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title:
Adaptive Wavelet Methods for Inverse Parabolic Problems: Tensor Product Wavelet Bases on General Domains and new Existence and Uniqueness Results for the Forward Problem |
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name:
Friedrich |
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first name:
Ulrich
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location/conference:
SPP-JT09
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PRESENTATION-link:
http://dfg-spp1324.de/download/jt09/talks/friedrich.pdf |
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abstract:
In the first part of the talk the work program of our project is lined out. This is motivated by the problem of identifying the parameters in a nonlinear parabolic equation modeling gene expression levels in the embryogenesis of drosophila blastodermis (fruit fly). A strategy to adaptively solve this ill-posed problem by iterated soft shrinkage and the associated forward problem is presented. In the second part of the talk, a basis construction for complex domains avoiding the curse of dimensionality based on the extension of local bases is given. Moreover existence and uniqueness results for the forward problem are presented. |
