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Krutitskii, Pavel Aleksandrovich
Statistics Math-Net.Ru
Total publications: 68
Scientific articles: 68

Number of views:
This page:3417
Abstract pages:16660
Full texts:6732
References:1857
Candidate of physico-mathematical sciences (1990)
Speciality: 01.01.03 (Mathematical physics)
E-mail:
Website: https://library.keldysh.ru/author_page.asp?aid=3210

https://www.mathnet.ru/eng/person9003
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/245878
https://elibrary.ru/author_items.asp?authorid=107329
ISTINA https://istina.msu.ru/workers/5398415

Publications in Math-Net.Ru Citations
2023
1. P. A. Krutitskii, I. O. Reznichenko, “Improved quadrature formula for a single-layer potential”, Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023),  230–244  mathnet  elib; Comput. Math. Math. Phys., 63:2 (2023), 187–201 2
2022
2. P. A. Krutitskii, I. O. Reznichenko, “Quadrature formula for a double layer potential in the case of the Helmholtz equation”, Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022),  421–436  mathnet  elib 2
2020
3. I. O. Reznichenko, P. A. Krutitskii, “On a quadrature formula for the direct value of the normal derivative of a simple layer potential in a 3D case”, Keldysh Institute preprints, 2020, 098, 31 pp.  mathnet
2019
4. P. A. Krutitskii, A. D. Fedotova, V. V. Kolybasova, “On a quadrature formula for the simple layer potential in a 3D case”, Keldysh Institute preprints, 2019, 112, 26 pp.  mathnet
2014
5. P. A. Krutitskii, “Dirichlet problem for the diffusion equation outside flat surfaces with boundary”, Uspekhi Mat. Nauk, 69:4(418) (2014),  183–184  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:4 (2014), 760–762  isi  scopus
6. P. A. Krutitskii, “On the invertibility of a certain operator”, Uspekhi Mat. Nauk, 69:1(415) (2014),  171–172  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:1 (2014), 162–164  isi  scopus 1
2010
7. A. V. Semenov, P. A. Krutitskii, I. A. Devyatov, “Микроскопическая теория явления проскальзывания фазы в узкой диффузной сверхпроводящей полоске”, Pis'ma v Zh. Èksper. Teoret. Fiz., 92:11 (2010),  842–846  mathnet  elib; JETP Letters, 92:11 (2010), 762–766  isi  elib  scopus 10
2009
8. P. A. Krutitskii, N. Ch. Krutitskaya, “On potentials of static elasticity theory”, Uspekhi Mat. Nauk, 64:1(385) (2009),  149–150  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 64:1 (2009), 150–152  isi  elib  scopus 1
2008
9. I. A. Devyatov, P. A. Krutitskii, A. V. Semenov, D. V. Goncharov, “Nonequilibrium fluctuations of a thin metal diffuse film exposed to microwave radiation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 88:4 (2008),  291–296  mathnet; JETP Letters, 88:4 (2008), 254–258  isi  scopus 3
2007
10. P. A. Krutitskii, “The Helmholtz equation with different impedance boundary conditions on different sides of slits in a plane”, Keldysh Institute preprints, 2007, 057, 27 pp.  mathnet
11. P. A. Krutitskii, K. V. Prozorov, “The Helmholtz equation with oblique derivative and the Dirichlet condition on sides of slits”, Keldysh Institute preprints, 2007, 029, 26 pp.  mathnet
12. P. A. Krutitskii, “On Stokes potentials for velocities”, Uspekhi Mat. Nauk, 62:6(378) (2007),  179–180  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:6 (2007), 1212–1214  isi  elib  scopus 3
13. P. A. Krutitskii, “On the Stokes potential for pressure”, Uspekhi Mat. Nauk, 62:2(374) (2007),  177–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:2 (2007), 385–387  isi  elib  scopus 3
2006
14. P. A. Krutitskii, V. V. Kolybasova, “The Helmholtz equation outside cuts on the plane with the Dirichlet condition and a third-kind boundary condition on opposite sides of the cuts”, Differ. Uravn., 42:9 (2006),  1180–1193  mathnet  mathscinet; Differ. Equ., 42:9 (2006), 1247–1261 4
15. P. A. Krutitskii, A. I. Sgibnev, “The method of integral equations for the mixed problem with the skew derivative for harmonic functions outside cuts in a plane”, Fundam. Prikl. Mat., 12:6 (2006),  115–135  mathnet  mathscinet  zmath  elib; J. Math. Sci., 151:1 (2008), 2710–2725  scopus 1
