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Ivrii, Victor Yakovlevich
Statistics Math-Net.Ru
Total publications: 70
Scientific articles: 67
Presentations: 1

Number of views:
This page:1585
Abstract pages:11900
Full texts:5300
References:883
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https://www.mathnet.ru/eng/person22111
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https://mathscinet.ams.org/mathscinet/MRAuthorID/92200

Publications in Math-Net.Ru Citations
2022
1. V. Ya. Ivrii, “Pointwise Spectral Asymptotics out of the Diagonal near Degeneration Points”, Mat. Zametki, 112:4 (2022),  534–552  mathnet; Math. Notes, 112:4 (2022), 533–548  scopus
2018
2. V. Ivrii, “Asymptotics of the ground state energy in the relativistic settings”, Algebra i Analiz, 30:3 (2018),  76–92  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:3 (2019), 445–456  isi  scopus
2007
3. V. Ya. Ivrii, “Magnetic Schrödinger operator: geometry, classical and quantum dynamics and spectral asymptotics”, Mosc. Math. J., 7:3 (2007),  461–479  mathnet  mathscinet  zmath  isi 1
1990
4. V. Ya. Ivrii, “Asymptotic behavior of eigenvalues for the two-dimensional Dirac operator with a strong magnetic field”, Dokl. Akad. Nauk SSSR, 311:5 (1990),  1102–1105  mathnet  mathscinet  zmath; Dokl. Math., 35:4 (1990), 340–341
5. V. Ya. Ivrii, “Exact spectral asymptotics for the Dirac operator with a strong magnetic field”, Dokl. Akad. Nauk SSSR, 310:4 (1990),  788–792  mathnet  mathscinet  zmath; Dokl. Math., 41:1 (1990), 122–125
1989
6. V. Ya. Ivrii, “Sharp spectral asymptotics for the two-dimensional Schrödinger operator with a strong magnetic field”, Dokl. Akad. Nauk SSSR, 306:1 (1989),  31–34  mathnet  mathscinet  zmath
1988
7. V. Ya. Ivrii, “Linear hyperbolic equations”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 33 (1988),  157–247  mathnet  mathscinet  zmath 2
1987
8. V. Ya. Ivrii, “Estimates for the spectrum of the Dirac operator”, Dokl. Akad. Nauk SSSR, 297:6 (1987),  1298–1302  mathnet  mathscinet  zmath; Dokl. Math., 36:3 (1988), 599–602
9. V. Ya. Ivrii, “Estimates for the number of negative eigenvalues of the Schrödinger operator with a strong magnetic field”, Dokl. Akad. Nauk SSSR, 297:5 (1987),  1043–1046  mathnet  mathscinet  zmath
10. V. Ya. Ivrii, “Exact spectral asymptotics for elliptic operators on manifolds with a boundary”, Sibirsk. Mat. Zh., 28:1 (1987),  107–114  mathnet  mathscinet  zmath; Siberian Math. J., 28:1 (1987), 80–86  isi 3
1986
11. V. Ya. Ivrii, “Weyl's asymptotic formula for the Laplace–Beltrami operator in Riemannian polyhedra and in domains with conic singularities of the boundary”, Dokl. Akad. Nauk SSSR, 288:1 (1986),  35–38  mathnet  mathscinet  zmath 1
12. V. Ya. Ivrii, “Propagation of singularities of solutions of dissipative boundary value problems for symmetric hyperbolic systems”, Dokl. Akad. Nauk SSSR, 287:6 (1986),  1299–1301  mathnet  mathscinet  zmath
13. V. Ya. Ivrii, S. I. Fedorova, “Dilatation and the asymptotics of the eigenvalues of spectral problems with singularities”, Funktsional. Anal. i Prilozhen., 20:4 (1986),  29–34  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:4 (1986), 277–281  isi 3
