boundary value problems; elliptic and mixed-type PDEs; spectral problems; integral equations.
Main publications:
Polosin A. A. Ob odnoi kraevoi zadache dlya uravneniya smeshannogo tipa s dvumya parallelnymi liniyami vyrozhdeniya // Differentsialnye uravneniya, 1995, t. 31, # 1, s. 168–170.
Polosin A. A. Ob odnoznachnoi razreshimosti zadachi Trikomi dlya odnoi spetsialnoi oblasti // Differentsialnye uravneniya, 1996, t. 32, # 3, s. 394–401.
Polosin A. A. O kraevoi zadache dlya uravneniya Trikomi v spetsialnoi oblasti // Differentsialnye uravneniya, 1999, t. 35, # 8, s. 1101–1111.
Polosin A. A. O raspolozhenii spektra smeshannoi kraevoi zadachi v kvadrate // Differentsialnye uravneniya, 2001.
A. A. Polosin, “On the location of the spectrum of a mixed boundary value problem for the Laplace equation in a half-disk”, Differ. Uravn., 42:5 (2006), 641–652; Differ. Equ., 42:5 (2006), 684–697
A. A. Polosin, “On the Location of the Spectrum of a Mixed Boundary Value Problem in a Square”, Differ. Uravn., 38:8 (2002), 1095–1100; Differ. Equ., 38:8 (2002), 1166–1172
A. A. Polosin, “The basis property of a perturbed trigonometric system”, Differ. Uravn., 36:7 (2000), 1001–1003; Differ. Equ., 36:7 (2000), 1114–1117
1999
5.
A. A. Polosin, “On a boundary value problem for the Tricomi equation in a special domain”, Differ. Uravn., 35:8 (1999), 1101–1111; Differ. Equ., 35:8 (1999), 1113–1124
1996
6.
A. A. Polosin, “On the unique solvability of the Tricomi problem for a special domain”, Differ. Uravn., 32:3 (1996), 394–401; Differ. Equ., 32:3 (1996), 398–405
A. A. Polosin, “On the expansion of the solution of the generalized Gellerstedt problem in a biorthogonal series”, Differ. Uravn., 32:1 (1996), 135–137; Differ. Equ., 32:1 (1996), 143–146
1995
8.
A. A. Polosin, “On a boundary value problem for an equation of mixed type with two parallel lines of degeneracy”, Differ. Uravn., 31:1 (1995), 168–170; Differ. Equ., 31:1 (1995), 156–159
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