Nguyen, Hoai-Minh Cloaking property of a plasmonic structure in doubly complementary media and three-sphere inequalities with partial data. (English) Zbl 07510649 SIAM J. Math. Anal. 54, No. 2, 2040-2096 (2022). MSC: 35B45 35B34 35B35 35B40 35J47 35Q61 78A25 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, SIAM J. Math. Anal. 54, No. 2, 2040--2096 (2022; Zbl 07510649) Full Text: DOI OpenURL
Nguyen, Hoai-Minh; Nguyen, Quoc-Hung The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions. (English) Zbl 07373401 J. Funct. Anal. 281, No. 8, Article ID 109146, 37 p. (2021). MSC: 47A10 47A40 35A01 35A15 78A25 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{Q.-H. Nguyen}, J. Funct. Anal. 281, No. 8, Article ID 109146, 37 p. (2021; Zbl 07373401) Full Text: DOI arXiv OpenURL
Cakoni, Fioralba; Nguyen, Hoai-Minh On the discreteness of transmission eigenvalues for the Maxwell equations. (English) Zbl 1458.35401 SIAM J. Math. Anal. 53, No. 1, 888-913 (2021). MSC: 35Q61 35A01 35A15 78A25 78A46 35P25 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{H.-M. Nguyen}, SIAM J. Math. Anal. 53, No. 1, 888--913 (2021; Zbl 1458.35401) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh; Sil, Swarnendu Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients. (English) Zbl 1451.35207 Commun. Math. Phys. 379, No. 1, 145-176 (2020). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q61 78A25 35A01 35A02 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{S. Sil}, Commun. Math. Phys. 379, No. 1, 145--176 (2020; Zbl 1451.35207) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh; Van Schaftingen, Jean Characterization of the traces on the boundary of functions in magnetic Sobolev spaces. (English) Zbl 1457.46048 Adv. Math. 371, Article ID 107246, 35 p. (2020). MSC: 46E35 26A33 35Q40 78A25 82D40 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{J. Van Schaftingen}, Adv. Math. 371, Article ID 107246, 35 p. (2020; Zbl 1457.46048) Full Text: DOI arXiv Link OpenURL
Nguyen, Hoai-Minh; Vogelius, Michael S. Approximate cloaking using transformation optics for acoustic and electromagnetic waves. (English) Zbl 1433.35384 Acta Math. Vietnam. 45, No. 1, 261-280 (2020). MSC: 35Q60 35A15 35B40 78A10 35-02 35J05 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{M. S. Vogelius}, Acta Math. Vietnam. 45, No. 1, 261--280 (2020; Zbl 1433.35384) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh Cloaking using complementary media for electromagnetic waves. (English) Zbl 1437.35649 ESAIM, Control Optim. Calc. Var. 25, Paper No. 29, 19 p. (2019). MSC: 35Q60 35B34 35B35 35B40 35J05 78A25 78A40 35J15 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 29, 19 p. (2019; Zbl 1437.35649) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh; Tran, Loc Approximate cloaking for electromagnetic waves via transformation optics: cloaking versus infinite energy. (English) Zbl 1425.35186 Math. Models Methods Appl. Sci. 29, No. 8, 1511-1552 (2019). MSC: 35Q60 78A25 35A15 35B40 78A40 78M30 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{L. Tran}, Math. Models Methods Appl. Sci. 29, No. 8, 1511--1552 (2019; Zbl 1425.35186) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh The invisibility via anomalous localized resonance of a source for electromagnetic waves. (English) Zbl 1425.35185 Res. Math. Sci. 6, No. 4, Paper No. 32, 22 p. (2019). MSC: 35Q60 35Q61 78A40 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, Res. Math. Sci. 6, No. 4, Paper No. 32, 22 p. (2019; Zbl 1425.35185) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh; Tran, Loc X. Approximate cloaking for time-dependent Maxwell equations via transformation optics. (English) Zbl 1428.35567 SIAM J. Math. Anal. 51, No. 5, 4142-4171 (2019). MSC: 35Q61 35A15 35B40 35F10 78A40 78M30 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{L. X. Tran}, SIAM J. Math. Anal. 51, No. 5, 4142--4171 (2019; Zbl 1428.35567) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh Cloaking via anomalous localized resonance for doubly complementary media in the finite frequency regime. (English) Zbl 1428.78017 J. Anal. Math. 138, No. 1, 157-184 (2019). MSC: 78A45 78A10 78A48 35J05 35B35 35B34 35Q60 35B44 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, J. Anal. Math. 138, No. 1, 157--184 (2019; Zbl 1428.78017) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh Negative index materials: some mathematical perspectives. (English) Zbl 07075138 Acta Math. Vietnam. 44, No. 2, 325-349 (2019). MSC: 35Q60 35B34 35B35 35J05 78A40 78A45 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, Acta Math. Vietnam. 44, No. 2, 325--349 (2019; Zbl 07075138) Full Text: DOI arXiv Link OpenURL
