We consider the inverse problem for the second order self-adjoint hyperbolic equation in a bounded domain in R n with lower order terms depending analytically on the time variable. We prove that,â€¦ (More)

The degassing of liquids and low-melting melts under action of ultrasound was among first effects revealed in the 1930s 1-4. We started own investigations on the mechanism of ultrasonic degassing ofâ€¦ (More)

where Ji = 0 for x0 < 0. The problem is to find necessary and sufficient conditions on B(x, B) such that the initial-boundary value problem (1), (2), (3) is well-posed. Note that all theorems thatâ€¦ (More)

We describe the main results and the ideas of the proofs in the papers [E] and [ER2] (see References). In addition, we simplify the construction of asymptotic solutions in [E], using the results ofâ€¦ (More)

A new approach to hyperbolic inverse problems. Abstract We present a modification of the BC-method in the inverse hyper-bolic problems. The main novelty is the study of the restrictions of theâ€¦ (More)

Theoretical and applied aspects of ultrasonic melt treatment are considered. Industrial applications of the cavitation treatment for degassing, filtration, and grain refinement are illustrated usingâ€¦ (More)

Inverse problems for the SchrÃ¶dinger equations with time-dependent electromagnetic potentials and the Aharonov-Bohm effect. Abstract We consider the inverse boundary value problem for the SchrÃ¶dingerâ€¦ (More)

We consider the inverse prolem of the recovery of a gauge field in R 2 modulo gauge transformations from the non-abelian Radon transform. A global uniqueness theorem is proven for the case when theâ€¦ (More)

We study the inverse boundary value problems for the SchrÃ¶dinger equations with Yang-Mills potentials in a bounded domain â„¦ 0 âŠ‚ R n containing finite number of smooth obstacles â„¦ j , 1 â‰¤ j â‰¤ r. Weâ€¦ (More)

Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach. Abstract We describe the general setting for the optical Aharonov-Bohm effect based on the inverse problem of the identificationâ€¦ (More)