Romanov, V. G. Phaseless problem of determination of anisotropic conductivity in electrodynamic equations. (English. Russian original) Zbl 07503284 Dokl. Math. 104, No. 3, 385-389 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 79-83 (2021). MSC: 35R30 35Q61 78A46 PDF BibTeX XML Cite \textit{V. G. Romanov}, Dokl. Math. 104, No. 3, 385--389 (2021; Zbl 07503284); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 79--83 (2021) Full Text: DOI OpenURL
Romanov, V. G. Problem of determining the anisotropic conductivity in electrodynamic equations. (English. Russian original) Zbl 1478.78037 Dokl. Math. 103, No. 1, 44-46 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 53-55 (2021). MSC: 78A46 78A40 35Q61 PDF BibTeX XML Cite \textit{V. G. Romanov}, Dokl. Math. 103, No. 1, 44--46 (2021; Zbl 1478.78037); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 53--55 (2021) Full Text: DOI OpenURL
Romanov, Vladimir G. Regularization of a continuation problem for electrodynamic equations. (English) Zbl 1469.35197 J. Inverse Ill-Posed Probl. 28, No. 5, 751-760 (2020). Reviewer: Eric Stachura (Marietta) MSC: 35Q61 78A25 35B65 35F45 35L40 35R25 PDF BibTeX XML Cite \textit{V. G. Romanov}, J. Inverse Ill-Posed Probl. 28, No. 5, 751--760 (2020; Zbl 1469.35197) Full Text: DOI OpenURL
Romanov, V. G. An inverse phaseless problem for electrodynamic equations in an anisotropic medium. (English. Russian original) Zbl 1435.35418 Dokl. Math. 100, No. 2, 496-500 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 4, 367-371 (2019). MSC: 35R30 35Q61 78A25 PDF BibTeX XML Cite \textit{V. G. Romanov}, Dokl. Math. 100, No. 2, 496--500 (2019; Zbl 1435.35418); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 4, 367--371 (2019) Full Text: DOI OpenURL
Dedok, V. A.; Karchevskiĭ, A. L.; Romanov, V. G. A numerical method of determining permittivity from the modulus of the electric intensity vector of an electromagnetic field. (Russian, English) Zbl 1438.78001 Sib. Zh. Ind. Mat. 22, No. 3, 48-58 (2019); translation in J. Appl. Ind. Math. 13, No. 3, 436-446 (2019). MSC: 78A25 35Q60 35R30 65Z05 78M99 PDF BibTeX XML Cite \textit{V. A. Dedok} et al., Sib. Zh. Ind. Mat. 22, No. 3, 48--58 (2019; Zbl 1438.78001); translation in J. Appl. Ind. Math. 13, No. 3, 436--446 (2019) Full Text: DOI OpenURL
Romanov, V. G. Determination of permittivity from the modulus of the electric strength of a high-frequency electromagnetic field. (English. Russian original) Zbl 1427.35263 Dokl. Math. 99, No. 1, 44-47 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 3, 269-272 (2019). Reviewer: Jichun Li (Las Vegas) MSC: 35Q60 78A25 35R30 35C20 PDF BibTeX XML Cite \textit{V. G. Romanov}, Dokl. Math. 99, No. 1, 44--47 (2019; Zbl 1427.35263); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 3, 269--272 (2019) Full Text: DOI OpenURL
Romanov, V. G. The problem of recovering the permittivity coefficient from the modulus of the scattered electromagnetic field. (English. Russian original) Zbl 1379.35304 Sib. Math. J. 58, No. 4, 711-717 (2017); translation from Sib. Mat. Zh. 58, No. 4, 916-924 (2017). Reviewer: Jiang Xue (Beijing) MSC: 35Q60 78A46 35B40 35R30 35A02 PDF BibTeX XML Cite \textit{V. G. Romanov}, Sib. Math. J. 58, No. 4, 711--717 (2017; Zbl 1379.35304); translation from Sib. Mat. Zh. 58, No. 4, 916--924 (2017) Full Text: DOI OpenURL
