Krutitskii Pavel Aleksandrovich

Publications in Math-Net.Ru

1. Application of quadrature formulas for a single-layer potential for an exterior Neumann problem
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:7 (2025),  1249–1264
2. Testing of quadrature formulas for the direct value of the normal derivative of a single-layer potential at the boundary of a thin body
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:10 (2024),  1783–1794
3. Improved quadrature formulas for the direct value of the normal derivative of a single-layer potential
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:2 (2024),  200–219
4. Improved quadrature formula for a single-layer potential
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023),  230–244
5. Quadrature formula for a double layer potential in the case of the Helmholtz equation
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022),  421–436
6. 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.
7. On a quadrature formula for the simple layer potential in a 3D case
   
   Keldysh Institute preprints, 2019, 112, 26 pp.
8. Dirichlet problem for the diffusion equation outside flat surfaces with boundary
   
   Uspekhi Mat. Nauk, 69:4(418) (2014),  183–184
9. On the invertibility of a certain operator
   
   Uspekhi Mat. Nauk, 69:1(415) (2014),  171–172
10. Микроскопическая теория явления проскальзывания фазы в узкой диффузной сверхпроводящей полоске
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 92:11 (2010),  842–846
11. On potentials of static elasticity theory
    
    Uspekhi Mat. Nauk, 64:1(385) (2009),  149–150
12. Nonequilibrium fluctuations of a thin metal diffuse film exposed to microwave radiation
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 88:4 (2008),  291–296
13. The Helmholtz equation with different impedance boundary conditions on different sides of slits in a plane
    
    Keldysh Institute preprints, 2007, 057, 27 pp.
14. The Helmholtz equation with oblique derivative and the Dirichlet condition on sides of slits
    
    Keldysh Institute preprints, 2007, 029, 26 pp.
15. On Stokes potentials for velocities
    
    Uspekhi Mat. Nauk, 62:6(378) (2007),  179–180
16. On the Stokes potential for pressure
    
    Uspekhi Mat. Nauk, 62:2(374) (2007),  177–178
17. 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
18. 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
19. 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
20. A Generalization of the Neumann Problem for the Helmholtz Equation Outside Cuts on the Plane
    
    Differ. Uravn., 41:9 (2005),  1155–1165
21. The Helmholtz equation in a plane with different conditions posed on different sides of the cuts
    
    Keldysh Institute preprints, 2005, 086
22. 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
23. On the mixed problem for the Helmholtz equation in a planar domain with cuts
    
    Uspekhi Mat. Nauk, 60:5(365) (2005),  167–168
24. A generalized jump problem for the Helmholtz equation outside cuts on the plane
    
    Differ. Uravn., 40:9 (2004),  1176–1189
25. 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.
26. 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.
27. 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
28. Method of angular potential in the boundary value problems of magnetised semiconductors physics
    
    Keldysh Institute preprints, 2003, 072, 21 pp.
29. 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
30. On the mixed problem for Laplace equation outside cuts, placed along a circumference in a plane
    
    Fundam. Prikl. Mat., 8:4 (2002),  1129–1158
31. 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
32. A mixed problem in a magnetized semiconductor film with two periodic systems of cuts
    
    Fundam. Prikl. Mat., 8:1 (2002),  47–60
33. 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
34. 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
35. 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
36. The method of integral equations in the oblique derivative problem arising in semiconductor physics
    
    Differ. Uravn., 36:9 (2000),  1196–1208
37. Mixed problem in a magnetized semiconductor film with cuts along a straight line
    
    Fundam. Prikl. Mat., 6:4 (2000),  1061–1073
38. 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
39. A mixed problem for the Laplace equation in three-dimensional multiply connected domains
    
    Differ. Uravn., 35:9 (1999),  1179–1186
40. The Basic Boundary Problem of Magnetized Semiconductors Physics
    
    Keldysh Institute preprints, 1999, 060
41. Exterior initial-boundary value problem for an evolution equation in a multiply connected domain
    
    Differ. Uravn., 34:12 (1998),  1624–1633
42. A mixed problem for the dissipative Helmholtz equation with an arbitrary partition of the boundary
    
    Differ. Uravn., 34:9 (1998),  1216–1225
43. Fredholm systems of integral equations
    
    Uspekhi Mat. Nauk, 53:6(324) (1998),  253–254
44. A mixed problem for the Laplace equation outside cuts on the plane
    
    Differ. Uravn., 33:9 (1997),  1181–1190
45. On the electronical plasma dynamics in the magnetified semiconductor film with a periodical system of electrodes
    
    Fundam. Prikl. Mat., 3:3 (1997),  739–757
46. 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
47. 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
48. 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
49. A mixed problem for the Helmholtz equation outside cuts on the plane
    
    Differ. Uravn., 32:9 (1996),  1202–1211
50. 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
51. The second initial boundary value problem for the gravitation-gyroscopic wave equation in exterior domains
    
    Mat. Zametki, 60:1 (1996),  40–57
52. The mixed problem for the Helmholtz equation in a multiply connected region
    
    Zh. Vychisl. Mat. Mat. Fiz., 36:8 (1996),  127–137
53. The second initial-boundary value problem for an equation of gravitational-gyroscopic waves
    
    Zh. Vychisl. Mat. Mat. Fiz., 36:1 (1996),  136–148
54. Neumann's problem for the Helmholtz equation outside cuts in the plane
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:11 (1994),  1652–1665
55. Dirichlet's problem for the Helmholtz equation outside cuts in a plane
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:8-9 (1994),  1237–1258
56. 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
57. The electric current in a magnetized semiconducting plate with earthed side walls
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:1 (1994),  88–103
58. 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
59. 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
60. On the equivalence of the oblique derivative problem and the Riemann–Hilbert problem
    
    Differ. Uravn., 28:5 (1992),  856–867
61. Application of S. A. Gabov's potentials in semiconductor physics
    
    Zh. Vychisl. Mat. Mat. Fiz., 31:1 (1991),  109–121
62. On the Riemann–Hilbert problem and the oblique derivative problem at the plane with sections along the circumference
    
    Mat. Model., 2:9 (1990),  114–123
63. On oblique derivative problem for a plane with sections along the straight line and relating problems
    
    Mat. Model., 2:4 (1990),  143–154
64. The flow of electric current from rectilinear electrodes in a magnetized semiconductor film
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:11 (1990),  1689–1701
65. 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
66. On a boundary value problem describing the electric current in a magnetized semiconductor
    
    Mat. Model., 1:5 (1989),  71–79
67. On the energy characteristics of a horizontal channel filled with a stratified fluid
    
    Zh. Vychisl. Mat. Mat. Fiz., 29:11 (1989),  1662–1673
68. 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
69. Small non-stationary vibrations of vertical plates in a channel with a stratified liquid
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:12 (1988),  1843–1857
70. Non-stationary planetary waves in semirestricted channels
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:12 (1987),  1824–1833
71. On the non-stationary Larsen problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:8 (1987),  1184–1194