Stable Determination of a Scattered Wave from its Far-Field Pattern: The High Frequency Asymptotics
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| 024 | 7 | 0 | |a 10.1007/s00205-015-0855-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0855-0 | ||
| 245 | 0 | 0 | |a Stable Determination of a Scattered Wave from its Far-Field Pattern: The High Frequency Asymptotics |h [Elektronische Daten] |c [Luca Rondi, Mourad Sini] |
| 520 | 3 | |a We deal with the stability issue for the determination of outgoing time-harmonic acoustic waves from their far-field patterns. We are especially interested in keeping as explicit as possible the dependence of our stability estimates on the wavenumber of the corresponding Helmholtz equation and in understanding the high wavenumber, that is frequency, asymptotics. Applications include stability results for the determination from far-field data of solutions of direct scattering problems with sound-soft obstacles and an instability analysis for the corresponding inverse obstacle problem. The key tool consists of establishing precise estimates on the behavior of Hankel functions with large argument or order. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Rondi |D Luca |u Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste, via Valerio, 12/1, 34127, Trieste, Italy |4 aut | |
| 700 | 1 | |a Sini |D Mourad |u Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergstr. 69, 4040, Linz, Austria |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 1-54 |x 0003-9527 |q 218:1<1 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0855-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0855-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Rondi |D Luca |u Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste, via Valerio, 12/1, 34127, Trieste, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sini |D Mourad |u Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergstr. 69, 4040, Linz, Austria |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 1-54 |x 0003-9527 |q 218:1<1 |1 2015 |2 218 |o 205 | ||