Inverse Problems for a Parabolic Integrodifferential Equation in a Convolutional Weak Form

الملخص EN

We deduce formulas for the Fréchet derivatives of cost functionals of several inverse problems for a parabolic integrodifferential equation in a weak formulation.

The method consists in the application of an integrated convolutional form of the weak problem and all computations are implemented in regular Sobolev spaces.