16. I. A. Devyatov, P. A. Krutitskii, M. Yu. Kupriyanov, “Investigation of various operation modes of a miniature superconducting detector of microwave radiation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 84:2 (2006),  61–66  mathnet; JETP Letters, 84:2 (2006), 57–61  isi  scopus 16
2005
17. P. A. Krutitskii, V. V. Kolybasova, “A Generalization of the Neumann Problem for the Helmholtz Equation Outside Cuts on the Plane”, Differ. Uravn., 41:9 (2005),  1155–1165  mathnet  mathscinet; Differ. Equ., 41:9 (2005), 1213–1224 5
18. V. V. Kolybasova, P. A. Krutitskii, “The Helmholtz equation in a plane with different conditions posed on different sides of the cuts”, Keldysh Institute preprints, 2005, 086  mathnet
19. P. A. Krutitskii, A. I. Sgibnev, “On the singularities of the gradient of the solution to the Dirichlet–Neumann problem outside a plane cut”, Mat. Zametki, 77:3 (2005),  364–377  mathnet  mathscinet  zmath  elib; Math. Notes, 77:3 (2005), 335–347  isi  elib  scopus
20. P. A. Krutitskii, V. V. Kolybasova, “On the mixed problem for the Helmholtz equation in a planar domain with cuts”, Uspekhi Mat. Nauk, 60:5(365) (2005),  167–168  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 60:5 (2005), 973–974  isi  elib  scopus
2004
21. P. A. Krutitskii, K. V. Prozorov, “A generalized jump problem for the Helmholtz equation outside cuts on the plane”, Differ. Uravn., 40:9 (2004),  1176–1189  mathnet  mathscinet; Differ. Equ., 40:9 (2004), 1244–1258 2
22. P. A. Krutitskii, A. I. Sgibnev, “Analysis of singularities of gradient of a solution in the boundary value problem for the Laplace equation outside cut in a plane with mixed boundary condition”, Keldysh Institute preprints, 2004, 031, 34 pp.  mathnet
23. P. A. Krutitskii, A. I. Sgibnev, “Mixed problem for the Laplace equation outside cuts in a plane with setting Dirichlet and skew derivative conditions on the different sides of the cuts”, Keldysh Institute preprints, 2004, 008, 24 pp.  mathnet
2003
24. P. A. Krutitskii, A. I. Sgibnev, “Singularities of the Solution Gradient in the Generalized Jump Problem for the Laplace Equation Outside a Cut on the Plane”, Differ. Uravn., 39:9 (2003),  1165–1175  mathnet  mathscinet; Differ. Equ., 39:9 (2003), 1225–1236 2
25. P. A. Krutitskii, A. V. Chikilev, “Method of angular potential in the boundary value problems of magnetised semiconductors physics”, Keldysh Institute preprints, 2003, 072, 21 pp.  mathnet 1
2002
26. P. A. Krutitskii, A. I. Sgibnev, “The Method of Integral Equations in the Generalized Jump Problem for the Laplace Equation Outside Cuts on the Plane”, Differ. Uravn., 38:9 (2002),  1199–1213  mathnet  mathscinet; Differ. Equ., 38:9 (2002), 1277–1292 5
27. A. I. Sgibnev, P. A. Krutitskii, “On the mixed problem for Laplace equation outside cuts, placed along a circumference in a plane”, Fundam. Prikl. Mat., 8:4 (2002),  1129–1158  mathnet  mathscinet  zmath 1
28. P. A. Krutitskii, K. A. Logginova, “On a boundary value problem, describing the Hall effect in a semi-conductor with two periodic sets of electrodes”, Fundam. Prikl. Mat., 8:3 (2002),  729–742  mathnet  mathscinet  zmath
29. A. S. Gosteva, N. Ch. Krutitskaya, P. A. Krutitskii, “A mixed problem in a magnetized semiconductor film with two periodic systems of cuts”, Fundam. Prikl. Mat., 8:1 (2002),  47–60  mathnet  mathscinet  zmath
2001
30. P. A. Krutitskii, A. I. Sgibnev, “The Method of Integral Equations in the Mixed Dirichlet–Neumann Problem for the Laplace Equation in the Exterior of Cuts in the Plane”, Differ. Uravn., 37:10 (2001),  1299–1310  mathnet  mathscinet; Differ. Equ., 37:10 (2001), 1363–1375 3
31. P. A. Krutitskii, “Method of Boundary Integral Equations in the Mixed Problem for the Laplace Equation with an Arbitrary Partition of the Boundary”, Differ. Uravn., 37:1 (2001),  73–82  mathnet  mathscinet; Differ. Equ., 37:1 (2001), 78–89 3
32. P. A. Krutitskii, “The Mixed Problem for the Laplace Equation in an Exterior Domain with an Arbitrary Partition of the Boundary”, Mat. Zametki, 69:6 (2001),  876–891  mathnet  mathscinet  zmath  elib; Math. Notes, 69:6 (2001), 799–813  isi 4
2000
