Inverse problem for a pseudoparabolic equation with integral overdetermination conditions

Abstract

We consider inverse problems of finding an unknown coefficient in the leading term of a linear pseudoparabolic equation of filtration type on the basis of integral data over the entire boundary or its part under the assumption that the unknown coefficient depends on time. We derive conditions for the time-global solvability and uniqueness of the solution of the inverse problem.

Identifiers

DOI

10.1134/s0012266114040089

Citations and references