Abstract and Applied Analysis

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

Kairi Kasemets and Jaan Janno

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 297104, 16 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511786

Digital Object Identifier
doi:10.1155/2013/297104

Mathematical Reviews number (MathSciNet)
MR3035367

Zentralblatt MATH identifier
1274.35412

Citation

Kasemets, Kairi; Janno, Jaan. Inverse Problems for a Parabolic Integrodifferential Equation in a Convolutional Weak Form. Abstr. Appl. Anal. 2013 (2013), Article ID 297104, 16 pages. doi:10.1155/2013/297104. https://projecteuclid.org/euclid.aaa/1393511786


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