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Thesis

On local constraints and regularity of PDE in electromagnetics. Applications to hybrid imaging inverse problems

Abstract:

The first contribution of this thesis is a new regularity theorem for time harmonic Maxwell's equations with less than Lipschitz complex anisotropic coefficients. By using the Lp theory for elliptic equations, it is possible to prove H1 and Hölder regularity results, provided that the coefficients are W1,p for some p = 3. This improves previous regularity results, where the assumption W1,∞ for the coef...

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Publisher copy:
10.1137/130929539

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Oxford Centre for Nonlinear PDE
Oxford college:
St Peter's College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
DOI:
Language:
English
Keywords:
Subjects:
UUID:
uuid:1b30b3b7-29b1-410d-ae30-bd0a87c9720b
Local pid:
ora:8940
Deposit date:
2014-09-12

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