1985
14. V. Ya. Ivrii, “Asymptotics of the discrete spectrum for certain operators in $\mathbb{R}^d$”, Funktsional. Anal. i Prilozhen., 19:1 (1985),  73–74  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:1 (1985), 61–62  isi 2
15. O. V. Zaitseva, V. Ya. Ivrii, “On strict and non-strict inequalities in conditions for the Cauchy problem to be well-posed”, Uspekhi Mat. Nauk, 40:2(242) (1985),  179–180  mathnet  mathscinet  zmath; Russian Math. Surveys, 40:2 (1985), 245–246  isi
1984
16. V. Ya. Ivrii, “Exact classical and quasiclassical asymptotic behavior of eigenvalues for spectral problems on manifolds with boundary”, Dokl. Akad. Nauk SSSR, 277:6 (1984),  1307–1310  mathnet  mathscinet  zmath
17. V. Ya. Ivrii, “On the asymptotics of the discrete spectrum of the Schrödinger operator for a system of $n$ particles”, Dokl. Akad. Nauk SSSR, 277:4 (1984),  785–788  mathnet  mathscinet  zmath
18. V. Ya. Ivrii, “On precise asymptotics of the eigenvalues for two classes of differential operators in $\mathbf{R}^d$”, Dokl. Akad. Nauk SSSR, 276:2 (1984),  268–270  mathnet  mathscinet  zmath
1983
19. V. Ya. Ivrii, “Asymptotics of a spectral problem connected with the Laplace–Beltrami operator on a manifold with boundary”, Funktsional. Anal. i Prilozhen., 17:1 (1983),  71–72  mathnet  mathscinet  zmath; Funct. Anal. Appl., 17:1 (1983), 56–57  isi 4
1982
20. V. Ya. Ivrii, “On quasiclassical spectral asymptotics for the Schrödinger operator on manifolds with boundary and for $h$-pseudodifferential operators acting in bundles”, Dokl. Akad. Nauk SSSR, 266:1 (1982),  14–18  mathnet  mathscinet  zmath 1
21. V. Ya. Ivrii, “On the asymptotics of the eigenvalues for a class of elliptic operators acting in bundles over a manifold with boundary”, Dokl. Akad. Nauk SSSR, 263:3 (1982),  530–531  mathnet  mathscinet  zmath 2
22. V. Ya. Ivrii, M. A. Shubin, “On the asymptotics of the spectral shift function”, Dokl. Akad. Nauk SSSR, 263:2 (1982),  283–284  mathnet  mathscinet  zmath 3
23. V. Ya. Ivrii, “Accurate spectral asymptotics for elliptic operators that act in vector bundles”, Funktsional. Anal. i Prilozhen., 16:2 (1982),  30–38  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:2 (1982), 101–108  isi 16
24. O. V. Zaitseva, V. Ya. Ivrii, “On the well-posedness of the Cauchy problem for certain hyperbolic operators with characteristics of high variable multiplicity”, Uspekhi Mat. Nauk, 37:3(225) (1982),  187–188  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:3 (1982), 225–226 2
1981
25. V. Ya. Ivrii, “Asymptotics of the eigenvalues for some elliptic operators acting in bundles over a manifold with a boundary”, Dokl. Akad. Nauk SSSR, 258:5 (1981),  1045–1046  mathnet  mathscinet  zmath 3
26. V. Ya. Ivrii, “Exact spectral asymptotics for the Laplace–Beltrami operator in the case of general elliptic boundary conditions”, Funktsional. Anal. i Prilozhen., 15:1 (1981),  74–75  mathnet  mathscinet  zmath; Funct. Anal. Appl., 15:1 (1981), 59–60  isi 4
