Bakushinskii, A. B.; Leonov, A. S. Fast solution algorithm for a three-dimensional inverse multifrequency problem of scalar acoustics with data in a cylindrical domain. (English. Russian original) Zbl 07492856 Comput. Math. Math. Phys. 62, No. 2, 287-301 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 2, 289-304 (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{A. B. Bakushinskii} and \textit{A. S. Leonov}, Comput. Math. Math. Phys. 62, No. 2, 287--301 (2022; Zbl 07492856); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 2, 289--304 (2022) Full Text: DOI arXiv OpenURL
Rumyantseva, Olga D.; Shurup, Andrey S.; Zotov, Dmitriy I. Possibilities for separation of scalar and vector characteristics of acoustic scatterer in tomographic polychromatic regime. (English) Zbl 1469.35262 J. Inverse Ill-Posed Probl. 29, No. 3, 407-420 (2021). MSC: 35R30 65N21 PDF BibTeX XML Cite \textit{O. D. Rumyantseva} et al., J. Inverse Ill-Posed Probl. 29, No. 3, 407--420 (2021; Zbl 1469.35262) Full Text: DOI OpenURL
Lakshtanov, Evgeny; Vainberg, Boris Recovery of \(L^p\)-potential in the plane. (English) Zbl 1375.35121 J. Inverse Ill-Posed Probl. 25, No. 5, 633-651 (2017). MSC: 35J10 30E25 35P25 35Q15 35R30 35Q53 PDF BibTeX XML Cite \textit{E. Lakshtanov} and \textit{B. Vainberg}, J. Inverse Ill-Posed Probl. 25, No. 5, 633--651 (2017; Zbl 1375.35121) Full Text: DOI arXiv OpenURL
De Hoop, M. V.; Lassas, M.; Santacesaria, M.; Siltanen, S.; Tamminen, J. P. Positive-energy D-bar method for acoustic tomography: a computational study. (English) Zbl 1365.92054 Inverse Probl. 32, No. 2, Article ID 025003, 35 p. (2016). MSC: 92C55 PDF BibTeX XML Cite \textit{M. V. De Hoop} et al., Inverse Probl. 32, No. 2, Article ID 025003, 35 p. (2016; Zbl 1365.92054) Full Text: DOI arXiv OpenURL
Henkin, G. M.; Novikov, R. G. On the reconstruction of conductivity of a bordered two-dimensional surface in \(\mathbb R^3\) from electrical current measurements on its boundary. (English) Zbl 1227.35244 J. Geom. Anal. 21, No. 3, 543-587 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35R30 35R05 78A46 PDF BibTeX XML Cite \textit{G. M. Henkin} and \textit{R. G. Novikov}, J. Geom. Anal. 21, No. 3, 543--587 (2011; Zbl 1227.35244) Full Text: DOI arXiv OpenURL
Dubrovsky, V. G.; Topovsky, A. V.; Basalaev, M. Yu. Two-dimensional stationary Schrödinger equation via the \(\bar{\partial}\)-dressing method: new exactly solvable potentials, wave functions, and their physical interpretation. (English) Zbl 1309.81070 J. Math. Phys. 51, No. 9, 092106, 22 p. (2010). MSC: 81Q05 81Q80 81U15 35J10 PDF BibTeX XML Cite \textit{V. G. Dubrovsky} et al., J. Math. Phys. 51, No. 9, 092106, 22 p. (2010; Zbl 1309.81070) Full Text: DOI Link OpenURL
Henkin, Gennadi; Michel, Vincent Inverse conductivity problem on Riemann surfaces. (English) Zbl 1151.35101 J. Geom. Anal. 18, No. 4, 1033-1052 (2008). MSC: 35R30 81U40 35R05 35Q40 37J35 37K10 PDF BibTeX XML Cite \textit{G. Henkin} and \textit{V. Michel}, J. Geom. Anal. 18, No. 4, 1033--1052 (2008; Zbl 1151.35101) Full Text: DOI arXiv OpenURL
Novikov, R. G. The \(\bar{\partial}\)-approach to monochromatic inverse scattering in three dimensions. (English) Zbl 1144.81032 J. Geom. Anal. 18, No. 2, 612-631 (2008). MSC: 81U40 35R30 PDF BibTeX XML Cite \textit{R. G. Novikov}, J. Geom. Anal. 18, No. 2, 612--631 (2008; Zbl 1144.81032) Full Text: DOI OpenURL
Grinevich, Piotr G.; Novikov, Roman G. Transparent potentials at fixed energy in dimension two. Fixed-energy dispersion relations for the fast decaying potentials. (English) Zbl 0843.35090 Commun. Math. Phys. 174, No. 2, 409-446 (1995). MSC: 35Q40 81U30 81U40 PDF BibTeX XML Cite \textit{P. G. Grinevich} and \textit{R. G. Novikov}, Commun. Math. Phys. 174, No. 2, 409--446 (1995; Zbl 0843.35090) Full Text: DOI arXiv OpenURL
Novikov, Roman G. The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential. (English) Zbl 0803.35166 Commun. Math. Phys. 161, No. 3, 569-595 (1994). MSC: 35R30 81U40 35Q40 35P25 PDF BibTeX XML Cite \textit{R. G. Novikov}, Commun. Math. Phys. 161, No. 3, 569--595 (1994; Zbl 0803.35166) Full Text: DOI OpenURL
Novikov, R. G. The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator. (English) Zbl 0762.35077 J. Funct. Anal. 103, No. 2, 409-463 (1992). Reviewer: M.Perelmuter (Kiev) MSC: 35P25 35R30 81U40 47A40 35Q40 58J72 PDF BibTeX XML Cite \textit{R. G. Novikov}, J. Funct. Anal. 103, No. 2, 409--463 (1992; Zbl 0762.35077) Full Text: DOI OpenURL
Novikov, R. G. Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\). (English. Russian original) Zbl 0689.35098 Funct. Anal. Appl. 22, No. 4, 263-272 (1988); translation from Funkts. Anal. Prilozh. 22, No. 4, 11-22 (1988). Reviewer: R.G.Novikov MSC: 35R30 35J10 45B05 PDF BibTeX XML Cite \textit{R. G. Novikov}, Funct. Anal. Appl. 22, No. 4, 263--272 (1988; Zbl 0689.35098); translation from Funkts. Anal. Prilozh. 22, No. 4, 11--22 (1988) Full Text: DOI OpenURL