An inverse problem for the wave equation in a ball
The author considers a boundary value problem for the wave equation \((\partial^ 2_{x_ 1}+\partial^ 2_{x_ 2}+\partial^ 2_{x_ 3}-\partial_ t^ 2)u=0\) in a ball and an inverse problem associated to it. In the paper there are obtained results about the inverse problem. From them there is derived a sufficient condition for the existence of a unique solution of the initial problem.
scientific article; zbMATH DE number 4212615