Chaumont-Frelet, Théophile; Moiola, Andrea; Spence, Euan A. Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media. (English. French summary) Zbl 07755455 J. Math. Pures Appl. (9) 179, 183-218 (2023). MSC: 35Q61 78A45 35B45 35A01 35A02 PDF BibTeX XML Cite \textit{T. Chaumont-Frelet} et al., J. Math. Pures Appl. (9) 179, 183--218 (2023; Zbl 07755455) Full Text: DOI arXiv
Grubišić, Luka; Hiptmair, Ralf; Renner, Diego Detecting near resonances in acoustic scattering. (English) Zbl 1520.35039 J. Sci. Comput. 96, No. 3, Paper No. 81, 24 p. (2023). MSC: 35J05 65N38 65F15 PDF BibTeX XML Cite \textit{L. Grubišić} et al., J. Sci. Comput. 96, No. 3, Paper No. 81, 24 p. (2023; Zbl 1520.35039) Full Text: DOI
Spence, E. A.; Wunsch, J. Wavenumber-explicit parametric holomorphy of Helmholtz solutions in the context of uncertainty quantification. (English) Zbl 1519.35073 SIAM/ASA J. Uncertain. Quantif. 11, 567-590 (2023). MSC: 35J05 35R60 PDF BibTeX XML Cite \textit{E. A. Spence} and \textit{J. Wunsch}, SIAM/ASA J. Uncertain. Quantif. 11, 567--590 (2023; Zbl 1519.35073) Full Text: DOI arXiv
Chaumont-Frelet, T.; Spence, E. A. Scattering by finely layered obstacles: frequency-explicit bounds and homogenization. (English) Zbl 1514.35019 SIAM J. Math. Anal. 55, No. 2, 1319-1363 (2023). MSC: 35B27 35J05 35P25 78M40 PDF BibTeX XML Cite \textit{T. Chaumont-Frelet} and \textit{E. A. Spence}, SIAM J. Math. Anal. 55, No. 2, 1319--1363 (2023; Zbl 1514.35019) Full Text: DOI arXiv
Hiptmair, Ralf; Moiola, Andrea; Spence, Euan A. Spurious quasi-resonances in boundary integral equations for the Helmholtz transmission problem. (English) Zbl 1497.35105 SIAM J. Appl. Math. 82, No. 4, 1446-1469 (2022). MSC: 35J05 35J25 45A05 78A45 PDF BibTeX XML Cite \textit{R. Hiptmair} et al., SIAM J. Appl. Math. 82, No. 4, 1446--1469 (2022; Zbl 1497.35105) Full Text: DOI arXiv
Chen, Bochao; Gao, Yixian; Liu, Hongyu Modal approximation for time-domain elastic scattering from metamaterial quasiparticles. (English. French summary) Zbl 1496.74082 J. Math. Pures Appl. (9) 165, 148-189 (2022). MSC: 74J20 74A60 PDF BibTeX XML Cite \textit{B. Chen} et al., J. Math. Pures Appl. (9) 165, 148--189 (2022; Zbl 1496.74082) Full Text: DOI arXiv
Capdeboscq, Yves; Ong, Shaun Chen Yang Extending representation formulas for boundary voltage perturbations of low volume fraction to very contrasted conductivity inhomogeneities. (English) Zbl 1489.35048 C. R., Math., Acad. Sci. Paris 360, 127-150 (2022). MSC: 35J25 PDF BibTeX XML Cite \textit{Y. Capdeboscq} and \textit{S. C. Y. Ong}, C. R., Math., Acad. Sci. Paris 360, 127--150 (2022; Zbl 1489.35048) Full Text: DOI arXiv
Ammari, Habib; Millien, Pierre; Vanel, Alice L. Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell’s equations. (English) Zbl 1483.35242 J. Differ. Equations 309, 676-703 (2022). MSC: 35Q61 35C20 31B10 35P25 35B34 PDF BibTeX XML Cite \textit{H. Ammari} et al., J. Differ. Equations 309, 676--703 (2022; Zbl 1483.35242) Full Text: DOI arXiv
