Inverse Problems for a Parabolic Integrodifferential Equation in a Convolutional Weak Form
Kairi KasemetsDepartment of Mathematics, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, EstoniaJaan JannoDepartment of Mathematics, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia
2013en
ABI
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.
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Cited by 40 references