/ %R 10.1051/mmnp/201611208 %G en %F 10_1051_mmnp_201611208
[1] , , J. Phys. A: Math. Theor 2014
[2] V. Bonnaillie-Noël, H. Kovařík, K. Pankrashkin (Eds): Mini-workshop: Eigenvalue problems in surface superconductivity. Oberwolfach Rep. (to appear).
[3] P. Bryan, J. Louie: Classification of convex ancient solutions to curve shortening flow on the sphere. J. Geom. Anal. (to appear). Preprint arXiv:1408.5523.
[4] D. Daners, J. B Kennedy: On the asymptotic behaviour of the eigenvalues of a Robin problem. Differ. Integr. Eq., 237/8 (2010), 659–669.
[5] , , Commun. Pure Appl. Anal. 2015 1239 1258
[6] G. Del Grosso, M. Campanino: A construction of the stochastic process associated to heat diffusion in a polygonal domain. Bolletino Unione Mat. Ital., 13-B (1976) 876–895.
[7] , J. Math. Phys. 2014 122101
[8] , , Portugal. Math. 2014 141 156
[9] , J. Phys. A: Math. Theor. 2010
[10] , Z. Angew. Math. Phys. 2007 224 245
[11] , J. London Math. Soc. 2015 225 248
[12] B. Helffer, A. Kachmar: Eigenvalues for the Robin Laplacian in domains with variable curvature. Tran. Amer. Math. Soc. (to appear), preprint arXiv:1411.2700 (2014).
[13] P. D. Hislop, I. M. Sigal: Introduction to spectral theory. Springer, 1995.
[14] , , SIAM J. Appl. Math. 1998 1622 1647
[15] , Math. Nachr. 2008 272 281
[16] , Pacific J. Math. 2004 323 334
[17] Nanosystems: Phys. Chem. Math. 2013 474 483
[18] Nanosystems: Phys. Chem. Math. 2015 46 56
[19] K. Pankrashkin, N. Popoff: Mean curvature bounds and eigenvalues of Robin Laplacians. Calc. Var. PDE. (to appear), preprint arXiv:1407.3087 (2014).
[20] K. Pankrashkin, N. Popoff: An effective Hamiltonian for the eigenvalue asymptotics of a Robin Laplacian with a large parameter. Preprint arXiv:1502.00877 (2015).
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