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10 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…
Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy
Roman Novikov
In this note we show that the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) has no exponentially localized solitons ( in the two-dimensional sens…
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.
Transient Anomaly Imaging in Visco-Elastic Media Obeying a Frequency Power-Law
Elie Bretin, Lili Guadarrama Bustos, Abdul Wahab
In this work, we consider the problem of reconstructing a small anomaly in a viscoelastic medium from wave-field measurements. We choose Szabo's model to describe the viscoelastic…