I. A. Taimanov, S. P. Tsarev, “Two-dimensional Schrödinger operators with fast decaying potential and multidimensional $L_2$-kernel”, Russian Math. Surveys, 62:3 (2007), 631

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Russian Mathematical Surveys, 2007, Volume 62, Issue 3, Pages 631–633
DOI: https://doi.org/10.1070/RM2007v062n03ABEH004423 (Mi rm6817)

This article is cited in 17 scientific papers (total in 17 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

Two-dimensional Schrödinger operators with fast decaying potential and multidimensional

L_{2}

$L_2$ -kernel

I. A. Taimanov^a, S. P. Tsarev^bc

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Krasnoyarsk State Pedagogical University named after V. P. Astaf'ev
^c Institut für Mathematik, Technische Universität Berlin

English version PDF (255 kB) Citations (17) Russian version article

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DOI: https://doi.org/10.1070/RM2007v062n03ABEH004423

Presented: S. P. Novikov
Accepted: 20.04.2007

Bibliographic databases:

Document Type: Article

MSC: Primary 35P; Secondary 35J10, 37K15, 35Q51

Language: English

Original paper language: Russian

Citation: I. A. Taimanov, S. P. Tsarev, “Two-dimensional Schrödinger operators with fast decaying potential and multidimensional

L_{2}

$L_2$ -kernel”, Russian Math. Surveys, 62:3 (2007), 631–633

Citation in format AMSBIB

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\vol 62

\issue 3

\pages 631--633

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Linking options:

https://www.mathnet.ru/eng/rm6817

https://doi.org/10.1070/RM2007v062n03ABEH004423

https://www.mathnet.ru/eng/rm/v62/i3/p217

This publication is cited in the following 17 articles:

M. M. Malamud, V. V. Marchenko, “On Kernels of Invariant Schrödinger Operators with Point Interactions. Grinevich–Novikov Conjecture”, Dokl. Math., 109:2 (2024), 125
M. M. Malamud, V. V. Marchenko, “On kernels of invariant Schrödinger operators with point interactions. Grinevich–Novikov problem”, Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, 516 (2024), 31
I. A. Taimanov, “The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning”, Math. Notes, 110:5 (2021), 754–766
R. G. Novikov, I. A. Taimanov, “Darboux–Moutard transformations and Poincaré–Steklov operators”, Proc. Steklov Inst. Math., 302 (2018), 315–324
Adilkhanov A.N., Taimanov I.A., “On numerical study of the discrete spectrum of a two-dimensional Schrödinger operator with soliton potential”, Commun. Nonlinear Sci. Numer. Simul., 42 (2017), 83–92
P. G. Grinevich, R. G. Novikov, “Multipoint scatterers with bound states at zero energy”, Theoret. and Math. Phys., 193:2 (2017), 1675–1679
Croke R. Mueller J.L. Music M. Perry P. Siltanen S. Stahel A., “the Novikov-Veselov Equation: Theory and Computation”, Nonlinear Wave Equations: Analytic and Computational Techniques, Contemporary Mathematics, 635, ed. Curtis C. Dzhamay A. Hereman W. Prinari B., Amer Mathematical Soc, 2015, 25–70
R. G. Novikov, I. A. Taimanov, S. P. Tsarev, “Two-Dimensional von Neumann–Wigner Potentials with a Multiple Positive Eigenvalue”, Funct. Anal. Appl., 48:4 (2014), 295–297
Perry P.A., “Miura Maps and Inverse Scattering For the Novikov-Veselov Equation”, Anal. PDE, 7:2 (2014), 311–343
M Music, P Perry, S Siltanen, “Exceptional circles of radial potentials”, Inverse Problems, 29:4 (2013), 045004
Yu. V. Shanko, “Obobschennye funktsionalno-invariantnye resheniya dvumernogo neodnorodnogo volnovogo uravneniya”, Sib. zhurn. industr. matem., 16:1 (2013), 126–137
A.G. Kudryavtsev, “Exactly solvable two-dimensional stationary Schrödinger operators obtained by the nonlocal Darboux transformation”, Physics Letters A, 2013
E. I. Ganzha, “Euler Integrals and Multi-Integrals of Linear Partial Differential Equations”, Math. Notes, 89:1 (2011), 37–50
I. A. Taimanov, S. P. Tsarev, “On the Moutard transformation and its applications to spectral theory and soliton equations”, Journal of Mathematical Sciences, 170:3 (2010), 371–387
S. P. Tsarev, E. S. Shemyakova, “Differential Transformations of Parabolic Second-Order Operators in the Plane”, Proc. Steklov Inst. Math., 266 (2009), 219–227
I. A. Taimanov, S. P. Tsarev, “Blowing up solutions of the Novikov-Veselov equation”, Dokl. Math., 77:3 (2008), 467–468
I. A. Taimanov, S. P. Tsarev, “Two-dimensional rational solitons and their blowup via the Moutard transformation”, Theoret. and Math. Phys., 157:2 (2008), 1525–1541

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	837
Russian version PDF:	330
English version PDF:	27
References:	85
First page:	9

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