Výsledky vyhledávání - "localized eigenfunction"

Eigenfunctions localised on a defect in high-contrast random media

Autoři: Capoferri M. Cherdantsev M. Velcic I. a další

Přispěvatelé: Capoferri M. Cherdantsev M. Velcic I. a další

Témata: defect mode, high contrast media, localized eigenfunction, random media, stochastic homogenization, Settore MATH-03/A - Analisi matematica

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:001114759300032; volume:55; issue:6; firstpage:7449; lastpage:7489; numberofpages:41; journal:SIAM JOURNAL ON MATHEMATICAL ANALYSIS; https://hdl.handle.net/2434/1100992

Dostupnost: https://hdl.handle.net/2434/1100992
https://doi.org/10.1137/21M1468486

Localization effects for eigenfunctions near to the edge of a thin domain

Autoři: Serguei A. Nazarov

Zdroj: Mathematica Bohemica. 127:283-292

Témata: mixed boundary value problem, Asymptotic behavior of solutions to PDEs, 4. Education, localized eigenfunction, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, boundary layer, trapped mode, 01 natural sciences, spectrum, Classical linear elasticity, Anisotropy in solid mechanics, thin domain, Laplacian, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://dml.cz/bitstream/handle/10338.dmlcz/134169/MathBohem_127-2002-2_16.pdf
https://dml.cz/handle/10338.dmlcz/134169

Localization of eigenfunctions at zero for certain almost periodic operators

Autoři: Norbert Riedel

Zdroj: Ergodic Theory and Dynamical Systems. 19:1521-1525

Témata: Ergodic theorems, spectral theory, Markov operators, localized eigenfunction, rotation \(C^*\)-algebra, Ergodicity, mixing, rates of mixing, difference equation, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://www.journals.cambridge.org/abstract_S0143385799146765
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/localization-of-eigenfunctions-at-zero-for-certain-almost-periodic-operators/195A67B25EA34BBE9A3C0C55ECD7DED4

Distributions of Localized Eigenvalues of Laplacians on Post Critically Finite Self-Similar Sets: Distributions of localized eigenvalues of Laplacians on post critically finite self-similar sets

Autoři: Jun Kigami

Zdroj: Journal of Functional Analysis. 156:170-198

Témata: Probabilistic potential theory, post critical set, Fractals, Laplace operator, Asymptotic distributions of eigenvalues in context of PDEs, finitely ramified fractals, localized eigenfunction, eigenvalue counting function, fractal Laplacian, 0101 mathematics, 01 natural sciences, Analysis

Popis souboru: application/xml

Přístupová URL adresa: http://janroman.dhis.org/finance/Related%20to%20Fractals/fractals/3243a.pdf
https://core.ac.uk/display/81966034
https://www.sciencedirect.com/science/article/pii/S0022123698932438

Localized Eigenfunctions of the Laplacian on p.c.f. Self-Similar Sets: Localized eigenfunctions of the Laplacian on p. c. f. self-similar sets

Autoři: Jun Kigami Martin T. Barlow

Zdroj: Journal of the London Mathematical Society. 56:320-332

Témata: counting function, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Asymptotic distributions of eigenvalues in context of PDEs, self-similar fractal spaces, localized eigenfunction, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610797005358
https://academic.oup.com/jlms/article/56/2/320/790594
http://janroman.dhis.org/finance/Related%20to%20Fractals/fractals/bladerunner_REQUNIQ=1006429463&REQSESS=2025665&118200REQEVENT=&REQINT1=19934&REQAUTH=0.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=439962

Localization effects for eigenfunctions near to the edge of a thin domain

Autoři: Nazarov, Serguei A.

