Valery Serov

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Person:667781

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zbMath Open serov.valery-sMaRDI QIDQ667781

List of research outcomes

PublicationDate of PublicationType
Green's function estimates for elliptic differential operators with singular coefficients and absolute convergence of Fourier series2024-03-19Paper
Non-existence of certain elliptic solutions of the Cubic-nonlinear Schr\"odinger Equation2023-01-26Paper
Reconstruction of singularities in two-dimensional quasi-linear biharmonic operator2022-09-14Paper
Inverse scattering for three-dimensional quasi-linear biharmonic operator2022-06-03Paper
Convergence of spectral expansions related to elliptic operators with singular coefficients2022-05-05Paper
Comment on "Doubly periodic solutions of the focusing nonlinear Schr\"odinger equation: Recurrence, period doubling, and amplification outside the conventional modulation-instability band"2022-04-12Paper
Degenerate elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation2021-10-19Paper
Two-dimensional inverse scattering for quasi-linear biharmonic operator2021-09-10Paper
Born approximation for the magnetic Schrödinger operator2021-05-17Paper
Some Inverse Scattering Problems for Perturbations of the Biharmonic Operator2021-02-24Paper
Inverse scattering problem for quasi-linear perturbation of the biharmonic operator on the line2019-03-01Paper
Scattering problems for perturbations of the multidimensional biharmonic operator2018-09-14Paper
https://portal.mardi4nfdi.de/entity/Q45811702018-08-23Paper
Fourier series, Fourier transform and their applications to mathematical physics2017-08-25Paper
Recovery of singularities in a fourth-order operator on the line from limited data2016-08-12Paper
Inverse fixed energy scattering problem for the two-dimensional nonlinear Schrödinger operator2016-07-08Paper
Borg–Levinson theorem for perturbations of the bi-harmonic operator2016-05-13Paper
TM-waves guided by a nonlinear film with complex permittivity2015-08-26Paper
Three-dimensional Direct and Inverse Scattering for the Schrödinger Equation with a General Nonlinearity2015-07-02Paper
On the theory of TE waves guided by a lossy three-layer structure with general nonlinear permittivity2015-05-12Paper
Inverse backscattering Born approximation for the magnetic Schrödinger equation in three dimensions2014-01-21Paper
Direct and inverse scattering for nonlinear Schrödinger equation in 2D2014-01-14Paper
Inverse backscattering Born approximation for a two-dimensional magnetic Schrödinger operator2013-11-11Paper
Inverse fixed angle scattering and backscattering for a nonlinear Schrödinger equation in 2D2013-06-05Paper
Transmission eigenvalues for non-regular cases2013-03-20Paper
Transmission eigenvalues for degenerate and singular cases2012-07-11Paper
Inverse fixed energy scattering problem for the generalized nonlinear Schrödinger operator2012-03-19Paper
Application of the Banach fixed-point theorem to the scattering problem at a nonlinear three-layer structure with absorption2010-09-28Paper
Inverse backscattering problem for the generalized nonlinear Schrödinger operator in two dimensions2010-08-27Paper
Green's function and convergence of Fourier series for elliptic differential operators with potential from Kato space2010-04-08Paper
A domain description and Green's function estimates up to the boundary for elliptic operator with singular potential2010-03-10Paper
An inverse Born approximation for the general nonlinear Schrödinger operator on the line2009-12-01Paper
The fundamental solution and Fourier series in eigenfunctions of the magnetic Schrödinger operator2009-07-15Paper
INVERSE BORN APPROXIMATION FOR THE GENERALIZED NONLINEAR SCHRÖDINGER OPERATOR IN TWO DIMENSIONS2009-03-02Paper
Inverse fixed angle scattering and backscattering problems in two dimensions2008-12-22Paper
Partial recovery of potentials in generalized nonlinear Schrödinger equations on the line2008-12-08Paper
Recovery of jumps and singularities in the multidimensional Schrödinger operator from limited data2008-01-17Paper
Inverse Born approximation for the nonlinear two-dimensional Schrödinger operator2007-07-02Paper
Reconstruction of discontinuities in the nonlinear one-dimensional Schrödinger equation from limited data2007-05-07Paper
Fundamental solution and Fourier series in eigenfunctions of degenerate elliptic operator2007-02-26Paper
Inverse scattering problem for two-dimensional Schrödinger operator2007-02-15Paper
Recovery of the singularities of a potential in the two-dimensional Schrödinger operator from fixed-angle scattering data2007-01-12Paper
Recovery of jumps and singularities of an unknown potential from limited data in dimension 12006-05-03Paper
