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On approximation of inverse problem for abstract parabolic differential equations in Banach spaces
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A. Prilepko
Published/Copyright:
January 24, 2008
The paper is devoted to the approximation of a control element for an abstract parabolic equation. The presentation is given for general approximation schemes, which includes finite element methods, finite difference schemes, projection methods. We apply an iteration-approximation method for the investigation of inverse problems for parabolic equations.
Keywords: Abstract differential equations; C0-semigroups; Banach spaces; discretization methods; difference schemes; discrete semigroups; inverse problems; Fredholm equations
Received: 2006-February-20
Published Online: 2008-01-24
Published in Print: 2007-12-15
© de Gruyter
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Keywords for this article
Abstract differential equations;
C0-semigroups;
Banach spaces;
discretization methods;
difference schemes;
discrete semigroups;
inverse problems;
Fredholm equations
Articles in the same Issue
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- Identification of stress corrosion cracking of SUS samples arising in electromagnetic nondestructive testing
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- Tikhonov regularization with nondifferentiable stabilizing functionals
