Výsledky vyhledávání - "Completeness of eigenfunctions and eigenfunction expansions in context of PDEs"

Spectral theory of the invariant Laplacian on the disk and the sphere – a complex analysis approach: Spectral theory of the invariant Laplacian on the disk and the sphere -- a complex analysis approach

Autoři: Michael Heins Annika Moucha Oliver Roth

Zdroj: Canadian Journal of Mathematics. 77:940-974

Témata: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Möbius invariant subspaces of eigenspaces, Mathematics - Complex Variables, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Laplacian on the complement of the complexified unit circle, FOS: Physical sciences, Special domains (Reinhardt, Hartogs, circular, tube, etc.) in \(\mathbb{C}^n\) and complex manifolds, Mathematical Physics (math-ph), holomorphic eigenfunctions, Functional Analysis (math.FA), Mathematics - Functional Analysis, FOS: Mathematics, Primary 30F45, 30H50, 35P10, Secondary 30B40, 53A55, Complex Variables (math.CV), Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2312.12900
https://zbmath.org/8034341
https://doi.org/10.4153/s0008414x2400021x

Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients

Autoři: Teplinsky, A.Yu.

Témata: Perturbations in context of PDEs, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, \(S\)-homogenization, elliptic operator, boundary layer, Homogenization in context of PDEs, PDEs in media with periodic structure

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1641376
http://dspace.nbuv.gov.ua/handle/123456789/169278

Oblique wave interaction with porous, flexible barriers in a two-layer fluid

Autoři: Trilochan Sahoo S. Mandal Harekrushna Behera

Zdroj: Journal of Engineering Mathematics. 100:1-31

Témata: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Flows in porous media, filtration, seepage, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, least square approximation, Free-surface potential flows for incompressible inviscid fluids, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), porous, flexible barriers, Spectral and related methods applied to problems in solid mechanics, oblique waves, 0103 physical sciences, wave scattering, eigen-system characteristic, two-layer fluid

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/6830171
https://doi.org/10.1007/s10665-015-9830-x
https://link.springer.com/article/10.1007/s10665-015-9830-x
https://link.springer.com/10.1007/s10665-015-9830-x
https://ui.adsabs.harvard.edu/abs/2016JEnMa.100....1M/abstract

Stabilization and parameter estimation for an Euler–Bernoulli beam equation with uncertain harmonic disturbance under boundary output feedback control: Stabilization and parameter estimation for an Euler-Bernoulli beam equation with uncertain harmonic disturbance under boundary output feedback control

Autoři: Bao-Zhu Guo Wei Guo

Zdroj: Nonlinear Analysis: Theory, Methods & Applications. 61:671-693

Témata: 0209 industrial biotechnology, Control/observation systems governed by partial differential equations, Adaptive or robust stabilization, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, stabilization of a vibrating Euler-Bernoulli beam, existence and uniqueness of solution, Adaptive control/observation systems, well-posedness, Lyapunov and storage functions, high gain adaptive regulator, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, Stability in context of PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0362546X04005486

On Eigenfunction Expansions Associated with the Schrodinger Operator with a Singular Potential: On eigenfunction expansions associated with the Schrödinger operator with a singular potential

Autoři: Yu. E. Faiziev Ravshan Ashurov

Zdroj: Differential Equations. 41:254-263

Témata: Schrödinger operator, Riesz mean, Schrödinger operator, Schrödinger equation, Asymptotic distributions of eigenvalues in context of PDEs, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, eigenfunction expansion, Stummel condition, 0101 mathematics, 01 natural sciences, Selfadjoint operator theory in quantum theory, including spectral analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2214142
https://doi.org/10.1007/s10625-005-0156-8
https://link.springer.com/article/10.1007/s10625-005-0156-8

On an eigenvalue problem related to the critical exponent

Autoři: GROSSI, Massimo PACELLA, Filomena

Zdroj: Mathematische Zeitschrift. 250:225-256

Témata: Nonlinear boundary value problems for linear elliptic equations, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 0103 physical sciences, Estimates of eigenvalues in context of PDEs, eigenfunctions, estimates of eigenvalues, Laplacian, 0101 mathematics, Critical exponents in context of PDEs, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007%2Fs00209-004-0755-8.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2807243
https://core.ac.uk/display/54354601
https://documat.unirioja.es/servlet/articulo?codigo=2807243
https://rd.springer.com/article/10.1007/s00209-004-0755-8