Nguyen, Hoai-Minh Superlensing using complementary media and reflecting complementary media for electromagnetic waves. (English) Zbl 1404.35428 Adv. Nonlinear Anal. 7, No. 4, 449-467 (2018). MSC: 35Q60 35B34 35B35 35B40 35J05 78A25 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, Adv. Nonlinear Anal. 7, No. 4, 449--467 (2018; Zbl 1404.35428) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh; Vinoles, Valentin Electromagnetic wave propagation in media consisting of dispersive metamaterials. (Propagation d’une onde électromagnétique dans un milieu constitué de métamatériaux dispersifs.) (English. French summary) Zbl 1394.78004 C. R., Math., Acad. Sci. Paris 356, No. 7, 757-775 (2018). MSC: 78A25 35Q61 35B30 35B65 78A40 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{V. Vinoles}, C. R., Math., Acad. Sci. Paris 356, No. 7, 757--775 (2018; Zbl 1394.78004) Full Text: DOI arXiv OpenURL
Bonnetier, Eric; Nguyen, Hoai-Minh Superlensing using hyperbolic metamaterials: the scalar case. (English. French summary) Zbl 1412.35320 J. Éc. Polytech., Math. 4, 973-1003 (2017). MSC: 35Q60 35B30 35B40 35J05 35J70 35M10 35L53 78A25 PDF BibTeX XML Cite \textit{E. Bonnetier} and \textit{H.-M. Nguyen}, J. Éc. Polytech., Math. 4, 973--1003 (2017; Zbl 1412.35320) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh Cloaking an arbitrary object via anomalous localized resonance: the cloak is independent of the object. (English) Zbl 1375.78019 SIAM J. Math. Anal. 49, No. 4, 3208-3232 (2017). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A40 78M30 35A15 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, SIAM J. Math. Anal. 49, No. 4, 3208--3232 (2017; Zbl 1375.78019) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh Negative index materials and their applications: recent mathematics progress. (English) Zbl 1371.35036 Chin. Ann. Math., Ser. B 38, No. 2, 601-628 (2017). MSC: 35J05 35B34 35B35 35B40 78A25 35-02 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, Chin. Ann. Math., Ser. B 38, No. 2, 601--628 (2017; Zbl 1371.35036) Full Text: DOI Link OpenURL
Nguyen, Hoai-Minh; Nguyen, Quoc-Hung Discreteness of interior transmission eigenvalues revisited. (English) Zbl 1375.35289 Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 51, 38 p. (2017). Reviewer: Ivan Naumkin (Nice) MSC: 35P25 49R05 78A40 78M30 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{Q.-H. Nguyen}, Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 51, 38 p. (2017; Zbl 1375.35289) Full Text: DOI arXiv Link OpenURL
Nguyen, Hoai-Minh Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients. (English. French summary) Zbl 1343.35074 J. Math. Pures Appl. (9) 106, No. 2, 342-374 (2016). MSC: 35J05 35B34 35B35 35B40 78A25 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, J. Math. Pures Appl. (9) 106, No. 2, 342--374 (2016; Zbl 1343.35074) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh; Nguyen, Loc Hoang Cloaking using complementary media for the Helmholtz equation and a three spheres inequality for second order elliptic equations. (English) Zbl 1336.35126 Trans. Am. Math. Soc., Ser. B 2, 93-112 (2015). MSC: 35J05 35B34 35B35 35B40 78A25 78M35 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{L. H. Nguyen}, Trans. Am. Math. Soc., Ser. B 2, 93--112 (2015; Zbl 1336.35126) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh Cloaking via anomalous localized resonance for doubly complementary media in the quasistatic regime. (English) Zbl 1341.35031 J. Eur. Math. Soc. (JEMS) 17, No. 6, 1327-1365 (2015). Reviewer: Aleksander Pankov (Baltimore) MSC: 35J25 78A45 78A48 35B34 35B35 35B40 35J05 78A25 78M35 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, J. Eur. Math. Soc. (JEMS) 17, No. 6, 