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Grushin, Viktor Vasil'evich
Statistics Math-Net.Ru
Total publications: 49
Scientific articles: 47

Number of views:
This page:1443
Abstract pages:21194
Full texts:8189
References:1938
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https://www.mathnet.ru/eng/person18249
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/455136

Publications in Math-Net.Ru Citations
2017
1. V. V. Grushin, “Generalized Method of Stationary Phase for the Fourier Transform of a Rapidly Oscillating Function”, Mat. Zametki, 102:6 (2017),  816–827  mathnet  elib; Math. Notes, 102:6 (2017), 746–755  isi  scopus 3
2014
2. V. V. Grushin, S. Yu. Dobrokhotov, “Homogenization in the Problem of Long Water Waves over a Bottom Site with Fast Oscillations”, Mat. Zametki, 95:3 (2014),  359–375  mathnet  mathscinet  elib; Math. Notes, 95:3 (2014), 324–337  isi  elib  scopus 6
2013
3. V. V. Grushin, S. Yu. Dobrokhotov, S. A. Sergeev, “Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source”, Trudy Mat. Inst. Steklova, 281 (2013),  170–187  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 281 (2013), 161–178  isi  elib 10
2012
4. J. Brüning, V. V. Grushin, S. Yu. Dobrokhotov, “Averaging of Linear Operators, Adiabatic Approximation, and Pseudodifferential Operators”, Mat. Zametki, 92:2 (2012),  163–180  mathnet  mathscinet  zmath  elib; Math. Notes, 92:2 (2012), 151–165  isi  elib  scopus 14
2011
5. J. Brüning, V. V. Grushin, S. Yu. Dobrokhotov, T. Ya. Tudorovskii, “Generalized Foldy–Wouthuysen transformation and pseudodifferential operators”, TMF, 167:2 (2011),  171–192  mathnet  mathscinet; Theoret. and Math. Phys., 167:2 (2011), 547–566  isi  scopus 8
2010
6. V. V. Grushin, S. Yu. Dobrokhotov, “Peierls Substitution and the Maslov Operator Method”, Mat. Zametki, 87:4 (2010),  554–571  mathnet  mathscinet  zmath; Math. Notes, 87:4 (2010), 521–536  isi  scopus 5
2009
7. V. V. Grushin, “Multiparameter Perturbation Theory of Fredholm Operators Applied to Bloch Functions”, Mat. Zametki, 86:6 (2009),  819–828  mathnet  mathscinet  zmath  elib; Math. Notes, 86:6 (2009), 767–774  isi  scopus 20
8. V. V. Grushin, “Asymptotic Behavior of Eigenvalues of the Laplace Operator in Thin Infinite Tubes”, Mat. Zametki, 85:5 (2009),  687–701  mathnet  mathscinet  zmath  elib; Math. Notes, 85:5 (2009), 661–673  isi  scopus 10
2008
9. V. V. Grushin, “Asymptotic Behavior of the Eigenvalues of the Schrödinger Operator in Thin Closed Tubes”, Mat. Zametki, 83:4 (2008),  503–519  mathnet  mathscinet  zmath  elib; Math. Notes, 83:4 (2008), 463–477  isi  elib  scopus 9
2007
10. V. V. Grushin, “Asymptotic Behavior of Eigenvalues of the Laplace Operator in Infinite Cylinders Perturbed by Transverse Extensions”, Mat. Zametki, 81:3 (2007),  328–334  mathnet  mathscinet  zmath  elib; Math. Notes, 81:3 (2007), 291–296  isi  scopus 2
2005
11. V. V. Grushin, “Asymptotic Behavior of the Eigenvalues of the Schrödinger Operator with Transversal Potential in a Weakly Curved Infinite Cylinder”, Mat. Zametki, 77:5 (2005),  656–664  mathnet  mathscinet  zmath  elib; Math. Notes, 77:5 (2005), 606–613  isi  scopus 13
2004
12. V. V. Grushin, “On the Eigenvalues of Finitely Perturbed Laplace Operators in Infinite Cylindrical Domains”, Mat. Zametki, 75:3 (2004),  360–371  mathnet  mathscinet  zmath  elib; Math. Notes, 75:3 (2004), 331–340  isi 35
1977
13. V. V. Grushin, “Construction of a parametrix for degenerate elliptic operators by the method of double-scale asymptotic expansions”, Funktsional. Anal. i Prilozhen., 11:2 (1977),  76–77  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:2 (1977), 143–144 2