Modeling of Wave Resonances in Low-Contrast Photonic Crystals: Modeling of wave resonances in low-contrast photonic crystals

Autoři: Dmitry E. Pelinovsky Dmitri Agueev

Zdroj: SIAM Journal on Applied Mathematics. 65:1101-1129

Témata: Asymptotic distributions of eigenvalues in context of PDEs, stationary transmission boundary-value problems, Asymptotic analysis in optics and electromagnetic theory, photonic crystals, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 0103 physical sciences, wave resonances, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, coupled-mode equations, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://dmpeli.mcmaster.ca/PaperBank/PhotCrys3D.pdf
https://zbmath.org/2206127
https://doi.org/10.1137/040606053

Delayed reflection in a stratified acoustic strip: DELAYED REFLECTION

Autoři: Virginie Régnier

Zdroj: Mathematical Methods in the Applied Sciences. 28:185-203

Témata: Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Wave equation, Goos-Hänchen shift, General topics in linear spectral theory for PDEs, frequency band, Initial-boundary value problems for second-order hyperbolic equations, acoustic waves, 0101 mathematics, 01 natural sciences, spectral analysis, stratified medium

Popis souboru: application/xml

Přístupová URL adresa: http://onlinelibrary.wiley.com/doi/10.1002/mma.554/abstract
https://ui.adsabs.harvard.edu/abs/2005MMAS...28..185R/abstract

Commutators, C0-semigroups and resolvent estimates: Commutators, \(C_{0}\)-semigroups and resolvent estimates

Autoři: Georgescu, Vladimir Gerard, Christian Møller, Jacob Schach

Zdroj: Georgescu, V, Gerard, C & Møller, J S 2004, 'Commutators, C 0-semigroups and Resolvent Estimates', Journal of Functional Analysis, vol. 216, no. 2, pp. 303-361. https://doi.org/10.1016/j.jfa.2004.03.004

Témata: virial theorem, C0- semigroups, One-parameter semigroups and linear evolution equations, \(C_{0}\)-semigroups, boundary values of resolvent families, Applications of operator theory in the physical sciences, resolvent estimates, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, positive commutators, Mourre estimate, conjugate operators, 01 natural sciences, Resolvent estimates, Positive commutators, 0103 physical sciences, Scattering theory for PDEs, Commutators, derivations, elementary operators, etc, Boundary values of resolvent families, Conjugate operator, Virial theorem, 0101 mathematics, Analysis, Selfadjoint operator theory in quantum theory, including spectral analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2134400
https://doi.org/10.1016/j.jfa.2004.03.004
https://www.sciencedirect.com/science/article/pii/S0022123604000837
http://www.sciencedirect.com/science/article/pii/S0022123604000837
https://core.ac.uk/display/82679102
https://pure.au.dk/portal/en/publications/b00ba470-c019-11db-bee9-02004c4f4f50
https://doi.org/10.1016/j.jfa.2004.03.004

WAVE PROPAGATION IN A 3-D OPTICAL WAVEGUIDE: Wave propagation in a 3-D optical waveguide.

Autoři: Alexandrov, O CIRAOLO, Giulio

Zdroj: Mathematical Models and Methods in Applied Sciences. 14:819-852

Témata: representation of solutions, Equazioni alle derivate parziali, equazione di Helmholtz, guide d'onda, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 34B27, open electromagnetic wave guides, Numerical Analysis (math.NA), Green's function, radiation condition, Antennas, waveguides in optics and electromagnetic theory, 01 natural sciences, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, 35J05, Green's functions for ordinary differential equations, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, PDEs in connection with optics and electromagnetic theory

