Inverse Problems for a Parabolic Integrodifferential Equation in a Convolutional Weak Form-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-16
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kasemets Kairi¹,Janno Jaan¹

Affiliation:

1. Department of Mathematics, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia

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.

Funder

Eesti Teadusfondi

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/297104.pdf

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