Sauter, Stefan; Torres, Céline The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates. (English) Zbl 1517.35223 Asymptotic Anal. 125, No. 3-4, 289-325 (2021). Reviewer: Hongyu Liu (Hong Kong) MSC: 35Q60 35J05 78A45 34B30 33C10 35D30 35B35 35B05 PDF BibTeX XML Cite \textit{S. Sauter} and \textit{C. Torres}, Asymptotic Anal. 125, No. 3--4, 289--325 (2021; Zbl 1517.35223) Full Text: DOI arXiv
Ammari, Habib; Dabrowski, Alexander; Fitzpatrick, Brian; Millien, Pierre Perturbations of the scattering resonances of an open cavity by small particles. II: The transverse electric polarization case. (English) Zbl 1464.35163 Z. Angew. Math. Phys. 72, No. 2, Paper No. 80, 13 p. (2021). MSC: 35P25 35C20 35J25 35Q60 35R30 PDF BibTeX XML Cite \textit{H. Ammari} et al., Z. Angew. Math. Phys. 72, No. 2, Paper No. 80, 13 p. (2021; Zbl 1464.35163) Full Text: DOI arXiv
Pembery, O. R.; Spence, E. A. The Helmholtz equation in random media: well-posedness and a priori bounds. (English) Zbl 1436.35085 SIAM/ASA J. Uncertain. Quantif. 8, 58-87 (2020). MSC: 35J05 35R60 60H15 PDF BibTeX XML Cite \textit{O. R. Pembery} and \textit{E. A. Spence}, SIAM/ASA J. Uncertain. Quantif. 8, 58--87 (2020; Zbl 1436.35085) Full Text: DOI arXiv
Vodev, Georgi Improved parametrix in the glancing region for the interior Dirichlet-to-Neumann map. (English) Zbl 1415.35008 Commun. Partial Differ. Equations 44, No. 5, 367-396 (2019). MSC: 35A27 58J05 35J25 PDF BibTeX XML Cite \textit{G. Vodev}, Commun. Partial Differ. Equations 44, No. 5, 367--396 (2019; Zbl 1415.35008) Full Text: DOI arXiv
Moiola, Andrea; Spence, Euan A. Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions. (English) Zbl 1414.35057 Math. Models Methods Appl. Sci. 29, No. 2, 317-354 (2019). MSC: 35J05 PDF BibTeX XML Cite \textit{A. Moiola} and \textit{E. A. Spence}, Math. Models Methods Appl. Sci. 29, No. 2, 317--354 (2019; Zbl 1414.35057) Full Text: DOI arXiv
Galkowski, Jeffrey The quantum Sabine law for resonances in transmission problems. (English) Zbl 1407.35149 Pure Appl. Anal. 1, No. 1, 27-100 (2019). MSC: 35P20 35P25 PDF BibTeX XML Cite \textit{J. Galkowski}, Pure Appl. Anal. 1, No. 1, 27--100 (2019; Zbl 1407.35149) Full Text: DOI arXiv
Graham, I. G.; Pembery, O. R.; Spence, E. A. The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances. (English) Zbl 1421.35056 J. Differ. Equations 266, No. 6, 2869-2923 (2019). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J05 35J25 PDF BibTeX XML Cite \textit{I. G. Graham} et al., J. Differ. Equations 266, No. 6, 2869--2923 (2019; Zbl 1421.35056) Full Text: DOI arXiv
Sauter, Stefan; Torres, Céline Stability estimate for the Helmholtz equation with rapidly jumping coefficients. (English) Zbl 1401.65139 Z. Angew. Math. Phys. 69, No. 6, Paper No. 139, 30 p. (2018). MSC: 65N80 65N12 35B35 35J05 PDF BibTeX XML Cite \textit{S. Sauter} and \textit{C. Torres}, Z. Angew. Math. Phys. 69, No. 6, Paper No. 139, 30 p. (2018; Zbl 1401.65139) Full Text: DOI arXiv
