Ly, Hong Hai Spectral convergence of Neumann Laplacian perturbed by an infinite set of curved holes. (English) Zbl 07902630 Ann. Mat. Pura Appl. (4) 203, No. 4, 1569-1585 (2024). MSC: 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Anné, Colette; Post, Olaf Wildly perturbed manifolds: norm resolvent and spectral convergence. (English) Zbl 1469.58018 J. Spectr. Theory 11, No. 1, 229-279 (2021). MSC: 58J50 35P15 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jimbo, Shuichi Eigenvalues of the Laplacian in a domain with a thin tubular hole. (English) Zbl 1391.35299 J. Elliptic Parabol. Equ. 1, No. 1, 137-174 (2015). MSC: 35P15 35J05 35P20 × Cite Format Result Cite Review PDF Full Text: DOI
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib Layer potential techniques in spectral analysis. I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions. (English) Zbl 1195.35234 Trans. Am. Math. Soc. 362, No. 6, 2901-2922 (2010). Reviewer: Dian K. Palagachev (Bari) MSC: 35P10 30E15 35J05 35B40 78A48 × Cite Format Result Cite Review PDF Full Text: DOI
Hempel, Rainer On the lowest eigenvalue of the Laplacian with Neumann boundary condition at a small obstacle. (English) Zbl 1091.35047 J. Comput. Appl. Math. 194, No. 1, 54-74 (2006). MSC: 35P15 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Ammari, Habib; Khelifi, Abdessatar Electromagnetic scattering by small dielectric inhomogeneities. (English) Zbl 1033.78006 J. Math. Pures Appl., IX. Sér. 82, No. 7, 749-842 (2003). Reviewer: Johannes Elschner (Berlin) MSC: 78A45 35Q60 78M35 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Mel’nyk, T. A. Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator. (English) Zbl 1016.47014 Z. Anal. Anwend. 20, No. 4, 941-957 (2001). MSC: 47A55 35B25 47A75 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Shin Spectra of the Laplacian with small Robin conditional boundary. (English) Zbl 0857.35094 Proc. Japan Acad., Ser. A 72, No. 3, 53-54 (1996). MSC: 35P05 35B25 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Arrieta, Jose M. Rates of eigenvalues on a dumbbell domain. Simple eigenvalue case. (English) Zbl 0856.35095 Trans. Am. Math. Soc. 347, No. 9, 3503-3531 (1995). Reviewer: N.Vulchanov (Gabrovo) MSC: 35P15 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Shin; Roppongi, Susumu Singular variation of domains and continuity property of eigenfunction for some semi-linear elliptic equations. (English) Zbl 0923.35062 Kodai Math. J. 18, No. 2, 315-327 (1995). MSC: 35J65 35B25 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Shin; Roppongi, Susumu Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. II. (English) Zbl 0854.35078 Kodai Math. J. 15, No. 3, 403-429 (1992). Reviewer: K.Pflüger (Berlin) MSC: 35P20 35B25 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Osawa, Tatsuz; Ozawa, Shin Nonlinear eigenvalue problem and singular variation of domains. (English) Zbl 0782.35054 Kodai Math. J. 15, No. 3, 313-323 (1992). Reviewer: M.Kučera (Praha) MSC: 35P30 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Shin; Roppongi, Susumu Singular variation of domain and eigenvalues of the Laplacian with the third boundary condition. (English) Zbl 0838.35089 Proc. Japan Acad., Ser. A 68, No. 7, 186-189 (1992). MSC: 35P20 35J05 35B25 × Cite Format Result Cite Review PDF Full Text: DOI
Arrieta, José M.; Hale, Jack K.; Han, Qing Eigenvalue problems for nonsmoothly perturbed domains. (English) Zbl 0736.35073 J. Differ. Equations 91, No. 1, 24-52 (1991). Reviewer: G.Bottaro (Genova) MSC: 35P05 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Jimbo, Shuichi The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition. (English) Zbl 0703.35138 J. Differ. Equations 77, No. 2, 322-350 (1989). Reviewer: I.Zino MSC: 35P20 35J05 35B25 × Cite Format Result Cite Review PDF Full Text: DOI
Friedman, Avner; Vogelius, Michael Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence. (English) Zbl 0684.35087 Arch. Ration. Mech. Anal. 105, No. 4, 299-326 (1989). Reviewer: A.Kirsch MSC: 35R30 78A30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Anné, Colette Spectre du Laplacien et écrasement d’anses. (Spectrum of the Laplacian and down breaking handles). (French) Zbl 0634.58035 Ann. Sci. Éc. Norm. Supér. (4) 20, No. 2, 271-280 (1987). Reviewer: D.Perrone MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Ozawa, Shin Fluctuation of spectra in random media. (English) Zbl 0615.60060 Proc. Japan Acad., Ser. A 62, 246-248 (1986). MSC: 60H99 35M99 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Shin A shape of eigenfunction of the Laplacian under singular variation of domains. II: The Neumann boundary condition. (English) Zbl 0591.35049 Proc. Japan Acad., Ser. A 60, 125-126 (1984). Reviewer: J.R.Kuttler MSC: 35P10 35J40 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Shin Random media and quasi-classical limit of Schrödinger operator. (English) Zbl 0564.35025 Proc. Japan Acad., Ser. A 60, 43-45 (1984). MSC: 35J10 35R60 35P20 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, S. Random media and eigenvalues of the Laplacian. (English) Zbl 0555.35101 Commun. Math. Phys. 94, 421-437 (1984). MSC: 35P20 35J05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Shin A shape of eigenfunction of the Laplacian under singular variation of domains. (English) Zbl 0551.35065 Proc. Japan Acad., Ser. A 59, 315-317 (1983). Reviewer: M.S.P.Eastham MSC: 35P20 35J05 × Cite Format Result Cite Review PDF Full Text: DOI