1327--1365 (2015; Zbl 1341.35031) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh Asymptotic behavior of solutions to the Helmholtz equations with sign changing coefficients. (English) Zbl 1321.35012 Trans. Am. Math. Soc. 367, No. 9, 6581-6595 (2015). MSC: 35J05 35B40 35Q60 78A40 78M35 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, Trans. Am. Math. Soc. 367, No. 9, 6581--6595 (2015; Zbl 1321.35012) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh; Nguyen, Loc Hoang Localized and complete resonance in plasmonic structures. (English) Zbl 1320.78005 ESAIM, Math. Model. Numer. Anal. 49, No. 3, 741-754 (2015). MSC: 78A25 78M35 35A20 35B25 35B40 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{L. H. Nguyen}, ESAIM, Math. Model. Numer. Anal. 49, No. 3, 741--754 (2015; Zbl 1320.78005) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh Cloaking via anomalous localized resonance. A connection between the localized resonance and the blow up of the power for doubly complementary media. (Invisibilité par résonance localisée anormale. Une liaison entre la résonance localisée et l’exposion de la puissance pour les milieux doublement complémentaires.) (English. French summary) Zbl 1368.78057 C. R., Math., Acad. Sci. Paris 353, No. 1, 41-46 (2015). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 35B34 35B35 35Q60 35J25 78M35 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, C. R., Math., Acad. Sci. Paris 353, No. 1, 41--46 (2015; Zbl 1368.78057) Full Text: DOI Link OpenURL
Nguyen, Hoai-Minh On a regularized scheme for approximate acoustic cloaking using transformation optics. (English) Zbl 1283.35017 SIAM J. Math. Anal. 45, No. 5, 3034-3049 (2013). MSC: 35J05 35B40 78A25 78M35 PDF BibTeX XML Cite \textit{H.-M. Nguyen}, SIAM J. Math. Anal. 45, No. 5, 3034--3049 (2013; Zbl 1283.35017) Full Text: DOI arXiv OpenURL
Nguyen, Hoai-Minh; Vogelius, Michael S. Full range scattering estimates and their application to cloaking. (English) Zbl 1257.78011 Arch. Ration. Mech. Anal. 203, No. 3, 769-807 (2012). Reviewer: Victor Péron (Pau) MSC: 78A45 35Q60 35P25 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{M. S. Vogelius}, Arch. Ration. Mech. Anal. 203, No. 3, 769--807 (2012; Zbl 1257.78011) Full Text: DOI Link OpenURL
Nguyen, Hoai-Minh; Vogelius, Michael S. Approximate cloaking for the full wave equation via change of variables. (English) Zbl 1258.35135 SIAM J. Math. Anal. 44, No. 3, 1894-1924 (2012). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L05 35J05 35R30 78A46 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{M. S. Vogelius}, SIAM J. Math. Anal. 44, No. 3, 1894--1924 (2012; Zbl 1258.35135) Full Text: DOI Link OpenURL
Nguyen, Hoai Minh Cloaking via change of variables for the Helmholtz equation in the whole space. (English) Zbl 1206.35259 Commun. Pure Appl. Math. 63, No. 11, 1505-1524 (2010). Reviewer: Tilmann Glimm (Bellingham) MSC: 35R30 35J05 78A46 PDF BibTeX XML Cite \textit{H. M. Nguyen}, Commun. Pure Appl. Math. 63, No. 11, 1505--1524 (2010; Zbl 1206.35259) Full Text: DOI Link OpenURL
Nguyen, Hoai-Minh; Vogelius, Michael S. A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity. (English) Zbl 1178.35357 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2283-2315 (2009). MSC: 35Q60 78A25 35B45 35C20 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{M. S. Vogelius}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2283--2315 (2009; Zbl 1178.35357) Full Text: DOI EuDML OpenURL
Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell’s equations. (English) Zbl 1170.35094 Math. Models Methods Appl. Sci. 18, No. 10, 1787-1827 (2008). Reviewer: Michael Perelmuter (Kyïv) MSC: 35Q60 35P25 78A45 35C20 PDF BibTeX XML Cite \textit{H. Haddar} et al., Math. Models Methods Appl. Sci. 18, No. 10, 1787--1827 (2008; Zbl 1170.35094) Full Text: DOI OpenURL
Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. (English) Zbl 1084.35102 Math. Models Methods Appl. Sci. 15, No. 8, 1273-1300 (2005). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35Q60 35J25 78A45 35J05 PDF BibTeX XML Cite \textit{H. Haddar} et al., Math. Models Methods Appl. Sci. 15, No. 8, 1273--1300 (2005; Zbl 1084.35102) Full Text: DOI OpenURL