33. P. A. Krutitskii, A. O. Chikilev, “The method of integral equations in the oblique derivative problem arising in semiconductor physics”, Differ. Uravn., 36:9 (2000),  1196–1208  mathnet  mathscinet; Differ. Equ., 36:9 (2000), 1323–1336 4
34. A. S. Gosteva, N. Ch. Krutitskaya, P. A. Krutitskii, “Mixed problem in a magnetized semiconductor film with cuts along a straight line”, Fundam. Prikl. Mat., 6:4 (2000),  1061–1073  mathnet  mathscinet  zmath 5
35. P. A. Krutitskii, “The first initial boundary value problem for a compound type equation in a three-dimensional multiply connected region”, Mat. Zametki, 68:2 (2000),  249–265  mathnet  mathscinet  zmath; Math. Notes, 68:2 (2000), 217–231  isi 1
1999
36. P. A. Krutitskii, “A mixed problem for the Laplace equation in three-dimensional multiply connected domains”, Differ. Uravn., 35:9 (1999),  1179–1186  mathnet  mathscinet; Differ. Equ., 35:9 (1999), 1193–1200 1
37. P. A. Krutitskii, A. O. Tchickilev, “The Basic Boundary Problem of Magnetized Semiconductors Physics”, Keldysh Institute preprints, 1999, 060  mathnet
1998
38. P. A. Krutitskii, “Exterior initial-boundary value problem for an evolution equation in a multiply connected domain”, Differ. Uravn., 34:12 (1998),  1624–1633  mathnet  mathscinet; Differ. Equ., 34:12 (1998), 1629–1638 2
39. P. A. Krutitskii, “A mixed problem for the dissipative Helmholtz equation with an arbitrary partition of the boundary”, Differ. Uravn., 34:9 (1998),  1216–1225  mathnet  mathscinet; Differ. Equ., 34:9 (1998), 1218–1227
40. P. A. Krutitskii, “Fredholm systems of integral equations”, Uspekhi Mat. Nauk, 53:6(324) (1998),  253–254  mathnet  mathscinet  zmath; Russian Math. Surveys, 53:6 (1998), 1356–1357  isi  scopus
1997
41. P. A. Krutitskii, “A mixed problem for the Laplace equation outside cuts on the plane”, Differ. Uravn., 33:9 (1997),  1181–1190  mathnet  mathscinet; Differ. Equ., 33:9 (1997), 1184–1193 3
42. L. V. Busheva, P. A. Krutitskii, “On the electronical plasma dynamics in the magnetified semiconductor film with a periodical system of electrodes”, Fundam. Prikl. Mat., 3:3 (1997),  739–757  mathnet  mathscinet  zmath 1
43. P. A. Krutitskii, “The first initial-boundary value problem for the gravity-inertia wave equation in a multiply connected domain”, Zh. Vychisl. Mat. Mat. Fiz., 37:1 (1997),  117–128  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:1 (1997), 113–123 10
1996
44. P. A. Krutitskii, “On the asymptotics of the gradient of the solution and the appearance of singularities in an initial-boundary value problem for an equation of composite type”, Dokl. Akad. Nauk, 351:5 (1996),  586–591  mathnet  mathscinet  zmath
45. P. A. Krutitskii, “Reduction of the second initial-boundary value problem for the equation of gravitational-gyroscopic waves to a uniquely solvable integral equation”, Differ. Uravn., 32:10 (1996),  1386–1395  mathnet  mathscinet; Differ. Equ., 32:10 (1996), 1383–1392 1
46. P. A. Krutitskii, “A mixed problem for the Helmholtz equation outside cuts on the plane”, Differ. Uravn., 32:9 (1996),  1202–1211  mathnet  mathscinet; Differ. Equ., 32:9 (1996), 1204–1212 1
47. N. Ch. Krutitskaya, P. A. Krutitskii, G. Yu. Malysheva, “On the electron plasma dynamics in the magnetized semiconductor film with the electrode placed at the arc of a circumference”, Fundam. Prikl. Mat., 2:1 (1996),  147–160  mathnet  mathscinet  zmath 4
48. P. A. Krutitskii, “The second initial boundary value problem for the gravitation-gyroscopic wave equation in exterior domains”, Mat. Zametki, 60:1 (1996),  40–57  mathnet  mathscinet  zmath; Math. Notes, 60:1 (1996), 29–41  isi 9
49. P. A. Krutitskiĭ, “The mixed problem for the Helmholtz equation in a multiply connected region”, Zh. Vychisl. Mat. Mat. Fiz., 36:8 (1996),  127–137  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:8 (1996), 1087–1095  isi 27
50. P. A. Krutitskiĭ, “The second initial-boundary value problem for an equation of gravitational-gyroscopic waves”, Zh. Vychisl. Mat. Mat. Fiz., 36:1 (1996),  136–148  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:1 (1996), 113–123  isi 6
1994
51. P. A. Krutitskii, “Neumann's problem for the Helmholtz equation outside cuts in the plane”, Zh. Vychisl. Mat. Mat. Fiz., 34:11 (1994),  1652–1665  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:11 (1994), 1421–1431  isi 28
