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

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  • Kairi Kasemets
  • Jaan Janno

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.

Suggested Citation

  • Kairi Kasemets & Jaan Janno, 2013. "Inverse Problems for a Parabolic Integrodifferential Equation in a Convolutional Weak Form," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:297104
    DOI: 10.1155/2013/297104
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    References listed on IDEAS

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    1. Giovambattista Amendola & Mauro Fabrizio & John Murrough Golden, 2012. "Thermodynamics of Materials with Memory," Springer Books, in: Thermodynamics of Materials with Memory, chapter 0, pages 109-122, Springer.
    2. Giovambattista Amendola & Mauro Fabrizio & John Murrough Golden, 2012. "Thermodynamics of Materials with Memory," Springer Books, Springer, number 978-1-4614-1692-0, October.
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