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[2] W. Arendt and R. Mazzeo, Friedlander’s eigenvalue inequalities and the Dirichlet–to–Neumann semigroup. Commun. Pure Appl. Anal. 11 (2012), no. 6, 2201–2212. MR 2912743 Zbl 1267.35139 |
Sách, tạp chí |
Tiêu đề: |
Commun. Pure Appl. Anal |
Tác giả: |
W. Arendt and R. Mazzeo, Friedlander’s eigenvalue inequalities and the Dirichlet–to–Neumann semigroup. Commun. Pure Appl. Anal. 11 |
Năm: |
2012 |
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[3] W. Arendt and A. F. M. ter Elst, The Dirichlet–to–Neumann operator on rough domains. J. Differential Equations 251 (2011), no. 8, 2100–2124. MR 2823661 Zbl 1241.47036 |
Sách, tạp chí |
Tiêu đề: |
J. Differential Equations |
Tác giả: |
W. Arendt and A. F. M. ter Elst, The Dirichlet–to–Neumann operator on rough domains. J. Differential Equations 251 |
Năm: |
2011 |
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[4] W. Arendt and A. F. M. ter Elst, The Dirichlet–to–Neumann operator on exte- rior domains. Potential Anal. 43 (2015), no. 2, 313–340.MR 3374114 Zbl 1331.46022 |
Sách, tạp chí |
Tiêu đề: |
Potential Anal |
Tác giả: |
W. Arendt and A. F. M. ter Elst, The Dirichlet–to–Neumann operator on exte- rior domains. Potential Anal. 43 |
Năm: |
2015 |
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[6] J. Behrndt, P. Exner, and V. Lotoreichik, Schrửdinger operators with ı- and ı 0 -interactions on Lipschitz surfaces and chromatic numbers of associated par- titions. Rev. Math. Phys. 26 (2014), no. 8, 1450015, 43 pp. MR 3256859 Zbl 1326.47050 |
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Tiêu đề: |
Rev. Math. Phys |
Tác giả: |
J. Behrndt, P. Exner, and V. Lotoreichik, Schrửdinger operators with ı- and ı 0 -interactions on Lipschitz surfaces and chromatic numbers of associated par- titions. Rev. Math. Phys. 26 |
Năm: |
2014 |
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[7] J. Behrndt, G. Grubb, M. Langer, and V. Lotoreichik, Spectral asymptotics for resolvent differences of elliptic operators with ı and ı 0 -interactions on hypersur- faces. J. Spectr. Theory 5 (2015), no. 4, 697–729. MR 3433285 Zbl 06534463 [8] J. Behrndt and M. Langer, Boundary value problems for elliptic partial differen- tial operators on bounded domains. J. Funct. Anal. 243 (2007), no. 2, 536–565.MR 2289696 Zbl 1132.47038 |
Sách, tạp chí |
Tiêu đề: |
J. Spectr. Theory"5(2015), no. 4, 697–729. MR 3433285 Zbl 06534463[8] J. Behrndt and M. Langer, Boundary value problems for elliptic partial differen-tial operators on bounded domains."J. Funct. Anal |
Tác giả: |
J. Behrndt, G. Grubb, M. Langer, and V. Lotoreichik, Spectral asymptotics for resolvent differences of elliptic operators with ı and ı 0 -interactions on hypersur- faces. J. Spectr. Theory 5 (2015), no. 4, 697–729. MR 3433285 Zbl 06534463 [8] J. Behrndt and M. Langer, Boundary value problems for elliptic partial differen- tial operators on bounded domains. J. Funct. Anal. 243 |
Năm: |
2007 |
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[9] J. Behrndt and M. Langer, Elliptic operators, Dirichlet–to–Neumann maps and quasi boundary triples. In S. Hassi, H. S. V. de Snoo and F. H. Szafraniec (eds.), Operator methods for boundary value problems. London Mathemati- cal Society Lecture Note Series, 404. Cambridge University Press, Cambridge, 2012, 121–160. MR 3050306 Zbl 1331.47067 |
Sách, tạp chí |
Tiêu đề: |
Operator methods for boundary value problems |
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[10] J. Behrndt, M. Langer, and V. Lotoreichik, Schrửdinger operators with ı and ı 0 -potentials supported on hypersurfaces. Ann. Henri Poincaré 14 (2013), no. 2, 385–423. MR 3028043 Zbl 1275.81027 |
Sách, tạp chí |
Tiêu đề: |
Ann. Henri Poincaré |
Tác giả: |
J. Behrndt, M. Langer, and V. Lotoreichik, Schrửdinger operators with ı and ı 0 -potentials supported on hypersurfaces. Ann. Henri Poincaré 14 |
Năm: |
2013 |
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[11] J. Behrndt, M. Langer, and V. Lotoreichik, Spectral estimates for resolvent dif- ferences of self-adjoint elliptic operators. Integral Equations Operator The- ory 77 (2013), no. 1, 1–37. MR 3090162 Zbl 1311.47059 |
Sách, tạp chí |
Tiêu đề: |
Integral Equations Operator The-ory |
Tác giả: |
J. Behrndt, M. Langer, and V. Lotoreichik, Spectral estimates for resolvent dif- ferences of self-adjoint elliptic operators. Integral Equations Operator The- ory 77 |
Năm: |
2013 |
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[14] J. F. Brasche, P. Exner, Y. A. Kuperin, and P. Šeba, Schrửdinger operators with singular interactions. J. Math. Anal. Appl. 184 (1994), no. 1, 112–139.MR 1275948 Zbl 0820.47005 |
