Grushin Viktor Vasil'evich

Publications in Math-Net.Ru

1. Generalized Method of Stationary Phase for the Fourier Transform of a Rapidly Oscillating Function
   
   Mat. Zametki, 102:6 (2017),  816–827
2. Homogenization in the Problem of Long Water Waves over a Bottom Site with Fast Oscillations
   
   Mat. Zametki, 95:3 (2014),  359–375
3. Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source
   
   Trudy Mat. Inst. Steklova, 281 (2013),  170–187
4. Averaging of Linear Operators, Adiabatic Approximation, and Pseudodifferential Operators
   
   Mat. Zametki, 92:2 (2012),  163–180
5. Generalized Foldy–Wouthuysen transformation and pseudodifferential operators
   
   TMF, 167:2 (2011),  171–192
6. Peierls Substitution and the Maslov Operator Method
   
   Mat. Zametki, 87:4 (2010),  554–571
7. Multiparameter Perturbation Theory of Fredholm Operators Applied to Bloch Functions
   
   Mat. Zametki, 86:6 (2009),  819–828
8. Asymptotic Behavior of Eigenvalues of the Laplace Operator in Thin Infinite Tubes
   
   Mat. Zametki, 85:5 (2009),  687–701
9. Asymptotic Behavior of the Eigenvalues of the Schrödinger Operator in Thin Closed Tubes
   
   Mat. Zametki, 83:4 (2008),  503–519
10. Asymptotic Behavior of Eigenvalues of the Laplace Operator in Infinite Cylinders Perturbed by Transverse Extensions
    
    Mat. Zametki, 81:3 (2007),  328–334
11. 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
12. On the Eigenvalues of Finitely Perturbed Laplace Operators in Infinite Cylindrical Domains
    
    Mat. Zametki, 75:3 (2004),  360–371
13. 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
14. 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
15. Hypoelliptic differential equations and pseudodifferential operators with operator-valued symbols
    
    Mat. Sb. (N.S.), 88(130):4(8) (1972),  504–521
16. 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
17. A differential equation without a solution
    
    Mat. Zametki, 10:2 (1971),  125–128
18. Singularities of solutions of a certain class of pseudodifferential and degenerating elliptic equations
    
    Uspekhi Mat. Nauk, 26:1(157) (1971),  221–222
19. On a class of elliptic pseudodifferential operators degenerate on a submanifold
    
    Mat. Sb. (N.S.), 84(126):2 (1971),  163–195
20. Elliptic boundary value problems that are degenerate on a submanifold of the boundary
    
    Dokl. Akad. Nauk SSSR, 190:2 (1970),  255–258
21. Pseudodifferential operators on $\mathbf R^n$ with bounded symbols
    
    Funktsional. Anal. i Prilozhen., 4:3 (1970),  37–50
22. Degenerating elliptic differential and psevdo-differential operators
    
    Uspekhi Mat. Nauk, 25:4(154) (1970),  29–56
23. On a class of hypoelliptic operators
    
    Mat. Sb. (N.S.), 83(125):3(11) (1970),  456–473
24. Elliptic pseudodifferential operators on a closed manifold which are degenerate on a submanifold
    
    Dokl. Akad. Nauk SSSR, 189:1 (1969),  16–19
25. Boundary value problems for elliptic equations degenerate on the boundary of a domain
    
    Mat. Sb. (N.S.), 80(122):4(12) (1969),  455–491
26. On a class of higher order degenerate elliptic equations
    
    Mat. Sb. (N.S.), 79(121):1(5) (1969),  3–36
27. Uniformly non-coercive problems for elliptic equations
    
    Dokl. Akad. Nauk SSSR, 172:4 (1967),  759–762
28. Uniformly non-elliptic systems of singular integro-differential equations on compact manifolds
    
    Dokl. Akad. Nauk SSSR, 172:3 (1967),  518–520
29. Uniformly nonelliptic problems. II
    
    Mat. Sb. (N.S.), 73(115):1 (1967),  126–154
30. Uniformly nonelliptic problems. I
    
    Mat. Sb. (N.S.), 72(114):4 (1967),  602–636
31. Solutions with isolated singularities for partial differential equations with constant coefficients
    
    Tr. Mosk. Mat. Obs., 15 (1966),  262–278
32. On certain local theorems for partial differential equations with constant coefficients
    
    Tr. Mosk. Mat. Obs., 14 (1965),  200–210
33. On the existence of non-invariant insoluble subgroups of a finite soluble group
    
    Mat. Sb. (N.S.), 66(108):4 (1965),  525–550
34. Behaviour of solutions of differential equations near the boundary
    
    Dokl. Akad. Nauk SSSR, 158:2 (1964),  264–267
35. Extension of smoothness to solutions of differential equations of smooth type
    
    Dokl. Akad. Nauk SSSR, 148:6 (1963),  1241–1244
36. On Sommerfeld-type conditions for a certain class of partial differential equations
    
    Mat. Sb. (N.S.), 61(103):2 (1963),  147–174
37. A problem in the entire space for a certain class of partial differential equations
    
    Dokl. Akad. Nauk SSSR, 146:6 (1962),  1251–1254
38. Some theorems on removable singularities
    
    Uspekhi Mat. Nauk, 17:4(106) (1962),  111–118
39. 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
40. On $Q$-hypo-elliptic equations
    
    Mat. Sb. (N.S.), 57(99):2 (1962),  233–240
41. Solutions of partial differential equations with constant coefficients
    
    Dokl. Akad. Nauk SSSR, 139:1 (1961),  17–19
42. A property of the solution of a hypoelliptic equation
    
    Dokl. Akad. Nauk SSSR, 137:4 (1961),  768–771
43. On the definition of hypo-elliptic equations
    
    Uspekhi Mat. Nauk, 16:5(101) (1961),  163–166
44. Fundamental solutions of hypoelliptic equations
    
    Uspekhi Mat. Nauk, 16:4(100) (1961),  147–153
45. Isolated singularities of solutions of difference equations
    
    Uspekhi Mat. Nauk, 16:2(98) (1961),  165–166
46. Canonical regularization of some classes of functions
    
    Mat. Sb. (N.S.), 54(96):4 (1961),  397–410
47. On a sufficient condition for compactness of a family of continuous functions
    
    Uspekhi Mat. Nauk, 14:4(88) (1959),  165–168


48. 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
49. Georgii Evgen'evich Shilov (obituary)
    
    Uspekhi Mat. Nauk, 31:1(187) (1976),  217–228