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Recovering memory kernels in parabolic transmission problems
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J. Janno
Published/Copyright:
May 26, 2008
Abstract
In this paper we recover two unknown kernels related to a thermal body Ω with memory consisting of two different sub-bodies Ω1 and Ω2, when the boundaries of Ω1 and Ω2 have a common (closed) surface Γ intersecting the boundary ∂Ω of Ω. The additional measurements are performed on two (accessible) subsets of ∂Ω1 and ∂Ω2. For this problem we prove existence, uniqueness and continuous dependence on the data in the framework of Sobolev spaces of L2-type in space.
Key words.: Parabolic integrodifferential transmission problems; unknown memory kernels; identification problems; existence; uniqueness and continuous dependence results
Published Online: 2008-05-26
Published in Print: 2008-May
© de Gruyter 2008
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- Inverse problem for parabolic high-order equations
- Multiscale Lavrentiev method for systems of Volterra equations of the first kind
- Recovering memory kernels in parabolic transmission problems
- Impact of conditional stability: Convergence rates for general linear regularization methods
- Differential identities and uniqueness theorem in inverse problem for the Boltzmann–Vlasov equation
- Inverse problem with unknown composite external action for hyperbolic equations
Articles in the same Issue
- Inverse problem for parabolic high-order equations
- Multiscale Lavrentiev method for systems of Volterra equations of the first kind
- Recovering memory kernels in parabolic transmission problems
- Impact of conditional stability: Convergence rates for general linear regularization methods
- Differential identities and uniqueness theorem in inverse problem for the Boltzmann–Vlasov equation
- Inverse problem with unknown composite external action for hyperbolic equations