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Tiêu đề: |
J. Math. Anal. Appl |
Tác giả: |
J. F. Brasche, P. Exner, Y. A. Kuperin, and P. Šeba, Schrửdinger operators with singular interactions. J. Math. Anal. Appl. 184 |
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1994 |
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Tiêu đề: |
Mat. Sb. (N.S.) |
Tác giả: |
V. M. Bruk, A certain class of boundary value problems with a spectral parame- ter in the boundary condition. Mat. Sb. (N.S.) 100(142) |
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1976 |
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[17] J. Brüning, V. Geyler, and K. Pankrashkin, Spectra of self-adjoint extensions and applications to solvable Schrửdinger operators. Rev. Math. Phys. 20 (2008), no. 1, 1–70. MR 2379246 Zbl 1163.81007 |
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Tiêu đề: |
Rev. Math. Phys |
Tác giả: |
J. Brüning, V. Geyler, and K. Pankrashkin, Spectra of self-adjoint extensions and applications to solvable Schrửdinger operators. Rev. Math. Phys. 20 |
Năm: |
2008 |
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[18] V. S. Buslaev and L. D. Faddeev, Formulas for traces for a singular Sturm- Liouville differential operator. Dokl. Akad. Nauk SSSR 132, 13–16. In Rus- sian. English translation, Soviet Math. Dokl. 1 (1960), 451–454. MR 0120417 Zbl 0129.06501 |
Sách, tạp chí |
Tiêu đề: |
Dokl. Akad. Nauk SSSR" 132, 13–16. In Rus-sian. English translation,"Soviet Math. Dokl |
Tác giả: |
V. S. Buslaev and L. D. Faddeev, Formulas for traces for a singular Sturm- Liouville differential operator. Dokl. Akad. Nauk SSSR 132, 13–16. In Rus- sian. English translation, Soviet Math. Dokl. 1 |
Năm: |
1960 |
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[19] G. Carron, Determinant relatif et la fonction Xi. Amer. J. Math. 124 (2002), no. 2, 307–352. MR 1890995 Zbl 1014.34015 |
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Tiêu đề: |
Amer. J. Math |
Tác giả: |
G. Carron, Determinant relatif et la fonction Xi. Amer. J. Math. 124 |
Năm: |
2002 |
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[21] V. A. Derkach and M. M. Malamud, Generalized resolvents and the boundary value problems for Hermitian operators with gaps. J. Funct. Anal. 95 (1991), no. 1, 1–95. MR 1087947 Zbl 0748.47004 |
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Tiêu đề: |
J. Funct. Anal |
Tác giả: |
V. A. Derkach and M. M. Malamud, Generalized resolvents and the boundary value problems for Hermitian operators with gaps. J. Funct. Anal. 95 |
Năm: |
1991 |
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[22] V. A. Derkach and M. M. Malamud, The extension theory of Hermitian op- erators and the moment problem. J. Math. Sci. 73 (1995), no. 2, 141–242.MR 1318517 Zbl 0848.47004 |
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Tiêu đề: |
J. Math. Sci |
Tác giả: |
V. A. Derkach and M. M. Malamud, The extension theory of Hermitian op- erators and the moment problem. J. Math. Sci. 73 |
Năm: |
1995 |
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[30] P. Exner and H. Kovaˇrík, Quantum waveguides. Theoretical and Mathematical Physics. Springer, Cham, 2015. ISBN 978-3-319-18575-0 MR 3362506 Zbl 1314.81001 |
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Tiêu đề: |
Quantum waveguides |
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[31] L. Friedlander, Absolute continuity of the spectra of periodic waveguides.In P. Kuchment (ed.), Waves in periodic and random media. Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held at Mount Holyoke College, South Hadley, MA, June 22–28, 2002. Contemporary Math- ematics, 339. American Mathematical Society, Providence, R.I., 2003, 37–42 |
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Tiêu đề: |
Waves in periodic and random media |
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[5] C. Bardos, J.-C. Guillot, and J. Ralston, La rélation de Poisson pour l’équation des ondes dans un ouvert non borne. Application à la théorie de la diffusion |
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[12] J. Behrndt, M. Langer, and V. Lotoreichik, Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators. J. Lond. Math |
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[20] S. Clark, F. Gesztesy, R. Nichols, and M. Zinchenko, Boundary data maps and Krein’s resolvent formula for Sturm–Liouville operators on a finite interval |
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