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/pdf/math/0304227
http://arxiv.org/abs/math/0304227
https://dialnet.unirioja.es/servlet/articulo?codigo=927746
http://math.unipa.it/~g.ciraolo/alexandrov_ciraolo_I.pdf
https://air.unimi.it/handle/2434/675386
https://conservancy.umn.edu/handle/11299/3862
https://worldscientific.com/doi/10.1142/S0218202504003465
https://pure.unipa.it/it/publications/wave-propagation-in-a-3-d-optical-waveguide-3
https://hdl.handle.net/2434/675386
https://doi.org/10.1142/S0218202504003465

The Hamiltonians of Pseudorelativistic Atoms with Finite-Mass Nuclei: The Structure of the Discrete Spectrum: The Hamiltonians of pseudorelativistic atoms with finite-mass nuclei: the structure of the discrete spectrum

Autoři: G. M. Zhislin

Zdroj: Functional Analysis and Its Applications. 38:151-156

Témata: discrete spectrum, pseudorelativisic Hamiltonian, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 0103 physical sciences, 0101 mathematics, 01 natural sciences, Atomic physics, Selfadjoint operator theory in quantum theory, including spectral analysis, Relativistic cosmology, spectral asymptotics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2193447
https://doi.org/10.1023/b:faia.0000034046.99025.5b
https://link.springer.com/article/10.1023/B%3AFAIA.0000034046.99025.5b
https://link.springer.com/content/pdf/10.1023/B:FAIA.0000034046.99025.5b.pdf

On Spectrum of a General Petrovsky Type Equation and Riesz Basis of N-Connected Beams with Linear Feedback at Joints: On spectrum of a general Petrovsky type equation and Riesz basis of \(N\)-connected beams with linear feedback at joints

Autoři: Xue-zhang Hou Yu Xie Bao-Zhu Guo

Zdroj: Journal of Dynamical and Control Systems. 10:187-211

Témata: Control/observation systems governed by partial differential equations, Asymptotic distributions of eigenvalues in context of PDEs, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, characteristic equation, eigenfunctions, \(C_0\)-semigroup, 01 natural sciences, spectral analysis, Riesz basis, linear feedback at joints, asymptotic expansions of eigenvalues, \(N\)-connected beams, Petrovsky-type equation, Stabilization of systems by feedback, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://lsc.amss.ac.cn/~bzguo/papers/jdcs1.pdf
https://zbmath.org/2093310
https://doi.org/10.1023/b:jods.0000024121.92080.f7
https://link.springer.com/article/10.1023/B:JODS.0000024121.92080.f7
http://lsc.amss.ac.cn/~bzguo/papers/jdcs1.pdf

A formal computation of the splitting for the Klein–Gordon operator: A formal computation of the splitting for the Klein-Gordon operator

Autoři: Emmanuelle Servat

Zdroj: Comptes Rendus. Mathématique. 338:657-660

Témata: Transform methods (e.g., integral transforms) applied to PDEs, double-well potential, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, one-dimensional case, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, 0101 mathematics, 01 natural sciences, PDEs in connection with quantum mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S1631073X04000858
https://www.infona.pl/resource/bwmeta1.element.elsevier-49671458-f315-36bd-9f67-ba82dbb971b6

Root Vectors for Geometrically Simple Multiparameter Eigenvalues: Root vectors for geometrically simple multiparameter eigenvalues

Autoři: Tomaž Košir

Zdroj: Integral Equations and Operator Theory. 48:365-396

Témata: root vectors, simple eigenvalues, eigenvalues of Fredholm type, Several-variable operator theory (spectral, Fredholm, etc.), multiparameter eigenvalue problems, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s00020-002-1185-9
https://link.springer.com/content/pdf/10.1007/s00020-002-1185-9.pdf

On the Uniform Convergence and Basis Property of the Means of Spectral Expansions Corresponding to Elliptic Pseudodifferential Operators for Continuous Functions in the Liouville and Nikolskii–Besov Classes: On the uniform convergence and basis property of the means of spectral expansions corresponding to elliptic pseudodifferential operators for continuous functions in the Liouville and Nikolskij-Besov classes

Autoři: Sh. G. Kasimov

Zdroj: Differential Equations. 40:456-460

Témata: spectral expansion, elliptic positive selfadjoint pseudodifferential operator, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Pseudodifferential operators as generalizations of partial differential operators, Riesz means, Pseudodifferential operators, spectral function, 0101 mathematics, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2176629
https://doi.org/10.1023/b:dieq.0000035783.04269.64
https://link.springer.com/article/10.1023/B:DIEQ.0000035783.04269.64

An expansion theorem for regular elliptic eigenvalue problem with eigenvalue parameter in the boundary conditions: An expansion theorem for regular elliptic eigenvalue problem with eigenvalue parameter in the boundary conditions.

