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JOURNALS // Algebra i Analiz

Algebra i Analiz, 2019, Volume 31, Issue 2, Pages 248–268 (Mi aa1648)

Eigenvalues of the Neumann–Poincare operator in dimension 3: Weyl's law and geometry
Y. Miyanishi, G. Rozenblum

This publication is cited in the following articles:
  1. Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi, Mihai Putinar, “Carleman Factorization of Layer Potentials on Smooth Domains”, Arch Rational Mech Anal, 249:3 (2025)  crossref
  2. Badreddine Benhellal, Konstantin Pankrashkin, “On Neumann-Poincaré operators and self-adjoint transmission problems”, Rev Mat Complut, 2025  crossref
  3. Badreddine Benhellal, Vincent Bruneau, Mahdi Zreik, “A Poincaré–Steklov map for the MIT bag model”, Analysis & PDE, 17:8 (2024), 2923  crossref
  4. Shota Fukushima, Hyeonbae Kang, Yoshihisa Miyanishi, “Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator”, Potential Anal, 2023  crossref
  5. Habib Ammari, Yat Tin Chow, Hongyu Liu, “Quantum ergodicity and localization of plasmon resonances”, Journal of Functional Analysis, 285:4 (2023), 109976  crossref
  6. Yat Tin Chow, Youjun Deng, Hongyu Liu, Mahesh Sunkula, “Surface Concentration of Transmission Eigenfunctions”, Arch Rational Mech Anal, 247:3 (2023)  crossref
  7. Grigori Rozenblum, “The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity”, J. Pseudo-Differ. Oper. Appl., 14:2 (2023)  crossref
  8. Yoshihisa Miyanishi, “A short note on decay rates of odd partitions: an application of spectral asymptotics of the Neumann–Poincaré operators”, Arch. Math., 121:4 (2023), 419  crossref
  9. Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang, “A decomposition theorem of surface vector fields and spectral structure of the Neumann-Poincaré operator in elasticity”, Trans. Amer. Math. Soc., 2023  crossref
  10. Ammari H., Millien P., Vanel A.L., “Modal Approximation For Strictly Convex Plasmonic Resonators in the Time Domain: the Maxwell'S Equations”, J. Differ. Equ., 309 (2022), 676–703  crossref  mathscinet  zmath  isi  scopus
  11. Yoshihisa Miyanishi, “Weyl's law for the eigenvalues of the Neumann–Poincaré operators in three dimensions: Willmore energy and surface geometry”, Advances in Mathematics, 406 (2022), 108547  crossref
  12. Hyeonbae Kang, KIAS Springer Series in Mathematics, 1, Recent Progress in Mathematics, 2022, 119  crossref
  13. Kazunori Ando, Hyeonbae Kang, Sanghyuk Lee, Yoshihisa Miyanishi, “Spectral Structure of the Neumann–Poincaré Operator on Thin Ellipsoids and Flat Domains”, SIAM J. Math. Anal., 54:6 (2022), 6164  crossref
  14. Habib Ammari, Yat Tin Chow, Hongyu Liu, “Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems”, SIAM J. Math. Anal., 54:2 (2022), 1543  crossref
  15. Y. Miyanishi, G. Rozenblum, “Spectral properties of the Neumann-Poincare operator in 3D elasticity”, Int. Math. Res. Notices, 2021:11 (2021), 8715–8740  crossref  mathscinet  zmath  isi  scopus
  16. K. Ando, H. Kang, Y. Miyanishi, M. Putinar, “Spectral analysis of Neumann-Poincare operator”, Rev. Roum. Math. Pures Appl., 66:3-4 (2021), 545–575  mathscinet  zmath  isi
  17. K. Ando, H. Kang, Y. Miyanishi, T. Nakazawa, “Surface localization of plasmons in three dimensions and convexity”, SIAM J. Appl. Math., 81:3 (2021), 1020–1033  crossref  mathscinet  zmath  isi  scopus
  18. Lorenzo Baldassari, Pierre Millien, Alice L. Vanel, “Modal approximation for plasmonic resonators in the time domain: the scalar case”, Partial Differ. Equ. Appl., 2:4 (2021)  crossref
  19. K. Ando, H. Kang, Y. Miyanishi, “Convergence rate for eigenvalues of the elastic Neumann-Poincare operator in two dimensions”, J. Math. Pures Appl., 140 (2020), 211–229  crossref  mathscinet  zmath  isi  scopus


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