Shlapunov Aleksandr Anatol'evich

Publications in Math-Net.Ru

1. Generalized Navier–Stokes equations associated with the Dolbeault complex
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 241 (2025),  90–100
2. On the grothendieck duality for the space of holomorphic Sobolev functions
   
   J. Sib. Fed. Univ. Math. Phys., 17:4 (2024),  513–518
3. On Runge type theorems for solutions to strongly uniformly parabolic operators
   
   Sib. Èlektron. Mat. Izv., 21:1 (2024),  383–404
4. On Grothendieck-type duality for spaces of holomorphic functions of several variables
   
   Mat. Sb., 215:8 (2024),  120–140
5. The Fredholm Navier–Stokes type equations for the de Rham complex over weighted Hölder spaces
   
   J. Sib. Fed. Univ. Math. Phys., 16:3 (2023),  283–299
6. On the ill-posed Cauchy problem for the polyharmonic heat equation
   
   J. Sib. Fed. Univ. Math. Phys., 16:2 (2023),  194–203
7. On the Approximation of Solutions to the Heat Equation in the Lebesgue Class $L^2$ by More Regular Solutions
   
   Mat. Zametki, 111:5 (2022),  778–794
8. Approximation and Carleman formulas for solutions to parabolic Lamé-type operators in cylindrical domains
   
   Sibirsk. Mat. Zh., 63:6 (2022),  1224–1236
9. Inverse image of precompact sets and regular solutions to the Navier-Stokes equations
   
   Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:2 (2022),  278–297
10. An open mapping theorem for the Navier-Stokes type equations associated with the de Rham complex over ${\mathbb R}^n$
    
    Sib. Èlektron. Mat. Izv., 18:2 (2021),  1433–1466
11. On the de Rham complex on a scale of anisotropic weighted Hölder spaces
    
    Sib. Èlektron. Mat. Izv., 17 (2020),  428–444
12. On Carleman-type formulas for solutions to the heat equation
    
    J. Sib. Fed. Univ. Math. Phys., 12:4 (2019),  421–433
13. Navier–Stokes equations for elliptic complexes
    
    J. Sib. Fed. Univ. Math. Phys., 12:1 (2019),  3–27
14. On the Closure of Smooth Compactly Supported Functions in Weighted Hölder Spaces
    
    Mat. Zametki, 105:4 (2019),  616–631
15. On the Fredholm property for the steady Navier–Stokes equations in weighted Hölder spaces
    
    J. Sib. Fed. Univ. Math. Phys., 11:5 (2018),  659–662
16. Construction of Carleman formulas by using mixed problems with parameter-dependent boundary conditions
    
    Sibirsk. Mat. Zh., 58:4 (2017),  870–884
17. On an analogue of the Riemann–Hilbert problem for a non-linear perturbation of the Cauchy–Riemann operator
    
    J. Sib. Fed. Univ. Math. Phys., 9:4 (2016),  427–431
18. Sturm–Liouville problems in weighted spaces in domains with nonsmooth edges. II
    
    Mat. Tr., 18:2 (2015),  133–204
19. Sturm–Liouville problems in weighted spaces in domains with nonsmooth edges. I
    
    Mat. Tr., 18:1 (2015),  118–189
20. On the spectral properties of a non-coercive mixed problem associated with $\overline\partial$-operator
    
    J. Sib. Fed. Univ. Math. Phys., 6:2 (2013),  247–261
21. On an ill-posed problem for the heat equation
    
    J. Sib. Fed. Univ. Math. Phys., 5:3 (2012),  337–348
22. Boundary problems for Helmholtz equation and the Cauchy problem for Dirac operators
    
    J. Sib. Fed. Univ. Math. Phys., 4:2 (2011),  217–228
23. Negative Sobolev Spaces in the Cauchy Problem for the Cauchy–Riemann Operator
    
    J. Sib. Fed. Univ. Math. Phys., 2:1 (2009),  17–30
24. The Cauchy problem for operators with injective symbol in the Lebesgue space $L^2$ in a domain
    
    Sibirsk. Mat. Zh., 50:3 (2009),  687–702
25. On the Cauchy Problem for Operators with Injective Symbols in Sobolev Spaces
    
    J. Sib. Fed. Univ. Math. Phys., 1:1 (2008),  52–62
26. On the Cauchy problem for the multi-dimensional Cauchy-Riemann operator in the Lebesgue space $L^2$ in a domain
    
    Mat. Sb., 199:11 (2008),  141–160
27. Green's formulas in complex analysis
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 108 (2006),  106–157
28. A Method for Constructing Solutions to Linear Systems of Partial Differential Equations
    
    Mat. Tr., 9:2 (2006),  191–204
29. On some conditions for the solvability of overdetermined systems of differential equations in Sobolev spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 4,  70–80
30. On duality in spaces of polyharmonic functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 8,  79–81
31. On duality in spaces of solutions to elliptic systems
    
    Sibirsk. Mat. Zh., 43:4 (2002),  953–963
32. On a olvability condition for systems with an injective symbol in terms of iterations of double layer potentials
    
    Sibirsk. Mat. Zh., 42:4 (2001),  952–963
33. On the property of uniqueness and existence of a limit in Carleman's formulas
    
    Trudy Mat. Inst. Steklov., 203 (1994),  3–12
34. Bases with double orthogonality in the Cauchy problem for systems with an injective symbol
    
    Dokl. Akad. Nauk, 326:1 (1992),  45–49
35. On the Cauchy problem for holomorphic functions of the Lebesgue class $L^2$ in a domain
    
    Sibirsk. Mat. Zh., 33:5 (1992),  186–195
36. On the Cauchy problem for the Laplace equation
    
    Sibirsk. Mat. Zh., 33:3 (1992),  205–215