27. V. Ya. Ivriĭ, “Propagation of singularities of solutions of nonclassical boundary value problems for second-order hyperbolic equations”, Tr. Mosk. Mat. Obs., 43 (1981),  81–91  mathnet  mathscinet  zmath
1980
28. V. Ya. Ivrii, “On the second term of the spectral asymptotics for the Laplace–Beltrami operator on manifolds with boundary and for elliptic operators acting in fiberings”, Dokl. Akad. Nauk SSSR, 250:6 (1980),  1300–1302  mathnet  mathscinet  zmath 5
29. V. Ya. Ivrii, “Second term of the spectral asymptotic expansion of the Laplace–Beltrami operator on manifolds with boundary”, Funktsional. Anal. i Prilozhen., 14:2 (1980),  25–34  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:2 (1980), 98–106 133
30. V. Ya. Ivrii, “Wave fronts of solutions of boundary value problems for a class of symmetric hyperbolic systems”, Sibirsk. Mat. Zh., 21:4 (1980),  62–71  mathnet  mathscinet  zmath; Siberian Math. J., 21:4 (1980), 527–534  isi 7
31. V. Ya. Ivrii, “Wave fronts of solutions of boundary value problems for symmetric hyperbolic systems. III. Systems with characteristics of variable multiplicity”, Sibirsk. Mat. Zh., 21:1 (1980),  74–81  mathnet  mathscinet  zmath; Siberian Math. J., 21:1 (1980), 54–60  isi 1
1979
32. V. Ya. Ivrii, “Propagation of singularities of solutions of nonclassical boundary-value problems for the wave equation”, Funktsional. Anal. i Prilozhen., 13:3 (1979),  85–86  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:3 (1979), 226–227 2
33. V. Ya. Ivriĭ, “Wave fronts of solutions of certain hyperbolic pseudodifferential equations”, Tr. Mosk. Mat. Obs., 39 (1979),  83–112  mathnet  mathscinet  zmath 2
34. V. Ya. Ivriĭ, “Wave fronts of solutions of certain pseudodifferential equations”, Tr. Mosk. Mat. Obs., 39 (1979),  49–82  mathnet  mathscinet  zmath
35. V. Ya. Ivrii, “Wave fronts of solutions of boundary value problems for symmetric hyperbolic systems. II. Systems with characteristics of constant multiplicity”, Sibirsk. Mat. Zh., 20:5 (1979),  1022–1038  mathnet  mathscinet  zmath; Siberian Math. J., 20:5 (1979), 722–734  isi 3
36. V. Ya. Ivrii, “Wave fronts of solutions of boundary value problems for symmetric hyperbolic systems. I. The fundamental theorem”, Sibirsk. Mat. Zh., 20:4 (1979),  741–751  mathnet  mathscinet  zmath; Siberian Math. J., 20:4 (1979), 516–524  isi 3
37. V. Ya. Ivrii, “Wave fronts of solutions of symmetric pseudodifferential systems”, Sibirsk. Mat. Zh., 20:3 (1979),  557–578  mathnet  mathscinet  zmath; Siberian Math. J., 20:3 (1979), 390–405  isi 5
1978
38. V. Ya. Ivrii, “The nonclassical propagation of singularities of a solution of the wave equation near a boundary”, Dokl. Akad. Nauk SSSR, 241:5 (1978),  1013–1015  mathnet  mathscinet  zmath 1
39. V. Ya. Ivrii, “Propagation of singularities of a solution of the wave equation in a domain having angular points”, Dokl. Akad. Nauk SSSR, 241:3 (1978),  536–539  mathnet  mathscinet  zmath
40. V. Ya. Ivrii, “The propagation of singularities of a solution of the wave equation near a boundary”, Dokl. Akad. Nauk SSSR, 239:4 (1978),  772–774  mathnet  mathscinet  zmath 2
