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20022011
most citedA regression-based Monte Carlo method to solve backward stochastic differential equations

425 citations

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Showing 2010 · math.APShow all

5 papers · 2 filters

math.AP2010★ 12 cited

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…

math.AP2010★ 9 cited

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…

math.AP2010★ 32 cited

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.

math.AP2010★ 5 cited

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…

math.AP2010★ 25 cited

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…