Quantitative Runge Approximation and Inverse Problems
Rüland, A., & Salo, M. (2019). Quantitative Runge Approximation and Inverse Problems. International Mathematics Research Notices, 2019(20), 6216-6234. https://doi.org/10.1093/imrn/rnx301
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International Mathematics Research NoticesDate
2019Copyright
© 2018 Oxford University Press
In this short note, we provide a quantitative version of the classical Runge approximation property for second-order elliptic operators. This relies on quantitative unique continuation results and duality arguments. We show that these estimates are essentially optimal. As a model application, we provide a new proof of the result from [8], [2] on stability for the Calderón problem with local data.
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Oxford University PressISSN Search the Publication Forum
1073-7928Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/27840396
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Related funder(s)
Academy of Finland; European CommissionFunding program(s)
Centre of Excellence, AoF; FP7 (EU's 7th Framework Programme)
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Additional information about funding
A.R. gratefully acknowledges a Junior Research Fellowship at Christ Church. M.S. was supported by the Academy of Finland (Finnish Centre of Excellence in Inverse Problems Research, grant number 284715) and an ERC Starting Grant (grant number 307023).License
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