Autoři: E. M. E. Zayed S. F. M Ibrahim

Zdroj: Applied Mathematics and Computation. 150:45-57

Témata: multiply connected bounded domain, Boundary value problems for second-order elliptic equations, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, eigenfunction expansion, essentially self-adjoint operator, 0101 mathematics, elliptic eigenvalue problem, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0096300303001966

Root vectors for geometrically simple two-parameter eigenvalues

Autoři: Paul Binding Tomaž Košir

Zdroj: Transactions of the American Mathematical Society. 356:1705-1726

Témata: unbounded operators, Several-variable operator theory (spectral, Fredholm, etc.), basis, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, two-parameter boundary value problems of Sturm-Liouville type, Systems of elliptic equations, boundary value problems, root subspace, 0101 mathematics, Fredholm eigenvalue, 01 natural sciences, non selfadjoint operators

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/tran/2004-356-05/S0002-9947-04-03542-1/S0002-9947-04-03542-1.pdf
http://www.fmf.uni-lj.si/~kosir/papers/Binkos2.pdf
https://www.ams.org/tran/2004-356-05/S0002-9947-04-03542-1/S0002-9947-04-03542-1.pdf
https://www.ams.org/journals/tran/2004-356-05/S0002-9947-04-03542-1/home.html
https://link.springer.com/article/10.1007/s00020-002-1185-9
https://www.fmf.uni-lj.si/~kosir/papers/Binkos2.pdf
https://link.springer.com/content/pdf/10.1007%2Fs00020-002-1185-9.pdf

Eigenstructure of the equilateral triangle. Part III. The Robin problem: Eigenstructure of the equilateral triangle. III: The Robin problem

Autoři: Brian J. McCartin

Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 16, Pp 807-825 (2004)

Témata: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, QA1-939, 0101 mathematics, 01 natural sciences, Mathematics, Solutions to PDEs in closed form

Popis souboru: application/xml

Přístupová URL adresa: https://downloads.hindawi.com/journals/ijmms/2004/372012.pdf
https://zbmath.org/2168647
https://doi.org/10.1155/s0161171204306125
https://doaj.org/article/e101a45dbf3941499e3746a451d0143e

A Sufficient Condition on Riesz Basis with Parentheses of Non--Self-Adjoint Operator and Application to a Serially Connected String System under Joint Feedbacks: A sufficient condition on Riesz basis with parentheses of non--self-adjoint operator and application to a serially connected string system under joint feedbacks

Autoři: Yu Xie Bao-Zhu Guo

Zdroj: SIAM Journal on Control and Optimization. 43:1234-1252

Témata: Linear symmetric and selfadjoint operators (unbounded), string equation, Control/observation systems governed by partial differential equations, \(C_0\)-group, completeness, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Stabilization of systems by feedback, 0101 mathematics, Applications of operator theory in systems, signals, circuits, and control theory, 01 natural sciences, Riesz basis, function of exponentials

Popis souboru: application/xml

Inverse problem for a perturbed stratified strip in two dimensions

Autoři: Patricia Gaitan Michel Cristofol

Zdroj: Mathematical Methods in the Applied Sciences. 27:1-17

Témata: Inverse problems for PDEs, perturbed stratified strip, Inverse problems for waves in solid mechanics, General theory of partial differential operators, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Hydro- and aero-acoustics, uniqueness, Inverse problems in geophysics, 01 natural sciences, inverse ocean acoustics, wave operator, Boundary value problems for second-order elliptic equations, Wave equation, generalized eigenfunction pattern, inverse scattering problem, 0101 mathematics, horizontal stratification

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2041196
https://doi.org/10.1002/mma.426
https://ui.adsabs.harvard.edu/abs/2004MMAS...27....1C/abstract