14. V. V. Grushin, N. A. Shananin, “Some theorems on the singularities of solutions of differential equations with weighted principal symbols”, Mat. Sb. (N.S.), 103(145):1(5) (1977),  37–51  mathnet  mathscinet  zmath; Math. USSR-Sb., 32:1 (1977), 32–44  isi 11
1972
15. V. V. Grushin, “Hypoelliptic differential equations and pseudodifferential operators with operator-valued symbols”, Mat. Sb. (N.S.), 88(130):4(8) (1972),  504–521  mathnet  mathscinet  zmath; Math. USSR-Sb., 17:4 (1972), 497–514 16
1971
16. V. V. Grushin, “On the proof of the discreteness of the spectrum of one class of differential operators in $\mathbb{R}^n$”, Funktsional. Anal. i Prilozhen., 5:1 (1971),  71–72  mathnet  mathscinet  zmath; Funct. Anal. Appl., 5:1 (1971), 58–59 7
17. V. V. Grushin, “A differential equation without a solution”, Mat. Zametki, 10:2 (1971),  125–128  mathnet  mathscinet  zmath; Math. Notes, 10:2 (1971), 499–501 8
18. V. V. Grushin, “Singularities of solutions of a certain class of pseudodifferential and degenerating elliptic equations”, Uspekhi Mat. Nauk, 26:1(157) (1971),  221–222  mathnet  mathscinet  zmath 2
19. V. V. Grushin, “On a class of elliptic pseudodifferential operators degenerate on a submanifold”, Mat. Sb. (N.S.), 84(126):2 (1971),  163–195  mathnet  mathscinet  zmath; Math. USSR-Sb., 13:2 (1971), 155–185 86
1970
20. M. I. Vishik, V. V. Grushin, “Elliptic boundary value problems that are degenerate on a submanifold of the boundary”, Dokl. Akad. Nauk SSSR, 190:2 (1970),  255–258  mathnet  mathscinet  zmath 5
21. V. V. Grushin, “Pseudodifferential operators on $\mathbf R^n$ with bounded symbols”, Funktsional. Anal. i Prilozhen., 4:3 (1970),  37–50  mathnet  mathscinet  zmath; Funct. Anal. Appl., 4:3 (1970), 202–212 43
22. M. I. Vishik, V. V. Grushin, “Degenerating elliptic differential and psevdo-differential operators”, Uspekhi Mat. Nauk, 25:4(154) (1970),  29–56  mathnet  mathscinet  zmath; Russian Math. Surveys, 25:4 (1970), 21–50 13
23. V. V. Grushin, “On a class of hypoelliptic operators”, Mat. Sb. (N.S.), 83(125):3(11) (1970),  456–473  mathnet  mathscinet  zmath; Math. USSR-Sb., 12:3 (1970), 458–476 100
1969
24. M. I. Vishik, V. V. Grushin, “Elliptic pseudodifferential operators on a closed manifold which are degenerate on a submanifold”, Dokl. Akad. Nauk SSSR, 189:1 (1969),  16–19  mathnet  mathscinet  zmath 7
25. M. I. Vishik, V. V. Grushin, “Boundary value problems for elliptic equations degenerate on the boundary of a domain”, Mat. Sb. (N.S.), 80(122):4(12) (1969),  455–491  mathnet  mathscinet  zmath; Math. USSR-Sb., 9:4 (1969), 423–454 31
26. M. I. Vishik, V. V. Grushin, “On a class of higher order degenerate elliptic equations”, Mat. Sb. (N.S.), 79(121):1(5) (1969),  3–36  mathnet  mathscinet  zmath; Math. USSR-Sb., 8:1 (1969), 1–32 33
1967
27. B. R. Vainberg, V. V. Grushin, “Uniformly non-coercive problems for elliptic equations”, Dokl. Akad. Nauk SSSR, 172:4 (1967),  759–762  mathnet  mathscinet  zmath
28. B. R. Vainberg, V. V. Grushin, “Uniformly non-elliptic systems of singular integro-differential equations on compact manifolds”, Dokl. Akad. Nauk SSSR, 172:3 (1967),  518–520  mathnet  mathscinet  zmath
29. B. R. Vainberg, V. V. Grushin, “Uniformly nonelliptic problems. II”, Mat. Sb. (N.S.), 73(115):1 (1967),  126–154  mathnet  mathscinet  zmath; Math. USSR-Sb., 2:1 (1967), 111–133 19
30. B. R. Vainberg, V. V. Grushin, “Uniformly nonelliptic problems. I”, Mat. Sb. (N.S.), 72(114):4 (1967),  602–636  mathnet  mathscinet  zmath; Math. USSR-Sb., 1:4 (1967), 543–568 14
