Suchergebnisse - "Variational methods for eigenvalues of operators"

The Quantitative Isoperimetric Inequality for the Hilbert–Schmidt Norm of Localization Operators: The quantitative isoperimetric inequality for the Hilbert-Schmidt norm of localization operators

Autoren: Nicola, Fabio Riccardi, Federico

Quelle: Journal of Fourier Analysis and Applications. 31

Schlagwörter: Signal theory (characterization, reconstruction, filtering, etc.), Short-time Fourier transform, Time-frequency localization operator, Uncertainty principle, Quantitative estimate, uncertainty principle, time-frequency localization operator, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Mathematics - Classical Analysis and ODEs, short-time Fourier transform, Variational problems in a geometric measure-theoretic setting, quantitative estimate, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Variational methods for eigenvalues of operators, 42B10, 49Q20, 49R05, 81S30, 94A12

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2401.04659
https://zbmath.org/8034234
https://doi.org/10.1007/s00041-025-10145-y
https://link.springer.com/article/10.1007/s00041-025-10145-y
https://hdl.handle.net/11583/2997223
https://doi.org/10.1007/s00041-025-10145-y

Homological eigenvalues of graph p-Laplacians: Homological eigenvalues of graph \(p\)-Laplacians

Autoren: Zhang, Dong

Quelle: Journal of Topology and Analysis. 17:555-606

Schlagwörter: Nonlinear spectral theory, nonlinear eigenvalue problems, min-max principle, homological critical value, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, 0102 computer and information sciences, \(p\)-Laplacian, 01 natural sciences, Persistent homology and applications, topological data analysis, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, zonotope, FOS: Mathematics, 47J10, 39A12, 49R05, 58E05, 55N31, 47H04, simplicial complex, Mathematics - Combinatorics, Discrete version of topics in analysis, Combinatorics (math.CO), 0101 mathematics, Set-valued operators, Spectral Theory (math.SP), Variational methods for eigenvalues of operators, variational eigenvalue, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2110.06054

A semi-definite optimization method for maximizing the shared band gap of topological photonic crystals

Autoren: Kao, Chiu-Yen Lin, Junshan Osting, Braxton

Quelle: Journal of Computational Physics. 521:113538

Schlagwörter: periodic structure, Numerical optimization and variational techniques, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, FOS: Physical sciences, General topics in linear spectral theory for PDEs, PDE constrained optimization (numerical aspects), 01 natural sciences, topological photonic crystal, spectral bandgap, Optimization and Control (math.OC), 0103 physical sciences, FOS: Mathematics, Semidefinite programming, Waves and radiation in optics and electromagnetic theory, optimal design, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, Mathematics - Optimization and Control, Variational methods for eigenvalues of operators, Physics - Optics, Optics (physics.optics)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2407.19699

Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold

Autoren: Lamboley, Jimmy Sicbaldi, Pieralberto

Weitere Verfasser: Lamboley, Jimmy Sicbaldi, Pieralberto

Quelle: Journal de Mathématiques Pures et Appliquées. 141:137-183

Schlagwörter: isoperimetric problems, 49Q10, Elliptic equations on manifolds, general theory, Estimates of eigenvalues in context of PDEs, 53C21, Methods of global Riemannian geometry, including PDE methods, curvature restrictions, 01 natural sciences, Geometrical methods for optimization problems in solid mechanics, Mathematics - Analysis of PDEs, Shape optimization, Laplace-Beltrami operator, FOS: Mathematics, [MATH.MATH-MG] Mathematics [math]/Metric Geometry [math.MG], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, Mathematics - Optimization and Control, Riemannian manifold, 74P20, Rieman- nian manifold, isoperimetric problems MCS codes: 35P05, Optimization of shapes other than minimal surfaces, regularity of free boundaries, Optimization and Control (math.OC), shape optimization, Free boundary problems for PDEs, 49R50, first eigenvalue, Faber-Krahn profile, Variational methods for eigenvalues of operators, 35R35, first Dirichlet eigenvalue, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://www.sciencedirect.com/science/article/am/pii/S0021782420301045
http://arxiv.org/abs/1907.08159
https://hal.archives-ouvertes.fr/hal-02283353/document
https://hal-amu.archives-ouvertes.fr/hal-02283353v2
https://hal.archives-ouvertes.fr/hal-02283353v2
https://www.sciencedirect.com/science/article/pii/S0021782420301045

Evolution of geometric constant evolving along extended Ricci flow

Autoren: Shahroud Azami

Quelle: Asian-European Journal of Mathematics. 16

Schlagwörter: extended Ricci flow, Riemannian manifold, variation formula, Ricci flows, 0101 mathematics, 01 natural sciences, Variational methods for eigenvalues of operators

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7955560
https://doi.org/10.1142/s1793557123500900

A heuristic method for a congested capacitated transit assignment model with strategies

Autoren: Codina Sancho, Esteve Rosell Camps, Francisca Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa et al.

Weitere Verfasser: Codina Sancho, Esteve Rosell Camps, Francisca Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa et al.

