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math.AP2026
A two-point phase recovering with spherical wave reference
R. G. Novikov, V. N. Sivkin
We consider a reference wave, a radiation solution, and the sum of these solutions (total solution) for the Helmholtz equation in an exterior region. We give two-point formulas for…
math.AP2025
Inverse scattering for the multipoint potentials of Bethe-Peierls-Thomas-Fermi type
Pei-Cheng Kuo, Roman G. Novikov
We consider the Schrödinger equation with a multipoint potential of the Bethe-Peierls-Thomas-Fermi type. We show that such a potential in dimension d=2 or d=3 is uniquely determine…
math.AP2024
Inverse source problem for discrete Helmholtz equation
Roman Novikov, Basant Lal Sharma
We consider multi-frequency inverse source problem for the discrete Helmholtz operator on the square lattice , . We consider this problem for the cases with…