On uniqueness of determination of a form of first degree by its integrals along geodesics. (English) Zbl 0908.35136
Summary: We prove a uniqueness theorem of a first-order form inside some domain \(D\) by its integrals along geodesics of a fixed Riemannian metric connecting an arbitrary pair of points on the boundary of this domain. As an application, this result is used to study the problem of determining the coefficients at lower derivatives in a second-order hyperbolic equation.
MSC:
35R30 | Inverse problems for PDEs |
35L15 | Initial value problems for second-order hyperbolic equations |