Triki, Faouzi; Vauthrin, Margaux Mathematical modeling of the photoacoustic effect generated by the heating of metallic nanoparticles. (English) Zbl 1403.35296 Q. Appl. Math. 76, No. 4, 673-698 (2018). MSC: 35Q82 35B30 35R30 35Q35 35B34 82D80 82D35 78A35 78A40 92C37 76Q05 PDF BibTeX XML Cite \textit{F. Triki} and \textit{M. Vauthrin}, Q. Appl. Math. 76, No. 4, 673--698 (2018; Zbl 1403.35296) Full Text: DOI arXiv HAL
Ammari, Habib; Chow, Yat Tin; Zou, Jun Super-resolution in imaging high contrast targets from the perspective of scattering coefficients. (English. French summary) Zbl 1391.35408 J. Math. Pures Appl. (9) 111, 191-226 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35R30 35B30 74J25 PDF BibTeX XML Cite \textit{H. Ammari} et al., J. Math. Pures Appl. (9) 111, 191--226 (2018; Zbl 1391.35408) Full Text: DOI arXiv
Gozzi, Maroua; Khelifi, Abdessatar On the behavior of resonant frequencies in the presence of small anisotropic imperfections. (English) Zbl 1432.35073 Indag. Math., New Ser. 28, No. 6, 1240-1257 (2017). MSC: 35J25 35B25 35C20 35P25 35Q35 35Q61 PDF BibTeX XML Cite \textit{M. Gozzi} and \textit{A. Khelifi}, Indag. Math., New Ser. 28, No. 6, 1240--1257 (2017; Zbl 1432.35073) Full Text: DOI
Petkov, Vesselin Location of eigenvalues for the wave equation with dissipative boundary conditions. (English) Zbl 1372.35202 Inverse Probl. Imaging 10, No. 4, 1111-1139 (2016). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35P20 47A40 35L05 PDF BibTeX XML Cite \textit{V. Petkov}, Inverse Probl. Imaging 10, No. 4, 1111--1139 (2016; Zbl 1372.35202) Full Text: DOI arXiv
Vodev, Georgi Transmission eigenvalues for strictly concave domains. (English) Zbl 1366.35103 Math. Ann. 366, No. 1-2, 301-336 (2016). Reviewer: S. G. Pyatkov (Khanty-Mansiysk) MSC: 35P05 PDF BibTeX XML Cite \textit{G. Vodev}, Math. Ann. 366, No. 1--2, 301--336 (2016; Zbl 1366.35103) Full Text: DOI arXiv
Kawashita, Mishio; Sugimoto, Hiroshi Weighted energy estimates for wave equations in exterior domains. (English) Zbl 1237.35019 Forum Math. 23, No. 6, 1217-1258 (2011). Reviewer: Chengbo Wang (Hangzhou) MSC: 35B40 35L05 35P25 35B45 PDF BibTeX XML Cite \textit{M. Kawashita} and \textit{H. Sugimoto}, Forum Math. 23, No. 6, 1217--1258 (2011; Zbl 1237.35019) Full Text: DOI
Cardoso, Fernando; Vodev, Georgi Boundary stabilization of transmission problems. (English) Zbl 1309.35011 J. Math. Phys. 51, No. 2, 023512, 15 p. (2010). MSC: 35J15 35B34 35P20 47A10 PDF BibTeX XML Cite \textit{F. Cardoso} and \textit{G. Vodev}, J. Math. Phys. 51, No. 2, 023512, 15 p. (2010; Zbl 1309.35011) Full Text: DOI arXiv
Sjöstrand, Johannes Resonances for bottles and trace formulae. (English) Zbl 0979.35109 Math. Nachr. 221, 95-149 (2001). Reviewer: Serghey G.Suvorov (Donetsk) MSC: 35P15 35P25 47A40 PDF BibTeX XML Cite \textit{J. Sjöstrand}, Math. Nachr. 221, 95--149 (2001; Zbl 0979.35109) Full Text: DOI