58 citations · 182 across the 32 of their papers we have counts for
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Global solution of the initial value problem for the focusing Davey-Stewartson II system
Evgeny Lakshtanov, Boris Vainberg
We consider the two dimensional focusing Davey-Stewartson II system and construct the global solution of the Cauchy problem for a dense in set of initial data. We…
Uniqueness in the inverse conductivity problem for complex-valued Lipschitz conductivities in the plane
Evgeny Lakshtanov, Jorge Tejero, Boris Vainberg
We consider the impedance tomography problem in the plane. Using Bukhgeim's scattering data for the Dirac problem, we prove that the conductivity is uniquely determined by the Diri…
Recovery of -potential in the plane
Evgeny Lakshtanov, Boris Vainberg
An inverse problem for the two-dimensional Schrodinger equation with -potential, , is considered. Using the -method, the potential is recovered…
On reconstruction of complex-valued once differentiable conductivities
Evgeny Lakshtanov, Boris Vainberg
The classical -method has been generalized recently [lnv], [lnv2] to be used in the presence of exceptional points. We apply this generalization to solve Dirac…
A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy
Evgeny L. Lakshtanov, Roman G. Novikov, Boris R. Vainberg
We develop the Riemann-Hilbert problem approach to inverse scattering for the two-dimensional Schrodinger equation at fixed energy. We obtain global or generic versions of the key…
Uniqueness in potential scattering with reduced near field data
Evgeny Lakshtanov, Boris Vainberg
We consider inverse potential scattering problems where the source of the incident waves is located on a smooth closed surface outside of the inhomogeneity of the media. The scatte…