41. V. Ya. Ivrii, “Correctness in Gevrey classes of the Cauchy problem for certain nonstrictly hyperbolic operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 2,  26–35  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:2 (1978), 22–29
1977
42. V. Ya. Ivrii, “Wave fronts of solutions of boundary value problems for symmetric hyperbolic systems”, Dokl. Akad. Nauk SSSR, 235:5 (1977),  1013–1016  mathnet  mathscinet  zmath 1
43. V. Ya. Ivrii, “Wave fronts of solutions of symmetric pseudodifferential systems”, Dokl. Akad. Nauk SSSR, 233:6 (1977),  1035–1038  mathnet  mathscinet  zmath
44. V. Ya. Ivrii, “The wave fronts of the solutions of the system that describes crystal optics”, Dokl. Akad. Nauk SSSR, 232:4 (1977),  763–765  mathnet  mathscinet  zmath
45. V. Ya. Ivriĭ, “Correctness of the Cauchy problem for nonstrictly hyperbolic operators. III. The energy integral”, Tr. Mosk. Mat. Obs., 34 (1977),  151–170  mathnet  mathscinet 3
46. V. Ya. Ivrii, “Propagation of the singularities of solutions of the wave equation along the boundary of the domain”, Uspekhi Mat. Nauk, 32:5(197) (1977),  185–186  mathnet  mathscinet  zmath 1
1976
47. V. Ya. Ivrii, “Wave fronts of solutions of some hyperbolic pseudodifferential equations”, Dokl. Akad. Nauk SSSR, 229:2 (1976),  280–283  mathnet  mathscinet  zmath
48. V. Ya. Ivrii, “Wave fronts of solutions of some hyperbolic equations and conical refraction”, Dokl. Akad. Nauk SSSR, 226:6 (1976),  1257–1259  mathnet  mathscinet  zmath
49. V. Ya. Ivrii, “Wave fronts of solutions of some microlocally hyperbolic pseudodifferential equations”, Dokl. Akad. Nauk SSSR, 226:5 (1976),  1009–1011  mathnet  mathscinet  zmath
50. V. Ya. Ivrii, “Algebraic curves and commuting matricial differential operators”, Funktsional. Anal. i Prilozhen., 10:2 (1976),  71–72  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:2 (1976), 141–142 10
51. V. Ya. Ivrii, “Conditions for correctness in Gevrey classes of the Cauchy problem for hyperbolic operators with characteristics of variable multiplicity”, Sibirsk. Mat. Zh., 17:6 (1976),  1256–1270  mathnet  mathscinet  zmath; Siberian Math. J., 17:6 (1976), 921–931  isi 14
52. V. Ya. Ivrii, “Conditions for correctness in Gevrey classes of the Cauchy problem for not strictly hyperbolic operators”, Sibirsk. Mat. Zh., 17:3 (1976),  547–563  mathnet  mathscinet  zmath; Siberian Math. J., 17:3 (1976), 422–435  isi 24
1975
53. V. Ya. Ivrii, “Well-posedness in projective Gevrey classes of the Cauchy problem for nonstrictly hyperbolic operators”, Dokl. Akad. Nauk SSSR, 222:1 (1975),  26–28  mathnet  mathscinet  zmath
54. V. Ya. Ivrii, “Conditions that the Cauchy problem for hyperbolic operators with characteristics of variable multiplicity be well posed in Gevrey classes”, Dokl. Akad. Nauk SSSR, 221:6 (1975),  1253–1255  mathnet  mathscinet  zmath
55. V. Ya. Ivrii, “Conditions for the correctness in Gevrey classes of the Cauchy problem for nonstrictly hyperbolic operators”, Dokl. Akad. Nauk SSSR, 221:4 (1975),  775–777  mathnet  mathscinet  zmath
