Property C and an inverse problem for a hyperbolic equation. (English) Zbl 0729.35147
Summary: Let (*) in , where is a bounded domain with a smooth boundary , , , q(x,t), . Suppose that for every (**) , the value is known, where N is the outer normal to , u solves (*) and (**) and satisfies the initial conditions at . Then q(x,t) is uniquely determined by the data f,h, in the subset S of consisting of the lines which make 45 with the t-axis and which meet the planes and outside , provided that q(x,t) is known outside S.
|35R30||Inverse problems for PDE|
|35L20||Second order hyperbolic equations, boundary value problems|