Romanov, V. G. Problem of determining the permittivity in the stationary system of Maxwell equations. (English. Russian original) Zbl 1375.35532 Dokl. Math. 95, No. 3, 230-234 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 4, 413-417 (2017). MSC: 35Q61 78A25 78A40 35R30 PDF BibTeX XML Cite \textit{V. G. Romanov}, Dokl. Math. 95, No. 3, 230--234 (2017; Zbl 1375.35532); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 4, 413--417 (2017) Full Text: DOI OpenURL
Hasanov Hasanoğlu, Alemdar; Romanov, Vladimir G. Introduction to inverse problems for differential equations. (English) Zbl 1385.65053 Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017). Reviewer: Robert Plato (Siegen) MSC: 65M32 65R20 35-02 34A55 35R30 44A12 47A52 47J06 47J25 65N21 78A46 80A23 35Q61 65-02 65J22 65J20 PDF BibTeX XML Cite \textit{A. Hasanov Hasanoğlu} and \textit{V. G. Romanov}, Introduction to inverse problems for differential equations. Cham: Springer (2017; Zbl 1385.65053) Full Text: DOI OpenURL
Klibanov, Michael V.; Romanov, Vladimir G. Two reconstruction procedures for a 3D phaseless inverse scattering problem for the generalized Helmholtz equation. (English) Zbl 1332.35394 Inverse Probl. 32, No. 1, Article ID 015005, 16 p. (2016). MSC: 35R30 35P25 35J05 78A46 PDF BibTeX XML Cite \textit{M. V. Klibanov} and \textit{V. G. Romanov}, Inverse Probl. 32, No. 1, Article ID 015005, 16 p. (2016; Zbl 1332.35394) Full Text: DOI arXiv OpenURL
Klibanov, Michael V.; Romanov, Vladimir G. Reconstruction procedures for two inverse scattering problems without the phase information. (English) Zbl 1331.35388 SIAM J. Appl. Math. 76, No. 1, 178-196 (2016). MSC: 35R30 78A46 PDF BibTeX XML Cite \textit{M. V. Klibanov} and \textit{V. G. Romanov}, SIAM J. Appl. Math. 76, No. 1, 178--196 (2016; Zbl 1331.35388) Full Text: DOI arXiv OpenURL
Klibanov, Michael V.; Romanov, Vladimir G. Explicit formula for the solution of the phaseless inverse scattering problem of imaging of nano structures. (English) Zbl 1328.35314 J. Inverse Ill-Posed Probl. 23, No. 2, 187-193 (2015). MSC: 35R30 78A46 PDF BibTeX XML Cite \textit{M. V. Klibanov} and \textit{V. G. Romanov}, J. Inverse Ill-Posed Probl. 23, No. 2, 187--193 (2015; Zbl 1328.35314) Full Text: DOI OpenURL
Nazarov, A. L.; Romanov, V. G. A uniqueness theorem in the inverse problem for the integrodifferential electrodynamics equations. (Russian, English) Zbl 1324.35209 Sib. Zh. Ind. Mat. 15, No. 3, 77-86 (2012); translation in J. Appl. Ind. Math. 6, No. 4, 460-468 (2012). MSC: 35R30 78A25 PDF BibTeX XML Cite \textit{A. L. Nazarov} and \textit{V. G. Romanov}, Sib. Zh. Ind. Mat. 15, No. 3, 77--86 (2012; Zbl 1324.35209); translation in J. Appl. Ind. Math. 6, No. 4, 460--468 (2012) Full Text: DOI OpenURL
Alekseev, G. V.; Brizitskii, R. V.; Romanov, V. G. Stability estimates for solutions of boundary control problems for Maxwell’s equations with mixed boundary conditions. (English. Russian summary) Zbl 1457.35076 Dokl. Math. 86, No. 3, 733-737 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 1, 7-12 (2012). MSC: 35Q61 35M12 35B35 35A02 78A30 93B30 PDF BibTeX XML Cite \textit{G. V. Alekseev} et al., Dokl. Math. 86, No. 3, 733--737 (2012; Zbl 1457.35076); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 1, 7--12 (2012) Full Text: DOI OpenURL
Romanov, V. G. The problem of determining the kernel of electrodynamics equations for dispersion media. (English. Russian original) Zbl 1237.78004 Dokl. Math. 84, No. 2, 613-616 (2011); translation from Dokl. Akad. Nauk 440, No. 1, 21-24 (2011). Reviewer: Vladimir Mityushev (Kraków) MSC: 78A25 45K05 PDF BibTeX XML Cite \textit{V. G. Romanov}, Dokl. Math. 84, No. 2, 613--616 (2011; Zbl 1237.78004); translation from Dokl. Akad. Nauk 440, No. 1, 21--24 (2011) Full Text: DOI OpenURL
