Výsledky vyhľadávania - completeness of eigenfunctions and eigenfunction expansions in context of des*

Two-component eigenfunction expansion for open systems described by the wave equation I: completeness of expansion: Two-component eigenfunction expansion for open systems described by the wave equation. I: Completeness of expansion

Autori: K. Young S S Tong P T Leung

Zdroj: Journal of Physics A: Mathematical and General. 30:2139-2151

Predmety: non-Hermitian, non-conservative systems, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 0103 physical sciences, Quantum equilibrium statistical mechanics (general), spatial discontinuities, 01 natural sciences, quasinormal modes

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1299713
https://doi.org/10.1088/0305-4470/30/6/034
http://iopscience.iop.org/article/10.1088/0305-4470/30/6/034/pdf
http://ui.adsabs.harvard.edu/abs/1997JPhA...30.2139L/abstract
https://iopscience.iop.org/article/10.1088/0305-4470/30/6/034/meta
http://iopscience.iop.org/article/10.1088/0305-4470/30/6/034/meta
https://iopscience.iop.org/article/10.1088/0305-4470/30/6/034/pdf

Two-component eigenfunction expansion for open systems described by the wave equation II: linear space structure: Two-component eigenfunction expansion for open systems described by the wave equation. II: Linear space structure

Autori: P T Leung K. Young S S Tong

Zdroj: Journal of Physics A: Mathematical and General. 30:2153-2162

Predmety: mutually orthogonal, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 0103 physical sciences, time-evolution operator, Quantum equilibrium statistical mechanics (general), time-independence perturbation theory, 01 natural sciences, quasinormal modes

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1299714
https://doi.org/10.1088/0305-4470/30/6/035
http://iopscience.iop.org/article/10.1088/0305-4470/30/6/035/meta
https://ui.adsabs.harvard.edu/abs/1997JPhA...30.2153L/abstract
https://iopscience.iop.org/article/10.1088/0305-4470/30/6/035
https://iopscience.iop.org/article/10.1088/0305-4470/30/6/035/pdf

Critères de Complétude des Vecteurs Propres Généralisés d'une Classe d'Opérateurs Non Auto-adjoints Compacts ou à Résolvante Compacte et Applications: Critères de complétude des vecteurs propres généralisés d'une classe d'opérateurs non auto-adjoints compacts ou à résolvante compacte et applications

Autori: Jean Martin Paoli Abdelkader Intissar Marie-Thérèse Aimar

Zdroj: Publications of the Research Institute for Mathematical Sciences. 32:191-205

Predmety: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), General theory of partial differential operators, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, compact resolvent, denseness of the generalized eigenvectors, self adjoint operators, field theory, abstract second order differential equations, 01 natural sciences, Linear symmetric and selfadjoint operators (unbounded), Eigenvalue problems for linear operators, Linear operators defined by compactness properties, Spectrum, resolvent, 0101 mathematics, (Generalized) eigenfunction expansions of linear operators, rigged Hilbert spaces

Popis súboru: application/xml

Prístupová URL adresa: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=32&iss=2&rank=1
https://zbmath.org/927846
https://doi.org/10.2977/prims/1195162962
http://ci.nii.ac.jp/naid/130003585344
https://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=32&iss=2&rank=1
https://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=32&iss=2&rank=1

Study of generalized eigenfunctions of a perturbed isotropic elastic half-space

Autori: Yves Dermenjian Patricia Gaitan

Zdroj: Mathematical Methods in the Applied Sciences. 23:685-708

Predmety: Perturbation theory of linear operators, 4. Education, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, propagation of elastic waves, boundary integral equations method, free boundary condition, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical methods for integral equations, Green's function

Popis súboru: application/xml

Prístupová URL adresa: https://ui.adsabs.harvard.edu/abs/2000MMAS...23..685D/abstract
https://onlinelibrary.wiley.com/doi/10.1002/(SICI)1099-1476(20000525)23:8%3C685::AID-MMA109%3E3.0.CO;2-I

Eigenfunction expansions for the equations of crystal optics in a half-space: Eigenfunction expansions for the equations of crystal optics in a half- space

Autori: David S. Gilliam

Zdroj: Journal of Mathematical Analysis and Applications. 76:600-622

Predmety: equations of crystal optics, Partial differential equations of mathematical physics and other areas of application, Applied Mathematics, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, perturbation of Maxwell's equations, generalized eigenfunctions, Maxwell system, 0101 mathematics, surface waves, 01 natural sciences, Statistical mechanics of crystals, eigenfunction expansions, Analysis

Popis súboru: application/xml

Prístupová URL adresa: https://www.sciencedirect.com/science/article/pii/0022247X80900499
https://www.sciencedirect.com/science/article/abs/pii/0022247X80900499

Completeness of root vectors for a Douglis-Nirenberg elliptic problem with an indefinite weight in Lp spaces: Completeness of root vectors for a Douglis-Nirenberg elliptic problem with an indefinite weight in \(L_p\) spaces