Témata: keyword:spectral problem, keyword:thin domain, keyword:boundary layer, keyword:trapped mode, keyword:localized eigenfunction, msc:35B40, msc:35J25, msc:35P05, msc:74B05, msc:74E10, msc:74G10

Popis souboru: application/pdf

Relation: mr:MR1981533; zbl:Zbl 1022.74003; reference:[1] Ciarlet P. G., Kesavan S.: Two dimensional approximations of three dimensional eigenvalues in plate theory.Comput. Methods Appl. Mech. Engrg. 26 (1980), 149–172. MR 0626720; reference:[2] Zorin I. S., Nazarov S. A.: Edge effect in the bending of a thin three-dimensional plate.J. Appl. Math. Mech. 53 (1989), 500–507. MR 1022416, 10.1016/0021-8928(89)90059-2; reference:[3] Dauge M., Djurdjevic I., Faou E., Rössle A.: Eigenmode asymptotics in thin elastic plates.J. Math. Pures Appl. 78 (1999), 925–964. MR 1725748, 10.1016/S0021-7824(99)00138-5; reference:[4] Berdichevskii V. L.: High-frequency long-wave oscillations of plates.Doklady AN SSSR 236 (1977), 1319–1322. MR 0455709; reference:[5] Berdichevskii V. L.: Variational Principles in Mechanics of Continuous Media.Nauka, Moskva, 1983. MR 0734171; reference:[6] Nazarov S. A.: On the asymptotics of the spectrum of a thin plate problem of elasticity.Siberian Math. J. 41 (2000), 744–759. Zbl 1150.74367, MR 1785611, 10.1007/BF02679699; reference:[7] Nazarov S. A.: Asymptotics of eigenvalues of the Dirichlet problem in a thin domain.Sov. Math. 31 (1987), 68–80. Zbl 0664.35064; reference:[8] Kamotskii I. V., Nazarov S. A.: On eigenfunctions localized in a neighborhood of the lateral surface of a thin domain.Probl. matem. analiz 19 (1999), 105–148. (Russian) MR 1784687; reference:[9] Maz’ya V., Nazarov S., Plamenevskij B.: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains, Vol. 1, 2.Birkhäuser, Basel, 2000.; reference:[10] Evans D. V., Levitin M., Vasil’ev D.: Existence theorems for trapped modes.J. Fluid Mech. 261 (1994), 21–31. MR 1265871, 10.1017/S0022112094000236; reference:[11] Roitberg I., Vassiliev D., Weidl T.: Edge resonance in an elastic semi-strip.Q. J. Mech. Appl. Math. 51 (1998), 1–13. MR 1610688, 10.1093/qjmam/51.1.1; reference:[12] Nazarov S. A.: The structure of solutions of elliptic boundary value problems in slender domains.Vestn. Leningr. Univ. Math. 15 (1983), 99–104. Zbl 0527.35011; reference:[13] Nazarov S. A.: A general scheme for averaging selfadjoint elliptic systems in multidimensional domains, including thin domains.St. Petersburg Math. J. 7 (1996), 681–748. MR 1365812; reference:[14] Nazarov S. A.: Singularities of the gradient of the solution of the Neumann problem at the vertex of a cone.Math. Notes 42 (1987), 555–563. Zbl 0639.35018, MR 0910031, 10.1007/BF01138726; reference:[15] Maz’ya V. G., Nazarov S. A., Plamenevskii B. A.: On the singularities of solutions of the Dirichlet problem in the exterior of a slender cone.Math. USSR Sbornik 50 (1985), 415–437. 10.1070/SM1985v050n02ABEH002837; reference:[16] Nazarov S. A.: Justification of asymptotic expansions of the eigenvalues of non-selfadjoint singularly perturbed elliptic boundary value problems.Math. USSR Sbornik 57 (1987), 317–349. MR 0837128, 10.1070/SM1987v057n02ABEH003071; reference:[17] Nazarov S. A.: Asymptotic Theory of Thin Plates and Rods. Dimension Reduction and Integral Estimates.Nauchnaya Kniga, Novosibirsk, 2001. (Russian)

Dostupnost: http://hdl.handle.net/10338.dmlcz/134169