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CORRIGENDUM: A NEW CONVERGENT ALGORITHM TO APPROXIMATE POTENTIALS FROM FIXED ANGLE SCATTERING DATA.
- Source :
- SIAM Journal on Applied Mathematics; 2019, Vol. 79 Issue 6, p2688-2691, 4p
- Publication Year :
- 2019
-
Abstract
- The purpose of this note is to correct the statement of Theorem 1.1 in [J. A. Barceló et al., SIAM J. Appl. Math., 78 (2018), pp. 2714--2736] which consider any dimension d ≥ 2, since the proof given fails in dimension d = 2. The gap in the proof is in Lemma 2.5 of [J. A. Barceló et al., SIAM J. Appl. Math., 78 (2018), pp. 2714--2736] where an estimate for the resolvent of the Laplace operator (Δ + k²)<superscript>-1</superscript> in Rd is stated for k small and any dimension d ≥ 2. However, this estimate is only true for d ≥ 3. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361399
- Volume :
- 79
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 144796572
- Full Text :
- https://doi.org/10.1137/19M1278508