01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
18.12.1950
E-mail:
Keywords:
general theory of boundary value problems for partial differential equations. boundary value problems for partial differential equations differential operator on torus,
linear differential equation on torus,
Mizohata equation,
nonstandard analysis,
hypoellipticity.
general theory of boundary value problems for partial differential equations, extensions of differential operators, mathematical physics
Main publications:
Burskii V. P. On well-posedness of boundary value problems for some class of general PDEs in a generalized setting // Functional Differential Equations, 2001, v. 8, no. 1–2, p. 89–100.
V. P. Burskii, “Some new methods for studying boundary value problems for
general partial differential equations”, TMF, 218:1 (2024), 48–59; Theoret. and Math. Phys., 218:1 (2024), 41–50
2023
2.
V. P. Burskii, “On weak solutions of boundary value problems for some general differential equations”, Izv. RAN. Ser. Mat., 87:5 (2023), 41–56; Izv. Math., 87:5 (2023), 891–905
2020
3.
V. P. Burskii, E. V. Lesina, “On boundary value problems for an improperly elliptic equation in a circle”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020), 1351–1366; Comput. Math. Math. Phys., 60:8 (2020), 1306–1321
V. P. Burskii, “Generalized solutions of the linear boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 12, 25–36; Russian Math. (Iz. VUZ), 63:12 (2019), 21–31
V. P. Burskii, “Equation–Domain Duality in the Dirichlet Problem for General Differential Equations in the Space $L_2$”, Trudy Mat. Inst. Steklova, 306 (2019), 41–51; Proc. Steklov Inst. Math., 306 (2019), 33–42
2018
6.
V. P. Burskii, “On differential operators and differential equations on torus”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:4 (2018), 607–619
2010
7.
V. P. Burskii, A. A. Telitsyna, “On solutions with power-law singularities of the homogeneous Dirichlet problem for the Laplace equation in domains with biquadratic boundaries”, CMFD, 35 (2010), 33–43; Journal of Mathematical Sciences, 170:3 (2010), 294–305
2006
8.
V. P. Burskii, A. S. Zhedanov, “Boundary value problems for string equation, Poncelet problem, and Pell–Abel equation: links and relations”, CMFD, 16 (2006), 5–9; Journal of Mathematical Sciences, 149:5 (2008), 1483–1487
Vladimir P. Burskii, Alexei S. Zhedanov, “Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell–Abel Equation”, SIGMA, 2 (2006), 041, 5 pp.
V. P. Burskii, E. A. Buryachenko, “Some aspects of the nontrivial solvability of homogeneous Dirichlet problems for linear equations of arbitrary even order in the disk”, Mat. Zametki, 77:4 (2005), 498–508; Math. Notes, 77:4 (2005), 461–470
V. P. Burskii, “Violation of the uniqueness of the solution of the Dirichlet problem for systems of second-order differential equations in the disk”, Mat. Zametki, 65:1 (1999), 23–27; Math. Notes, 65:1 (1999), 20–23
V. P. Burskii, “Generalized solutions of boundary-value problems for differential equations of general form”, Uspekhi Mat. Nauk, 53:4(322) (1998), 215–216; Russian Math. Surveys, 53:4 (1998), 864–865
V. P. Burskii, “Breakdown of uniqueness of solutions of the Dirichlet problem for elliptic systems in a disc”, Mat. Zametki, 48:3 (1990), 32–36; Math. Notes, 48:3 (1990), 894–897
V. P. Burskii, “Boundary properties of $L_2$-solutions of linear differential
equations and the equation-domain duality”, Dokl. Akad. Nauk SSSR, 309:5 (1989), 1036–1039; Dokl. Math., 40:3 (1990), 592–595
V. P. Burskii, “Uniqueness of the solution of the Dirichlet problem in a ball for the wave equation”, Differ. Uravn., 24:6 (1988), 1038–1039
16.
V. P. Burskii, “Remarks on the Dirichlet problem for an ultrahyperbolic equation and integral geometry on the sphere”, Uspekhi Mat. Nauk, 43:5(263) (1988), 181–182; Russian Math. Surveys, 43:5 (1988), 215–216
V. P. Burskiĭ, “Boundary value problems for a second-order hyperbolic equation in a disk”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 2, 22–29; Soviet Math. (Iz. VUZ), 31:2 (1987), 34–47
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