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Funktsional. Anal. i Prilozhen., 1988, Volume 22, Issue 4, Pages 11–22 (Mi faa1148)  

This article is cited in 18 scientific papers (total in 18 papers)

Multidimensional inverse spectral problem for the equation $-\Delta\psi+(v(x)-Eu(x))\psi=0$

R. G. Novikov


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English version:
Functional Analysis and Its Applications, 1988, 22:4, 263–272

Bibliographic databases:

UDC: 517.9
Received: 10.06.1987

Citation: R. G. Novikov, “Multidimensional inverse spectral problem for the equation $-\Delta\psi+(v(x)-Eu(x))\psi=0$”, Funktsional. Anal. i Prilozhen., 22:4 (1988), 11–22; Funct. Anal. Appl., 22:4 (1988), 263–272

Citation in format AMSBIB
\Bibitem{Nov88}
\by R.~G.~Novikov
\paper Multidimensional inverse spectral problem for the equation $-\Delta\psi+(v(x)-Eu(x))\psi=0$
\jour Funktsional. Anal. i Prilozhen.
\yr 1988
\vol 22
\issue 4
\pages 11--22
\mathnet{http://mi.mathnet.ru/faa1148}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=976992}
\zmath{https://zbmath.org/?q=an:0689.35098}
\transl
\jour Funct. Anal. Appl.
\yr 1988
\vol 22
\issue 4
\pages 263--272
\crossref{https://doi.org/10.1007/BF01077418}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1988AJ09200002}


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    1. G. G. Ilyuta, “On $q$-monodromy groups of singularities”, Izv. Math., 60:1 (1996), 119–136  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. Paivarinta L., Serov V., “An n-dimensional Borg-Levinson theorem for singular potentials”, Adv in Appl Math, 29:4 (2002), 509–520  crossref  isi
    3. Burov V.A., Alekseenko N.V., Rumyantseva O.D., “Mnogochastotnoe obobschenie algoritma novikova dlya resheniya obratnoi dvumernoi zadachi rasseyaniya”, Akusticheskii zhurnal, 55:6 (2009), 784–798
    4. Liu Xiaodong, Zhang Bo, “Inverse Scattering by an Inhomogeneous Penetrable Obstacle in a Piecewise Homogeneous Medium”, Acta Math. Sci., 32:4 (2012), 1281–1297  isi
    5. Burov V.A., Shurup A.S., Rumyantseva O.D., Zotov D.I., “Funktsionalno-analiticheskoe reshenie zadachi akusticheskoi tomografii po dannym ot tochechnykh preobrazovatelei”, Izvestiya rossiiskoi akademii nauk. seriya fizicheskaya, 76:12 (2012), 1524–1524  elib
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    7. A. V. Kazeykina, “Absence of Conductivity-Type Solitons for the Novikov–Veselov Equation at Zero Energy”, Funct. Anal. Appl., 47:1 (2013), 64–66  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    8. M. I. Isaev, R. G. Novikov, “Stability estimates for recovering the potential by the impedance boundary map”, St. Petersburg Math. J., 25:1 (2014), 23–41  mathnet  crossref  mathscinet  zmath  isi  elib
    9. M. I. Isaev, “Exponential Instability in the Inverse Scattering Problem on the Energy Interval”, Funct. Anal. Appl., 47:3 (2013), 187–194  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    10. Qin Yu., Liu L., “Integral Equation Method For Acoustic Scattering By An Inhomogeneous Penetrable Obstacle in a Stratified Medium”, Appl. Anal., 93:11, SI (2014), 2402–2412  crossref  isi
    11. Isaev M.I. Novikov R.G., “Effectivized Holder-Logarithmic Stability Estimates For the Gel'Fand Inverse Problem”, Inverse Probl., 30:9 (2014), 095006  crossref  isi
    12. R. G. Novikov, “An iterative approach to non-overdetermined inverse scattering at fixed energy”, Sb. Math., 206:1 (2015), 120–134  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. Hohage T., Weidling F., “Verification of a Variational Source Condition For Acoustic Inverse Medium Scattering Problems”, Inverse Probl., 31:7 (2015), 075006  crossref  isi
    14. V. P. Palamodov, “New approaches to inverse scattering”, Russian Math. Surveys, 71:3 (2016), 513–537  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    15. Novikov R.G., “Explicit Formulas and Global Uniqueness for Phaseless Inverse Scattering in Multidimensions”, J. Geom. Anal., 26:1 (2016), 346–359  crossref  mathscinet  zmath  isi  elib  scopus
    16. “Inverse Scattering Theory”: Cakoni, F Colton, DL Haddar, H, Inverse Scattering Theory and Transmission Eigenvalues, Cbms-Nsf Regional Conference Series in Applied Mathematics, SIAM, 2016, 1+  isi
    17. E. L. Lakshtanov, B. R. Vainberg, “A test for the existence of exceptional points in the Faddeev scattering problem”, Theoret. and Math. Phys., 190:1 (2017), 77–90  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    18. Agaltsov A.D. Hohage T. Novikov R.G., “An Iterative Approach to Monochromatic Phaseless Inverse Scattering”, Inverse Probl., 35:2 (2019), 024001  crossref  mathscinet  zmath  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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