76 citations · 458 across the 35 of their papers we have counts for
6 papers · 2 filters
Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
Roman Novikov, Matteo Santacesaria
We study the multi-channel Gel'fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equation , , where is a…
Large time asymptotics for the Grinevich-Zakharov potentials
Anna Kazeykina, Roman Novikov
In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 di…
A large time asymptotics for transparent potentials for the Novikov-Veselov equation at positive energy
Anna Kazeykina, Roman Novikov
In the present paper we begin studies on the large time asymptotic behavior for solutions of the Cauchy problem for the Novikov--Veselov equation (an analog of KdV in 2 + 1 dimensi…
A global stability estimate for the Gel'fand-Calderon inverse problem in two dimensions
Roman Novikov, Matteo Santacesaria
We prove a global logarithmic stability estimate for the Gel'fand-Calderon inverse problem on a two-dimensional domain.
On the reconstruction of conductivity of bordered two-dimensional surface in R^3 from electrical currents measurements on its boundary
Gennadi Henkin, Roman Novikov
An electrical potential U on bordered surface X (in Euclidien three-dimensional space) with isotropic conductivity function sigma>0 satisfies equation d(sigma d^cU)=0, where d^c is…
New global stability estimates for the Gel'fand-Calderon inverse problem
Roman Novikov
We prove new global stability estimates for the Gel'fand-Calderon inverse problem in 3D. For sufficiently regular potentials this result of the present work is a principal improvem…