Geodesic
Absolute continuity of an even periodic Schr\"odinger operator with nonsmooth coefficients
Algebra i analiz, Tome 16 (2004) no. 3, pp. 201-210.

Voir la notice de l'article provenant de la source Math-Net.Ru

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M. Tikhomirov; N. Filonov. Absolute continuity of an even periodic Schr\"odinger operator with nonsmooth coefficients. Algebra i analiz, Tome 16 (2004) no. 3, pp. 201-210. http://geodesic.mathdoc.fr/item/AA_2004_16_3_a6/

[1] Birman M. Sh., Solomyak M. Z., “Operator Shredingera. Otsenki chisla svyazannykh sostoyanii kak zadacha teorii funktsii”, Materialy k lektsiyam XIV shkoly po teorii operatorov v funktsionalnykh prostranstvakh, Ch. I, Novgorod, gos. ped. in-t, Novgorod, 1990, 99 | MR

[2] Birman M. Sh., Suslina T. A., “Absolyutnaya nepreryvnost dvumernogo periodicheskogo magnitnogo gamiltoniana s razryvnym vektornym potentsialom”, Algebra i analiz, 10:4 (1998), 1–36 | MR | Zbl

[3] Birman M. Sh., Suslina T. A., “Periodicheskii magnitnyi gamiltonian s peremennoi metrikoi. Problema absolyutnoi nepreryvnosti”, Algebra i analiz, 11:2 (1999), 1–40 | MR | Zbl

[4] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1989 | MR

[5] Koch H., Tataru D., “Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients”, Comm. Pure Appl. Math., 54 (2001), 339–360 | 3.0.CO;2-D class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl

[6] Morame A., “Absence of singular spectrum for a perturbation of a two-dimensional Laplace–Beltrami operator with periodic electro-magnetic potential”, J. Phys. A, 31 (1998), 7593–7601 | DOI | MR | Zbl

[7] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki. T. 4. Analiz operatorov, Mir, M., 1982 | MR

[8] Sobolev A., “Absolute continuity of the periodic magnetic Schrödinger operator”, Invent. Math., 137 (1999), 85–112 | DOI | MR | Zbl

[9] Suslina T. A., Shterenberg R. G., “Absolyutnaya nepreryvnost spektra operatora Shredingera s potentsialom, sosredotochennym na periodicheskoi sisteme giperpoverkhnostei”, Algebra i analiz, 13:5 (2001), 197–240 | MR | Zbl

[10] Thomas L., “Time dependent approach to scattering from impurities in a crystal”, Comm. Math. Phys., 33 (1973), 335–343 | DOI | MR

[11] Filonov H., “Ellipticheskoe uravnenie vtorogo poryadka v divergentnoi forme, imeyuschee reshenie s kompaktnym nositelem”, Probl. mat. anal., 22, SPbGU, SPb., 2001, 246–257

[12] Friedlander L., “On the spectrum of a class of second order periodic elliptic differential operators”, Comm. Math. Phys., 229:1 (2002), 49–55 | DOI | MR | Zbl

[13] Shterenberg P., “Absolyutnaya nepreryvnost spektra dvumernogo magnitnogo periodicheskogo operatora Shredingera s polozhitelnym elektricheskim potentsialom”, Tr. S.-Peterburg. mat. ob-va, 9, 2001, 199–233 | Zbl

[14] Schulz F., “On the unique continuation property of elliptic divergence form equations in the plane”, Math. Z., 228 (1998), 201–206 | DOI | MR | Zbl