Autori: Mamadou Sango

Zdroj: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 326:703-708

Predmety: transmission problem, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Systems of elliptic equations, boundary value problems, 0101 mathematics, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1220869
https://doi.org/10.1016/s0764-4442(98)80034-7
https://ui.adsabs.harvard.edu/abs/1998CRASM.326..703S/abstract
https://www.sciencedirect.com/science/article/pii/S0764444298800347

Asymptotic Completeness for Multiparticle Dispersive Charge Transfer Models: Asymptotic completeness for multiparticle dispersive charge transfer models

Autori: Lech Zielinski

Zdroj: Journal of Functional Analysis. 150:453-470

Predmety: motions of a light quantum particle, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, heavy particles, eigenvectors, 0101 mathematics, 01 natural sciences, Analysis, PDEs in connection with quantum mechanics, Selfadjoint operator theory in quantum theory, including spectral analysis, Hamiltonian

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1098591
https://doi.org/10.1006/jfan.1997.3119
https://www.sciencedirect.com/science/article/pii/S0022123697931190
https://core.ac.uk/display/82678610

Complétude asymptotique pour l'équation des ondes dans une classe d'espaces-temps stationnaires et asymptotiquement plats. (Asymptotic completeness for the wave equation in a class of stationary and asymptotically flat space-times)

Autori: Häfner, Dietrich

Predmety: Hyperbolic equations on manifolds, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Spectral problems, spectral geometry, scattering theory on manifolds, Scattering theory for PDEs, Wave equation, PDEs in connection with relativity and gravitational theory, stationary space-times, asymptotic velocity

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1614237

On Riesz means of biorthogonal expansions in the eigenfunctions and associated functions of nonselfadjoint extensions of the Laplace operator

Autori: Salimov, Ya. Sh.

Predmety: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, General theory of partial differential operators, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, (Generalized) eigenfunction expansions of linear operators, rigged Hilbert spaces, Riesz means of biorthogonal expansions in the eigenfunctions and associated functions of nonselfadjoint extensions of the Laplace operator

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/3986006

The Characteristic Spectrum of the Reduced Wave Equation with Periodic Coefficients in the Three-Dimensional Space: The characteristic spectrum of the reduced wave equation with periodic coefficients in the three-dimensional space

Autori: V. I. Derguzov I. V. Denisova

Zdroj: Journal of Mathematical Sciences. 105:2377-2397

Predmety: orthonormal system of eigenfunctions, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Boundary value problems for second-order elliptic equations, indefinite scalar product, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, General topics in linear spectral theory for PDEs, 0101 mathematics, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1710223
https://link.springer.com/article/10.1023/A%3A1011365213207

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

Autori: Alexandrov, O CIRAOLO, Giulio

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

Predmety: 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 súboru: application/xml; application/pdf

Prístupová 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

Inverse problem for a perturbed stratified strip in two dimensions

Autori: Patricia Gaitan Michel Cristofol

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

Predmety: 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 súboru: application/xml

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

Macroscopic current induced boundary conditions for Schrödinger-type operators: Macroscopic current induced boundary conditions for Schrödinger-type operators.

Autori: Kaiser, Hans-Christoph Neidhardt, Hagen Rehberg, Joachim

Zdroj: Integral Equations and Operator Theory. 45:39-63

Predmety: Perturbation theory of linear operators, non-selfadjoint Schrödinger-type operator, Perturbation theories for operators and differential equations in quantum theory, Linear accretive operators, dissipative operators, etc, 01 natural sciences, 47B44, spectral properties, 03.65.Db, open quantum systems, 0101 mathematics, spectral asymptotics, ddc:510, non-selfadjoint Hamiltonian, dissipative operators, ddc:530, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, article, Abel basis of root vectors, 81Q15, non-selfadjoint Schrödinger-type operator -- spectral asymptotics -- Abel basis of root vectors -- dissipative operators -- open quantum systems, 47A55, 35P10, 03.65.Yz, macroscopic flow

Popis súboru: application/xml

Prístupová URL adresa: https://www.wias-berlin.de/publications/wias-publ/run.jsp?lang=1&template=abstract&type=Preprint&year=2001&number=650
https://link.springer.com/article/10.1007%2FBF02789593
https://link.springer.com/content/pdf/10.1007/BF02789593.pdf

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

Autori: Dmitry E. Pelinovsky Dmitri Agueev

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

Predmety: 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 súboru: application/xml

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

Riesz Basis Property and Exponential Stability of Controlled Euler--Bernoulli Beam Equations with Variable Coefficients: Riesz basis property and exponential stability of controlled Euler-Bernoulli beam equations with variable coefficients

Autori: Bao-Zhu Guo

Zdroj: SIAM Journal on Control and Optimization. 40:1905-1923

Predmety: spectrum growth, Control/observation systems governed by partial differential equations, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, stability, 01 natural sciences, Riesz basis, asymptotic analysis, viscous friction, Euler-Bernoulli beam, beam equation, Stabilization of systems by feedback, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, nonuniform beam, Eigenvalue problems