1966
31. V. V. Grušin, “Solutions with isolated singularities for partial differential equations with constant coefficients”, Tr. Mosk. Mat. Obs., 15 (1966),  262–278  mathnet  mathscinet  zmath
1965
32. E. A. Gorin, V. V. Grushin, “On certain local theorems for partial differential equations with constant coefficients”, Tr. Mosk. Mat. Obs., 14 (1965),  200–210  mathnet  mathscinet  zmath 1
33. V. V. Grushin, “On the existence of non-invariant insoluble subgroups of a finite soluble group”, Mat. Sb. (N.S.), 66(108):4 (1965),  525–550  mathnet  mathscinet  zmath 2
1964
34. V. V. Grushin, “Behaviour of solutions of differential equations near the boundary”, Dokl. Akad. Nauk SSSR, 158:2 (1964),  264–267  mathnet  mathscinet  zmath
1963
35. V. V. Grushin, “Extension of smoothness to solutions of differential equations of smooth type”, Dokl. Akad. Nauk SSSR, 148:6 (1963),  1241–1244  mathnet  mathscinet  zmath 4
36. V. V. Grushin, “On Sommerfeld-type conditions for a certain class of partial differential equations”, Mat. Sb. (N.S.), 61(103):2 (1963),  147–174  mathnet  mathscinet  zmath 4
1962
37. V. V. Grushin, “A problem in the entire space for a certain class of partial differential equations”, Dokl. Akad. Nauk SSSR, 146:6 (1962),  1251–1254  mathnet  mathscinet  zmath 1
38. V. V. Grushin, “Some theorems on removable singularities”, Uspekhi Mat. Nauk, 17:4(106) (1962),  111–118  mathnet  mathscinet  zmath
39. V. V. Grushin, V. P. Palamodov, “On the maximal number of mutually disjoint, pairwise homeomorphic figures which can be packed in 3-space”, Uspekhi Mat. Nauk, 17:3(105) (1962),  163–168  mathnet  mathscinet  zmath 1
40. V. V. Grushin, “On $Q$-hypo-elliptic equations”, Mat. Sb. (N.S.), 57(99):2 (1962),  233–240  mathnet  mathscinet  zmath
1961
41. V. V. Grushin, “Solutions of partial differential equations with constant coefficients”, Dokl. Akad. Nauk SSSR, 139:1 (1961),  17–19  mathnet  mathscinet  zmath
42. V. V. Grushin, “A property of the solution of a hypoelliptic equation”, Dokl. Akad. Nauk SSSR, 137:4 (1961),  768–771  mathnet  mathscinet  zmath 1
43. E. A. Gorin, V. V. Grushin, “On the definition of hypo-elliptic equations”, Uspekhi Mat. Nauk, 16:5(101) (1961),  163–166  mathnet  mathscinet  zmath 1
44. V. V. Grushin, “Fundamental solutions of hypoelliptic equations”, Uspekhi Mat. Nauk, 16:4(100) (1961),  147–153  mathnet  mathscinet  zmath 4
45. V. V. Grushin, “Isolated singularities of solutions of difference equations”, Uspekhi Mat. Nauk, 16:2(98) (1961),  165–166  mathnet
46. V. V. Grushin, “Canonical regularization of some classes of functions”, Mat. Sb. (N.S.), 54(96):4 (1961),  397–410  mathnet  mathscinet  zmath
1959
47. V. V. Grushin, “On a sufficient condition for compactness of a family of continuous functions”, Uspekhi Mat. Nauk, 14:4(88) (1959),  165–168  mathnet  mathscinet  zmath
2015
48. V. V. Grushin, S. Yu. Dobrokhotov, S. A. Sergeev, “Correction to the paper “Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source” (Proc. Steklov Inst. Math. 281, 161–178 (2013))”, Trudy Mat. Inst. Steklova, 288 (2015),  287  mathnet  elib; Proc. Steklov Inst. Math., 288 (2015), 265  isi  scopus 1
1976
49. P. S. Aleksandrov, I. M. Gel'fand, E. A. Gorin, V. V. Grushin, A. N. Kolmogorov, O. A. Oleinik, V. P. Palamodov, S. V. Fomin, “Georgii Evgen'evich Shilov (obituary)”, Uspekhi Mat. Nauk, 31:1(187) (1976),  217–228  mathnet  mathscinet  zmath; Russian Math. Surveys, 31:1 (1976), 233–249 2

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