Properties of families of exponential function (non-harmonic series).
Controllability of distributed parameter systems.
Inverse problems of Mathematical Physics
Magnet anomalies
Biography
Master: 1975
Department of Mathematical Physics, Leningrad State University, Russia
Ph.D: 1983
Faculty of Mathematics and Mechanics, Department of Mathematic and mechanics,
Leningrad State University, Russia
Ph.D Thesis: Completeness and Basis Property of Eigenfunction System of Ordinary non-Selfadjont Operator.
More than 100 publications inluding 2 books
Main publications:
S. Ivanov; L. Pandolfi, “Heat equation with memory: lack of controllability to rest”, Journal of Mathematical Analisys and Applications, 355 (2009), 1–11
A. Eremenko, S.A. Ivanov, “Spectra of the Gurtin–Pipkin Type Equations”, SIAM J. Math. Anal., 43 (2011), 2296–2306
S.A. Avdoni, S.A. Ivanov, Families of exponentials, The method of moments in controllability problems for distributed parameter systems, Cambridge University Press, Cambridge, 1995
S. A. Avdonin, S. A. Ivanov, “Density of Zeros of the Cartwright Class Functions and the Helson–Szegő Type Condition”, Mat. Zametki, 113:2 (2023), 163–170; Math. Notes, 113:2 (2023), 165–171
2008
2.
V. V. Vlasov, S. A. Ivanov, “Sharp estimates for solutions of systems with aftereffect”, Algebra i Analiz, 20:2 (2008), 43–69; St. Petersburg Math. J., 20:2 (2009), 193–211
V. V. Vlasov, S. A. Ivanov, “Estimates for solutions of nonhomogeneous differential-difference equations of neutral type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 3, 24–30; Russian Math. (Iz. VUZ), 50:3 (2006), 22–28
M. I. Belishev, S. A. Ivanov, “Determination of the parameters of the system of connected beams from dynamical boundary measurements”, Zap. Nauchn. Sem. POMI, 324 (2005), 20–42; J. Math. Sci. (N. Y.), 138:2 (2006), 5491–5502
V. V. Vlasov, S. A. Ivanov, “Sobolev space estimates for solutions of equations with retardation, and a basis built from divided differences”, Algebra i Analiz, 15:4 (2003), 115–141; St. Petersburg Math. J., 15:4 (2004), 545–561
V. V. Vlasov, S. A. Ivanov, “Estimates of Solutions to Equations with Aftereffect in Sobolev Spaces and the Basis of Divided Differences”, Mat. Zametki, 72:2 (2002), 303–306; Math. Notes, 72:2 (2002), 271–274
S. A. Avdonin, S. A. Ivanov, “Exponential Riesz bases of subspaces and divided differences”, Algebra i Analiz, 13:3 (2001), 1–17; St. Petersburg Math. J., 13:3 (2002), 339–351
S. Ivanov, N. Kalton, “Interpolation of subspaces and applications to exponential bases”, Algebra i Analiz, 13:2 (2001), 93–115; St. Petersburg Math. J., 13:2 (2002), 221–239
V. V. Vlasov, S. A. Ivanov, “The basis property and bounds for the
solutions of equations with after-effect in a scale of Sobolev
spaces”, Uspekhi Mat. Nauk, 56:3(339) (2001), 151–152; Russian Math. Surveys, 56:3 (2001), 595–596
M. I. Belishev, S. A. Ivanov, “A local uniqueness in the dynamical inverse problem for the two–velosity system”, Zap. Nauchn. Sem. POMI, 275 (2001), 41–54; J. Math. Sci. (N. Y.), 117:2 (2003), 3910–3917
V. G. Korneev, S. A. Ivanov, “Preconditioning in the domain decomposition methods for the $p$-version with the hierarchical bases”, Matem. Mod., 8:9 (1996), 63–73
S. A. Ivanov, V. G. Korneev, “Choice of high order coordinate functions and preconditioning in frames of the method of domain decomposition”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 4, 62–81; Russian Math. (Iz. VUZ), 39:4 (1995), 58–76
M. I. Belishev, S. A. Ivanov, “Boundary control and canonical realizations of a two-velosity dynamical system”, Zap. Nauchn. Sem. POMI, 222 (1995), 18–44; J. Math. Sci. (New York), 87:5 (1997), 3788–3805
S. A. Avdonin, M. I. Belishev, S. A. Ivanov, “The controllability in a filled domain for a multidimensional wave equation with a singular boundary control”, Zap. Nauchn. Sem. POMI, 210 (1994), 7–21; J. Math. Sci., 83:2 (1997), 165–174
S. A. Avdonin, S. A. Ivanov, A. Z. Ishmukhametov, “A quadratic problem of the optimal control of the vibrations of a
string”, Dokl. Akad. Nauk SSSR, 316:4 (1991), 781–785; Dokl. Math., 43:1 (1991), 154–158
17.
S. A. Avdonin, M. I. Belishev, S. A. Ivanov, “Boundary control and a matrix inverse problem for the equation $u_{tt}-u_{xx}+V(x)u=0$”, Mat. Sb., 182:3 (1991), 307–331; Math. USSR-Sb., 72:2 (1992), 287–310
S. A. Ivanov, V. G. Korneev, “The problem of the thermal emission of a shell taking internal reflection into account”, Zh. Vychisl. Mat. Mat. Fiz., 31:1 (1991), 132–142; U.S.S.R. Comput. Math. Math. Phys., 31:1 (1991), 92–100
1989
19.
S. A. Avdonin, S. A. Ivanov, “A generating matrix function in problems of the control of the
vibrations of connected strings”, Dokl. Akad. Nauk SSSR, 307:5 (1989), 1033–1037; Dokl. Math., 40:1 (1990), 179–183
S. A. Ivanov, V. G. Korneev, Ĭ. Lang, “Estimates of constants in inequalities for basis elements”, Zh. Vychisl. Mat. Mat. Fiz., 28:9 (1988), 1425–1431; U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 97–101
1987
21.
S. A. Ivanov, “Best approximations by rational vector-valued functions in Hardy spaces”, Mat. Sb. (N.S.), 133(175):1(5) (1987), 134–142; Math. USSR-Sb., 61:1 (1988), 137–145
1984
22.
S. A. Avdonin, S. A. Ivanov, “Serial bases of exponentials and the problem of damping of a
system of strings”, Dokl. Akad. Nauk SSSR, 275:2 (1984), 355–358
1979
23.
A. I. Koshelev, A. L. Belopol'skii, A. S. Bondarev, S. A. Ivanov, L. M. Tovkach, “Convergence of certain iteration processes for a nonlinear boundary value problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 10, 47–56; Soviet Math. (Iz. VUZ), 23:10 (1979), 47–56
1978
24.
S. A. Ivanov, B. S. Pavlov, “Carleson series of resonances in the Regge problem”, Izv. Akad. Nauk SSSR Ser. Mat., 42:1 (1978), 26–55; Math. USSR-Izv., 12:1 (1978), 21–51
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