52. P. A. Krutitskiĭ, “Dirichlet's problem for the Helmholtz equation outside cuts in a plane”, Zh. Vychisl. Mat. Mat. Fiz., 34:8-9 (1994),  1237–1258  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:8-9 (1994), 1073–1090 40
53. P. A. Krutitskiĭ, “The limit amplitude of the initial and boundary-value problem for an equation of composite type in a multiply connected domain”, Zh. Vychisl. Mat. Mat. Fiz., 34:7 (1994),  1104–1111  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:7 (1994), 951–957  isi 2
54. N. Ch. Krutitskaya, P. A. Krutitskii, “The electric current in a magnetized semiconducting plate with earthed side walls”, Zh. Vychisl. Mat. Mat. Fiz., 34:1 (1994),  88–103  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:1 (1994), 71–83  isi 1
1992
55. P. A. Krutitskii, “Solution of a hyperbolic boundary value problem as a result of applying the limit amplitude principle to an initial-boundary value problem for an equation of composite type”, Dokl. Akad. Nauk, 325:5 (1992),  907–914  mathnet  mathscinet  zmath; Dokl. Math., 46:1 (1993), 118–125 1
56. P. A. Krutitskii, “Explicit solution of the Dirichlet problem for an equation of composite type in a multiply connected domain”, Dokl. Akad. Nauk, 325:3 (1992),  428–433  mathnet  mathscinet  zmath; Dokl. Math., 46:1 (1993), 63–69 7
57. P. A. Krutitskii, “On the equivalence of the oblique derivative problem and the Riemann–Hilbert problem”, Differ. Uravn., 28:5 (1992),  856–867  mathnet  mathscinet; Differ. Equ., 28:5 (1992), 698–707 2
1991
58. P. A. Krutitskii, “Application of S. A. Gabov's potentials in semiconductor physics”, Zh. Vychisl. Mat. Mat. Fiz., 31:1 (1991),  109–121  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 31:1 (1991), 75–84  isi 11
1990
59. P. A. Krutitskii, “On the Riemann–Hilbert problem and the oblique derivative problem at the plane with sections along the circumference”, Matem. Mod., 2:9 (1990),  114–123  mathnet  mathscinet  zmath 1
60. P. A. Krutitskii, “On oblique derivative problem for a plane with sections along the straight line and relating problems”, Matem. Mod., 2:4 (1990),  143–154  mathnet  mathscinet  zmath 5
61. P. A. Krutitskii, “The flow of electric current from rectilinear electrodes in a magnetized semiconductor film”, Zh. Vychisl. Mat. Mat. Fiz., 30:11 (1990),  1689–1701  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 30:6 (1990), 64–73 7
62. S. A. Gabov, P. A. Krutitskii, “Energy characteristics of non-stationary internal waves in a vertical channel containing a stratified liquid”, Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990),  751–766  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 81–92
1989
63. S. A. Gabov, P. A. Krutitskii, “On a boundary value problem describing the electric current in a magnetized semiconductor”, Matem. Mod., 1:5 (1989),  71–79  mathnet  mathscinet  zmath 5
64. S. A. Gabov, P. A. Krutitskii, “On the energy characteristics of a horizontal channel filled with a stratified fluid”, Zh. Vychisl. Mat. Mat. Fiz., 29:11 (1989),  1662–1673  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 42–50 1
65. S. A. Gabov, P. A. Krutitskii, “On the small vibrations of a section placed at the boundary of separation between two stratified liquids”, Zh. Vychisl. Mat. Mat. Fiz., 29:4 (1989),  554–564  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:2 (1989), 154–162 6
1988
66. P. A. Krutitskii, “Small non-stationary vibrations of vertical plates in a channel with a stratified liquid”, Zh. Vychisl. Mat. Mat. Fiz., 28:12 (1988),  1843–1857  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:6 (1988), 166–176 6
1987
67. P. A. Krutitskii, “Non-stationary planetary waves in semirestricted channels”, Zh. Vychisl. Mat. Mat. Fiz., 27:12 (1987),  1824–1833  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 145–151 1
68. S. A. Gabov, P. A. Krutitskii, “On the non-stationary Larsen problem”, Zh. Vychisl. Mat. Mat. Fiz., 27:8 (1987),  1184–1194  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:4 (1987), 148–154 7

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