Popis súboru: application/xml

Prístupová URL adresa: http://lsc.amss.ac.cn/~bzguo/papers/siam2.pdf
http://lsc.amss.ac.cn/paper-pdf/bzguo-13.pdf
https://epubs.siam.org/doi/abs/10.1137/S0363012900372519
https://dlnext.acm.org/doi/10.1137/S0363012900372519
https://dl.acm.org/doi/10.1137/S0363012900372519
https://locus.siam.org/doi/abs/10.1137/S0363012900372519

On the distribution of Eigenvalues of Schr�dinger operators: On the distribution of eigenvalues of Schrödinger operators

Autori: William Desmond Evans D. E. Edmunds

Zdroj: Archive for Rational Mechanics and Analysis. 89:135-167

Predmety: Schrödinger operator, essential spectrum, Schrödinger operator, Schrödinger equation, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 0103 physical sciences, 0101 mathematics, selfadjoint realizations, lower bound, 01 natural sciences, Neumann condition

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/3910868
https://doi.org/10.1007/bf00282329
https://link.springer.com/10.1007/BF00282329
http://ui.adsabs.harvard.edu/abs/1985ArRMA..89..135E/abstract
https://link.springer.com/article/10.1007/BF00282329

On completeness of a system of generalized eigenfunctions of an operator generated by the first boundary value problem for an equation of S. L. Sobolev

Autori: Lyashenko, A. A.

Predmety: Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, generalized eigenfunctions, solutions of the Cauchy problem for Sobolev's equation, Parseval's formula, PDEs in connection with quantum mechanics

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/220066

Long-Time Behaviour of the Solutions for the Multidimensional Kolmogorov-Spieqel-Sivashinsky Equation: Long-time behaviour of the solutions for the multidimensional Kolmogorov-Spiegel-Sivashinsky equation

Autori: Bo Ling Guo Bixiang Wang

Zdroj: Acta Mathematica Sinica. 18:579-596

Predmety: Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems, Inertial manifolds, approximate inertial manifolds, Asymptotic behavior of solutions to PDEs, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, 0103 physical sciences, Nonlinear parabolic equations, Attractors, Initial-boundary value problems for higher-order parabolic equations, 0101 mathematics, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, periodic boundary conditions, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://link.springer.com/article/10.1007/s10114-002-0195-5

Solving large nonlinear generalized eigenvalue problems from Density Functional Theory calculations in parallel: Solving large nonlinear generalized eigenvalue problems from density functional theory calculations in parallel

Autori: Claus Bendtsen Lars Bruno Hansen O. H. Nielsen

Zdroj: Applied Numerical Mathematics. 37:189-199

Predmety: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, self-consistent field, Condensed Matter - Materials Science, eigensolution, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, Parallel numerical computation, 01 natural sciences, Atomic physics, Numerical solution of nonlinear eigenvalue and eigenvector problems, iterative Davidson algorithm, large eigenvalue problems, quantum mechanical ground state of electrons, nonlinear matrix eigenproblem, 0101 mathematics, parallel computation, density functional theory, PDEs in connection with quantum mechanics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/pdf/cond-mat/0011107
http://arxiv.org/abs/cond-mat/0011107
https://www.sciencedirect.com/science/article/abs/pii/S0168927400000386#!
https://orbit.dtu.dk/en/publications/solving-large-nonlinear-generalized-eigenvalue-problems-from-density-functional-theory-calculations-in-parallel(415e2d0c-e471-4d24-aaf0-089e6598b558).html
https://www.sciencedirect.com/science/article/pii/S0168927400000386

Useful Bases for Problems in Nuclear and Particle Physics: Useful bases for problems in nuclear and particle physics

Autori: B. D. Keister Wayne Polyzou

Zdroj: Journal of Computational Physics. 134:231-235

Predmety: wave function, Nuclear Theory, harmonic-oscillator basis, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Nuclear physics, FOS: Physical sciences, 01 natural sciences, quarks, Nuclear Theory (nucl-th), High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Applications to the sciences, nuclear physics, 0103 physical sciences, Other elementary particle theory in quantum theory, particle physics, eigenfunction expansions, Fourier-Bessel transforms, PDEs in connection with quantum mechanics, orthonormal basis functions, quark-antiquark pair

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/pdf/nucl-th/9611049
http://arxiv.org/abs/nucl-th/9611049
https://zbmath.org/1067821
https://doi.org/10.1006/jcph.1997.5688
https://arxiv.org/abs/nucl-th/9611049
https://arxiv.org/pdf/nucl-th/9611049
https://core.ac.uk/display/22203691
https://ui.adsabs.harvard.edu/abs/1997JCoPh.134..231K/abstract
https://www.sciencedirect.com/science/article/pii/S0021999197956886