56. V. Ya. Ivriĭ, “Sufficient conditions for regular and completely regular hyperbolicity”, Tr. Mosk. Mat. Obs., 33 (1975),  3–65  mathnet  mathscinet  zmath 1
57. V. Ya. Ivrii, “The energy integral for nonstrictly hyperbolic operators”, Uspekhi Mat. Nauk, 30:6(186) (1975),  169–170  mathnet  mathscinet  zmath
58. V. Ya. Ivrii, “Correctness in Gevrey classes of the Cauchy problem for not strictly hyperbolic operators”, Uspekhi Mat. Nauk, 30:5(185) (1975),  209–210  mathnet  mathscinet  zmath 1
59. V. Ya. Ivrii, “Correctness of the Cauchy problem in Gevrey classes for nonstrictly hyperbolic operators”, Mat. Sb. (N.S.), 96(138):3 (1975),  390–413  mathnet  mathscinet  zmath; Math. USSR-Sb., 25:3 (1975), 365–387 25
1974
60. V. Ya. Ivrii, V. M. Petkov, “Necessary conditions for the Cauchy problem for non-strictly hyperbolic equations to be well-posed”, Uspekhi Mat. Nauk, 29:5(179) (1974),  3–70  mathnet  mathscinet  zmath; Russian Math. Surveys, 29:5 (1974), 1–70 85
1973
61. V. Ya. Ivrii, “A certain class of nonstrictly hyperbolic operators”, Differ. Uravn., 9:2 (1973),  299–306  mathnet  mathscinet  zmath 1
1972
62. V. Ya. Ivrii, “Cauchy problem for nonstrictly hyperbolic equations”, Dokl. Akad. Nauk SSSR, 207:5 (1972),  1032–1034  mathnet  mathscinet  zmath 1
63. V. Ya. Ivrii, “The Cauchy problem for nonstrictly hyperbolic equations with smooth roots”, Dokl. Akad. Nauk SSSR, 204:6 (1972),  1303–1304  mathnet  mathscinet  zmath 1
1971
64. V. Ya. Ivrii, “The Cauchy problem for nonstrictly hyperbolic equations of second order”, Dokl. Akad. Nauk SSSR, 201:4 (1971),  778–781  mathnet  mathscinet  zmath
65. V. Ya. Ivrii, “Differential equations, with multiple characteristics, that have no solutions”, Dokl. Akad. Nauk SSSR, 198:2 (1971),  279–282  mathnet  mathscinet  zmath 1
66. V. Ya. Ivrii, “The Cauchy problem for nonstrictly hyperbolic equations”, Dokl. Akad. Nauk SSSR, 197:3 (1971),  517–519  mathnet  mathscinet  zmath 1
1969
67. V. Ya. Ivrii, “Exponential decay of the solution of the wave equation outside an almost star-shaped region”, Dokl. Akad. Nauk SSSR, 189:5 (1969),  938–940  mathnet  mathscinet  zmath 4
2020
68. M. Braverman, V. M. Buchstaber, M. Gromov, V. Ivrii, Yu. A. Kordyukov, P. Kuchment, V. Maz'ya, S. P. Novikov, T. Sunada, L. Friedlander, A. G. Khovanskii, “Mikhail Aleksandrovich Shubin (obituary)”, Uspekhi Mat. Nauk, 75:6(456) (2020),  162–170  mathnet  mathscinet  zmath; Russian Math. Surveys, 75:6 (2020), 1143–1152  isi
1984
69. V. Ya. Ivrii, A. B. Givental', V. I. Arnol'd, V. A. Kondrat'ev, O. A. Oleinik, V. M. Millionshchikov, N. Kh. Rozov, A. F. Filippov, A. A. Il'yushin, V. G. Vil'ke, A. M. Dykhne, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 39:5(239) (1984),  253–260  mathnet 4
1982
70. V. Ya. Ivrii, M. A. Shubin, “Поправки к статье “Об асимптотике функции спектрального сдвига” (ДАН, т. 263, № 2, 1982 г.)”, Dokl. Akad. Nauk SSSR, 265:5 (1982),  1032  mathnet

Presentations in Math-Net.Ru
1. 100 years of Weyl's law
V. Ya. Ivrii
Globus Seminar
August 4, 2016 15:40   

Organisations
 
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