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

Kairi Kasemets and Jaan Janno

Abstract and Applied Analysis, 2013, vol. 2013, 1-16

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:297104

DOI: 10.1155/2013/297104

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