New estimates of the Green–Faddeev function and recovering of singularities in the two-dimensional Schrödinger operator with fixed energy2005-10-18Paper
Traveling wave solutions of a generalized modified Kadomtsev–Petviashvili equation2004-12-15Paper
Reconstruction of singularities in two dimensional Schrödinger operator with fixed energy2004-11-05Paper
Solutions to the Helmholtz equation for TE-guided waves in a three-layer structure with Kerr-type nonlinearity2004-06-10Paper
Integral equation approach to reflection and transmission of a plane TE-wave at a (linear/nonlinear) dielectric film with spatially varying permittivity2004-06-09Paper
Propagation of TE-waves in a layer, located between two semi-infinite nonlinear media, with dielectric permittivity depending on the transverse coordinate.2004-03-17Paper
An \(n\)-dimensional Borg--Levinson theorem for singular potentials2003-04-02Paper
New mapping properties for the resolvent of the Laplacian and recovery of singularities of a multi-dimensional scattering potential2002-04-11Paper
RECOVERING SINGULARITIES FROM BACKSCATTERING IN TWO DIMENSIONS2002-02-13Paper
Some inverse problems for Schrödinger operator with Kato potential2002-01-01Paper
Reflection and transmission of a plane TE-wave at a lossless nonlinear dielectric film2001-10-04Paper
The convergence of Fourier series in eigenfunctions of the Schrödinger operator with Kato potential2001-08-28Paper
The Newton's formula for a Schrödinger operator with a Kato potential2001-01-28Paper
The spectrum of the Schrödinger operator with a Kato potential2000-01-01Paper
https://portal.mardi4nfdi.de/entity/Q42443201999-05-26Paper
https://portal.mardi4nfdi.de/entity/Q42351591999-05-03Paper
About the reconstruction of variable coefficients in a multidimensional wave equation1999-03-23Paper
Recovery of Singularities of a Multidimensional Scattering Potential1998-05-11Paper
On spectral expansions of functions from \(H_ p^ \alpha\) for a differential operator with a singularity at the surface1998-01-18Paper
Existence of eigenwaves and solitary waves in lossy linear and lossless nonlinear layered waveguides1998-01-05Paper
https://portal.mardi4nfdi.de/entity/Q43501871997-09-01Paper
https://portal.mardi4nfdi.de/entity/Q31281201997-05-28Paper
https://portal.mardi4nfdi.de/entity/Q48512521995-11-02Paper
https://portal.mardi4nfdi.de/entity/Q48463151995-09-10Paper
Reconstruction of singularities of a scattering potential in two dimensions1995-04-24Paper
Inverse eigenvalue problems for a singular Sturm-Liouville operator on (0,1)1995-02-16Paper
https://portal.mardi4nfdi.de/entity/Q42793571994-11-24Paper
https://portal.mardi4nfdi.de/entity/Q42980231994-08-16Paper
On estimates of the resolvent of the Laplace operator over entire space1994-07-21Paper
https://portal.mardi4nfdi.de/entity/Q40265661993-02-21Paper
https://portal.mardi4nfdi.de/entity/Q40014941993-01-23Paper
https://portal.mardi4nfdi.de/entity/Q40054991992-09-27Paper
https://portal.mardi4nfdi.de/entity/Q40065061992-09-26Paper
https://portal.mardi4nfdi.de/entity/Q39852181992-06-27Paper
https://portal.mardi4nfdi.de/entity/Q39704591992-06-25Paper
https://portal.mardi4nfdi.de/entity/Q33624111992-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32034381990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q34879001990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q34758011989-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37854391987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37915441987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37419741986-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37395251985-01-01Paper
Absolute divergence of series in eigenfunctions of the Laplace operator in the class \(C^{N/2}\)1983-01-01Paper
Convergence of spectral resolutions in generalized Besov classes1980-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38664841980-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38910741980-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39559551980-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38526451979-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38665941979-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39059941979-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41868041978-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41529041977-01-01Paper
Absolute convergence of Fourier series in eigenfunctions of an elliptic operator1976-01-01Paper
https://portal.mardi4nfdi.de/entity/Q40976451976-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41390801976-01-01Paper

Research outcomes over time


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