Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation
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<p style='text-indent:20px;'>In this article, we discuss quantitative Runge approximation properties for the acoustic Helmholtz equation and prove stability improvement results in the high frequency limit for an associated partial data inverse problem modelled on [<xref ref-type="bibr" rid="b3">3</xref>,<xref ref-type="bibr" rid="b35">35</xref>]. The results rely on quantitative unique continuation estimates in suitable function spaces with explicit frequency dependence. We contrast the frequency dependence of interior Runge approximation results from non-convex and convex sets.</p>
2006 ◽
Vol 230
(1)
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pp. 116-168
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2017 ◽
Vol 196
(6)
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pp. 2023-2042
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2002 ◽
Vol 27
(3-4)
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pp. 607-651
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2018 ◽
Vol 71
(11)
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pp. 2220-2274
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2019 ◽
Vol 126
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pp. 273-291
2018 ◽
Vol 2019
(20)
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pp. 6216-6234
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1971 ◽
Vol 36
(4)
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pp. 527-537
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