Romanov, V. G. A stability estimate for a solution to an inverse problem of electrodynamics. (English. Russian original) Zbl 1230.78007 Sib. Math. J. 52, No. 4, 682-695 (2011); translation from Sib. Mat. Zh. 52, No. 4, 861-875 (2011). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A40 45Q05 45K05 PDF BibTeX XML Cite \textit{V. G. Romanov}, Sib. Math. J. 52, No. 4, 682--695 (2011; Zbl 1230.78007); translation from Sib. Mat. Zh. 52, No. 4, 861--875 (2011) Full Text: DOI OpenURL
Romanov, V. G. Stability estimates of solutions to ill-posed Cauchy problem for electrodynamics and elasticity equations. (Russian. English summary) Zbl 1299.35198 Sib. Èlektron. Mat. Izv. 5, 531-542 (2008). MSC: 35L20 35R30 35Q60 35Q74 78A25 PDF BibTeX XML Cite \textit{V. G. Romanov}, Sib. Èlektron. Mat. Izv. 5, 531--542 (2008; Zbl 1299.35198) Full Text: Link OpenURL
Romanov, V. G. A stability estimate for the solution to the problem for the electrodynamic equations with data on a timelike surface. (English. Russian original) Zbl 1205.35302 Dokl. Math. 74, No. 3, 795-798 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 1, 16-19 (2006). MSC: 35Q60 35B35 78A25 35B45 PDF BibTeX XML Cite \textit{V. G. Romanov}, Dokl. Math. 74, No. 3, 795--798 (2006; Zbl 1205.35302); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 1, 16--19 (2006) Full Text: DOI OpenURL
Romanov, V. G. A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations. (Russian, English) Zbl 1106.35139 Sib. Mat. Zh. 45, No. 6, 1347-1364 (2004); translation in Sib. Math. J. 45, No. 6, 1098-1112 (2004). MSC: 35R30 35Q60 35B35 78A25 PDF BibTeX XML Cite \textit{V. G. Romanov}, Sib. Mat. Zh. 45, No. 6, 1347--1364 (2004; Zbl 1106.35139); translation in Sib. Math. J. 45, No. 6, 1098--1112 (2004) Full Text: EuDML EMIS OpenURL
Romanov, V. G. A stability estimate for a solution of the problem of determining the dielectric permittivity. (Russian, English) Zbl 1050.35147 Sib. Mat. Zh. 45, No. 4, 881-891 (2004); translation in Sib. Math. J. 45, No. 4, 730-739 (2004). Reviewer: V. Grebenev (Novosibirsk) MSC: 35R30 78A25 35L20 PDF BibTeX XML Cite \textit{V. G. Romanov}, Sib. Mat. Zh. 45, No. 4, 881--891 (2004; Zbl 1050.35147); translation in Sib. Math. J. 45, No. 4, 730--739 (2004) Full Text: EuDML EMIS OpenURL
Romanov, V. G. Stability of the solution to a two-dimensional inverse problem of electrodynamics. (English. Russian original) Zbl 1129.35486 Dokl. Math. 68, No. 1, 65-70 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 3, 314-319 (2003). MSC: 35R30 35L15 78A25 35Q60 PDF BibTeX XML Cite \textit{V. G. Romanov}, Dokl. Math. 68, No. 1, 65--70 (2003; Zbl 1129.35486); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 3, 314--319 (2003) OpenURL
Romanov, V. G. Stability of the determination of the electrical conductivity in electrodynamic equations. (English. Russian original) Zbl 1247.35204 Dokl. Math. 67, No. 2, 167-171 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 389, No. 1, 27-31 (2003). MSC: 35R30 35Q60 78A46 PDF BibTeX XML Cite \textit{V. G. Romanov}, Dokl. Math. 67, No. 2, 167--171 (2003; Zbl 1247.35204); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 389, No. 1, 27--31 (2003) OpenURL
Romanov, V. G. A stability estimate for a solution to a two-dimensional inverse problem of electrodynamics. (Russian, English) Zbl 1045.35104 Sib. Mat. Zh. 44, No. 4, 837-850 (2003); translation in Sib. Math. J. 44, No. 4, 659-670 (2003). MSC: 35R30 35Q60 78A25 PDF BibTeX XML Cite \textit{V. G. Romanov}, Sib. Mat. Zh. 44, No. 4, 837--850 (2003; Zbl 1045.35104); translation in Sib. Math. J. 44, No. 4, 659--670 (2003) Full Text: EuDML EMIS OpenURL
