Abstract:
Existence and uniqueness theorems for the solution to the inverse problem of determining the lower-order coefficient in multidimensional parabolic equations with integral observation are obtained. An estimate of the maximum of the modulus of the unknown coefficient with a constant explicitly expressed via the input data of the problem is given.
Keywords:multidimensional parabolic equation, inverse problem for parabolic equations with integral observation, maximum principle, Cordes-type condition.