Inverse problem for an equation of parabolic-hyperbolic type with a nonlocal boundary condition

Аннотация

For an equation of the parabolic-hyperbolic type, we consider an inverse problem with a nonlocal condition relating solution derivatives that belong to different types of the equation in question. We justify a uniqueness criterion and prove the existence of a solution of the problem by the spectral analysis method. We prove the stability of the solution with respect to the nonlocal boundary condition.

Идентификаторы

DOI

10.1134/s0012266112020085

Цитирования и источники