Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: linear differential operators; spectral analysis. Sturm-Liouville operators, Shroedinger operators, Dirac system, asymptotic formulae, basis property, inverse spectral problems
UDC: 517.984.55, 517.927.25, 517.9, 517.43, 517.984
MSC: 34L15, 34L16, 34L20, 34L40, 34B24

Subject:

Spectral analysis, ordinary differential operators, inverse spectral problems

Main publications:

1. A.M.Savchuk, A.A.Shkalikov, “Sturm-liouville operators with singular potentials”, Mathematical Notes, 66:6 (1999), 741-753
2. A.M.Savchuk, A.A.Shkalikov, “Sturm-Liouville operators with distribution potentials”, Transactions of the Moscow Mathematical Society, 64 (2003), 143-192
3. A.M.Savchuk, A.A.Shkalikov, “On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces”, Mathematical Notes, 80:5 (2006), 814-832
4. A.M.Savchuk, A.A.Shkalikov, “Inverse problems for Sturm—Liouville operators with potentials in Sobolev spaces: Uniform stability”, Functional Analysis and its Applications, 44:4 (2010), 270-285
5. A.M.Savchuk, A.A.Shkalikov, “The Dirac operator with complex-valued potential”, Mathematical Notes, 96:5 (2014), 3-36

Publications in Math-Net.Ru

Talks and lectures

Personal pages:

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Organisations:

• Moscow Center for Fundamental and Applied Mathematics
• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics