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math.AP2026
The continuity properties of the solutions of the wave equation at different boundary conditions across the characteristic line
Alemdar Hasanov, Vladimir G. Romanov
It is well-known the continuity properties of solutions to the wave equation depend strongly on both the initial data and the boundary conditions, particularly across the character…
math.AP2022
A Hölder Stability Estimate for a 3D Coefficient Inverse Problem for a Hyperbolic Equation With a Plane Wave
Michael V. Klibanov, Vladimir G. Romanov
A 3D coefficient inverse problem for a hyperbolic equation with non-overdetermined data is considered. The forward problem is the Cauchy problems with the initial condition the del…
math.AP2018★ 4 cited
Phaseless inverse problems with interference waves
V. G. Romanov, M. Yamamoto
We consider two phaseless inverse problems for elliptic equation. The statements of these problems differ from have considered. Namely, instead of given information about modulus o…