Romanov, V. G. An estimate of stability of a solution to an inverse problem for the system of Maxwell equations. (Russian) Zbl 1015.35090 Kozhanov, A. I. (ed.), Nonclassical equations of mathematical physics. Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 196-205 (2002). Reviewer: V.Grebenev (Novosibirsk) MSC: 35R30 35Q60 35B35 78A25 PDF BibTeX XML Cite \textit{V. G. Romanov}, in: Neklassicheskie uravneniya matematicheskoĭ fiziki. Novosibirsk: Izdatel'stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 196--205 (2002; Zbl 1015.35090) OpenURL
He, Sailing; Romanov, Vladimir G. Identification of dipole sources in a bounded domain for Maxwell’s equations. (English) Zbl 1074.78506 Wave Motion 28, No. 1, 25-40 (1998). MSC: 78A25 31B20 35J05 35Q60 35R30 PDF BibTeX XML Cite \textit{S. He} and \textit{V. G. Romanov}, Wave Motion 28, No. 1, 25--40 (1998; Zbl 1074.78506) Full Text: DOI OpenURL
Romanov, V. G.; He, S. An analysis of the time-domain electromagnetic inverse problem of determining the susceptibility kernel for a stratified dispersive slab. (English) Zbl 0866.35138 J. Inverse Ill-Posed Probl. 3(1995), No. 6, 469-494 (1996). Reviewer: A.Lorenzi (Milano) MSC: 35R30 45K05 35Q60 78A25 PDF BibTeX XML Cite \textit{V. G. Romanov} and \textit{S. He}, J. Inverse Ill-Posed Probl. 3(1995), No. 6, 469--494 (1996; Zbl 0866.35138) Full Text: DOI OpenURL
Romanov, V. G. On an inverse problem for a coupled system of equations of electrodynamics and elasticity. (English) Zbl 0843.35136 J. Inverse Ill-Posed Probl. 3, No. 4, 321-332 (1995). MSC: 35R30 35Q60 35Q72 78A40 74J25 PDF BibTeX XML Cite \textit{V. G. Romanov}, J. Inverse Ill-Posed Probl. 3, No. 4, 321--332 (1995; Zbl 0843.35136) Full Text: DOI OpenURL
Romanov, V. G.; Kabanikhin, S. I. Inverse problems for Maxwell’s equations. (English) Zbl 0853.35001 Inverse and Ill-posed Problems Series. Utrecht: VSP. iii, 249 p. (1994). Reviewer: G.Anger (Berlin) MSC: 35-02 65-02 35Q60 35R30 86A22 78A25 65Z05 65K10 PDF BibTeX XML Cite \textit{V. G. Romanov} and \textit{S. I. Kabanikhin}, Inverse problems for Maxwell's equations. Utrecht: VSP (1994; Zbl 0853.35001) OpenURL
He, Sailing; Romanov, Vladimir G.; Ström, Staffan Analysis of the Green’s function approach to one-dimensional inverse problems. II: Simultaneous reconstruction of two parameters. (English) Zbl 0809.35156 J. Math. Phys. 35, No. 5, 2315-2335 (1994). MSC: 35R30 35P25 78A45 PDF BibTeX XML Cite \textit{S. He} et al., J. Math. Phys. 35, No. 5, 2315--2335 (1994; Zbl 0809.35156) Full Text: DOI OpenURL
He, Sailing; Kabanikhin, Sergej I.; Romanov, Vladimir G.; Ström, Staffan Analysis of the Green’s function approach to one-dimensional inverse problems. I: One parameter reconstruction. (English) Zbl 0785.35110 J. Math. Phys. 34, No. 12, 5724-5746 (1993). MSC: 35R30 78A40 78A45 35Q60 PDF BibTeX XML Cite \textit{S. He} et al., J. Math. Phys. 34, No. 12, 5724--5746 (1993; Zbl 0785.35110) Full Text: DOI OpenURL
Romanov, V. G.; Pukhnacheva, T. P. Determination of the coefficients of the system of equations of electrodynamics in a class of functions analytic in some of the variables. (English. Russian original) Zbl 0728.35149 Sov. Math., Dokl. 41, No. 3, 417-420 (1990); translation from Dokl. Akad. Nauk SSSR 312, No. 1, 38-42 (1990). Reviewer: G.Anger (Berlin) MSC: 35R30 35Q60 78A40 PDF BibTeX XML Cite \textit{V. G. Romanov} and \textit{T. P. Pukhnacheva}, Sov. Math., Dokl. 41, No. 3, 417--420 (1990; Zbl 0728.35149); translation from Dokl. Akad. Nauk SSSR 312, No. 1, 38--42 (1990) OpenURL
