Abstract:
We examine the solvability questions in Sobolev spaces of parabolic inverse coefficient problems in stratified media with transmission conditions of the imperfect contact type. A solution has all generalized derivatives involved in the equation summable to some power. The overdetermination conditions are the values of a solution at some points lying in the domain. The proof relies a priori estimates and the fixed-point theorem.
Keywords:parabolic equation, inverse problem, initial-boundary value problem, well-posedness, existence, uniqueness
First page:
PDF файл