Romanov, V. G.; Pukhnachëva, T. P. A stability theorem for the solution of the problem of determining the coefficients in the system of Maxwell equations. (Russian) Zbl 0814.65124 Lavrent’ev, M. M. (ed.), Conditionally well-posed problems. Collection of scientific works. Novosibirsk: Institut Matematiki AN SSSR, 64-86 (1988). MSC: 65Z05 65M12 78A25 35Q60 35R30 PDF BibTeX XML Cite \textit{V. G. Romanov} and \textit{T. P. Pukhnachëva}, in: Uslovno korrektnye zadachi. Sbornik nauchnykh trudov. Novosibirsk: Institut Matematiki AN SSSR. 64--86 (1988; Zbl 0814.65124) OpenURL
Romanov, V. G.; Pukhnacheva, T. P. On unique solvability for the problem of determination of conductivity of an inhomogeneous medium. (Russian) Zbl 0714.35083 Mathematical analysis and differential equations, Interuniv. Collect. Sci. Works, Novosibirsk, 111-121 (1987). Reviewer: E.V.Nicolau MSC: 35R30 35Q60 78A25 PDF BibTeX XML OpenURL
Romanov, V. G. Structure of a fundamental solution of a Cauchy problem for Maxwell’s equations. (English. Russian original) Zbl 0629.35074 Differ. Equations 22, 1101-1109 (1986); translation from Differ. Uravn. 22, No. 9, 1577-1587 (1986). Reviewer: E.Malec MSC: 35L15 78A25 35C05 PDF BibTeX XML Cite \textit{V. G. Romanov}, Differ. Equations 22, 1101--1109 (1986; Zbl 0629.35074); translation from Differ. Uravn. 22, No. 9, 1577--1587 (1986) OpenURL
Romanov, V. G. On the structure of a fundamental solution of the Cauchy problem for the system of Maxwell’s equations. (English. Russian original) Zbl 0602.35097 Sov. Math., Dokl. 31, 385-388 (1985); translation from Dokl. Akad. Nauk SSSR 281, 1052-1055 (1985). Reviewer: G.Tu MSC: 35Q99 78A25 35A08 35D05 PDF BibTeX XML Cite \textit{V. G. Romanov}, Sov. Math., Dokl. 31, 385--388 (1985; Zbl 0602.35097); translation from Dokl. Akad. Nauk SSSR 281, 1052--1055 (1985) OpenURL
Romanov, V. G.; Bidajbekov, E. Y. On the theory of inverse problems of magnetotelluric sounding. (English. Russian original) Zbl 0594.73033 Sov. Math., Dokl. 31, 170-173 (1985); translation from Dokl. Akad. Nauk SSSR 280, 807-810 (1985). Reviewer: H.Demiray MSC: 74J25 74F15 78A25 35R30 78A40 86A25 PDF BibTeX XML Cite \textit{V. G. Romanov} and \textit{E. Y. Bidajbekov}, Sov. Math., Dokl. 31, 170--173 (1985; Zbl 0594.73033); translation from Dokl. Akad. Nauk SSSR 280, 807--810 (1985) OpenURL
Romanov, V. G.; Kabanikhin, S. I.; Pukhnacheva, T. P. Inverse problems of electrodynamics. (Obratnye zadachi ehlektrodinamiki). (Russian) Zbl 0595.35103 Novosibirsk: Vychislitel’nyj Tsentr SO AN SSSR. 202 p. R. 1.00 (1984). Reviewer: J.Kostarčuk MSC: 35R30 35-02 78-02 35A35 65M99 65N99 78A45 PDF BibTeX XML OpenURL
Romanov, V. G. Inverse problems of the propagation of seismic and electromagnetic waves. (Russian) Zbl 0621.76091 Methods for the solution of incorrect problems and their applications, Proc. All-Union Sch.-Semin., Noorus 1982, 111-118 (1982). MSC: 76Q05 78A40 86A15 74L05 PDF BibTeX XML OpenURL
Romanov, V. G.; Kabanikhin, S. I.; Pukhnacheva, T. P. On the theory of inverse problems of electrodynamics. (English. Russian original) Zbl 0516.35078 Sov. Math., Dokl. 26, 476-479 (1982); translation from Dokl. Akad. Nauk SSSR 266, 1070-1073 (1982). MSC: 35R30 35G05 78A25 PDF BibTeX XML Cite \textit{V. G. Romanov} et al., Sov. Math., Dokl. 26, 476--479 (1982; Zbl 0516.35078); translation from Dokl. Akad. Nauk SSSR 266, 1070--1073 (1982) OpenURL