Quelle: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

Schlagwörter: 49R50 Variational methods for eigenvalues of operators [optimization], Congested transit assignment, Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat, Matemàtiques i estadística::Investigació operativa::Programació matemàtica [Àrees temàtiques de la UPC], mathematical programming::90C Mathematical programming, 0211 other engineering and technologies, 90 Operations research, mathematical programming::90C Mathematical programming [Classificació AMS], 02 engineering and technology, Numerical analysis--Simulation methods, Classificació AMS::49 Calculus of variations and optimal control, optimization::49R50 Variational methods for eigenvalues of operators, 0502 economics and business, Programació (Matemàtica), Matemàtiques i estadística::Probabilitat [Àrees temàtiques de la UPC], Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Programació matemàtica, 65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations [Classificació AMS], policy - congestion, Càlcul de variacions, Anàlisi numèrica, Classificació AMS::90 Operations research, Programming (Mathematics), Strategy-based transit equilibrium, 05 social sciences, operations - capacity, simulation and stochastic differential equations, operations - performance, Variational inequalities, Classificació AMS::90 Operations research, mathematical programming::90C Mathematical programming, Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations, 49 Calculus of variations and optimal control [Classificació AMS], planning - methods, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica, Matemàtiques i estadística::Anàlisi matemàtica [Àrees temàtiques de la UPC], Classificació AMS::65 Numerical analysis::65C Probabilistic methods, Heuristic methods, Calculus of variations

Dateibeschreibung: application/pdf

Zugangs-URL: http://hdl.handle.net/2117/114685
http://www.sciencedirect.com/science/article/pii/S0191261517303211
https://core.ac.uk/display/157808711
https://ideas.repec.org/a/eee/transb/v106y2017icp293-320.html
https://upcommons.upc.edu/handle/2117/114685
https://upcommons.upc.edu/bitstream/2117/114685/4/VI2TB-84-bounds%2b-DRAC.pdf
https://www.sciencedirect.com/science/article/pii/S0191261517303211
https://hdl.handle.net/2117/114685
https://doi.org/10.1016/j.trb.2017.07.008

Finding the First Nodal Line of a Convex Domain: Finding the first nodal line of a convex domain

Autoren: David Jerison

Quelle: The Journal of Fourier Analysis and Applications ISBN: 9780429332838

Schlagwörter: Boundary value and inverse problems for harmonic functions in two dimensions, convex domain, nodal line, General topics in linear spectral theory for PDEs, Variational methods for eigenvalues of operators, Dirichlet problem

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1115820
https://www.taylorfrancis.com/books/e/9780429332838/chapters/10.1201/9780429332838-16

Effective Shape Optimization of Laplace Eigenvalue Problems Using Domain Expressions of Eulerian Derivatives: Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives

Autoren: Shengfeng Zhu

Quelle: Journal of Optimization Theory and Applications. 176:17-34

Schlagwörter: Galerkin finite element, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, shape functional, shape gradient, shape optimization, eigenvalue, Eulerian derivative, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Existence theories for optimal control problems involving partial differential equations, 0101 mathematics, 01 natural sciences, Variational methods for eigenvalues of operators

Dateibeschreibung: application/xml

Zugangs-URL: https://econpapers.repec.org/article/sprjoptap/v_3a176_3ay_3a2018_3ai_3a1_3ad_3a10.1007_5fs10957-017-1198-9.htm
https://link.springer.com/article/10.1007/s10957-017-1198-9
https://doi.org/10.1007/s10957-017-1198-9
https://dblp.uni-trier.de/db/journals/jota/jota176.html#Zhu18

Shape optimization for the eigenfrequency of the plate

Autoren: Yusif S. Gasimov Natavan A. Allahverdiyeva

Quelle: Georgian Mathematical Journal. 25:19-24

Schlagwörter: clamped plate, support function, Optimization of shapes other than minimal surfaces, Methods involving semicontinuity and convergence, relaxation, domain variation, shape optimization, eigenvalue problem, 0101 mathematics, 01 natural sciences, Variational methods for eigenvalues of operators, eigenfrequency

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/6857514
https://doi.org/10.1515/gmj-2017-0005
http://www.degruyter.com/downloadpdf/j/gmj.2018.25.issue-1/gmj-2017-0005/gmj-2017-0005.xml

A phase field method based on multi-level correction for eigenvalue topology optimization

Autoren: Meizhi Qian Xindi Hu Shengfeng Zhu

Quelle: Computer Methods in Applied Mechanics and Engineering. 401:115646

Schlagwörter: Numerical optimization and variational techniques, phase field method, Finite element methods applied to problems in solid mechanics, 0211 other engineering and technologies, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, eigenvalue optimization, Optimization of shapes other than minimal surfaces, finite element, Optimization of other properties in solid mechanics, multi-level correction, 0101 mathematics, Variational methods for eigenvalues of operators, topology optimization

Dateibeschreibung: application/xml

Spectral optimization problems

Autoren: BUTTAZZO, GIUSEPPE

Quelle: Revista Matemática Complutense. 24:277-322

Schlagwörter: optimality conditions, capacity, calculus of variations, Estimates of eigenvalues in context of PDEs, 01 natural sciences, integral functionals, Boundary value problems for second-order elliptic equations, relaxation, MAT/05 - Analisi matematica, Optimization and Control (math.OC), Sobolev spaces, shape optimization, Variational problems in a geometric measure-theoretic setting, Eigenvalue problems for linear operators, FOS: Mathematics, optimization problems for eigenvalues, 0101 mathematics, Mathematics - Optimization and Control, 49J45, 49R05, 35P15, 47A75, 35J25, Variational methods for eigenvalues of operators

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/1012.3299
http://arxiv.org/abs/1012.3299
https://zbmath.org/5968174
https://doi.org/10.1007/s13163-011-0066-7
https://documat.unirioja.es/servlet/articulo?codigo=3783614
https://dipmat.univpm.it/odays/files/slides/Buttazzo.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=3783614
https://core.ac.uk/display/80204158
http://eprints.adm.unipi.it/1325/
https://cvgmt.sns.it/media/doc/paper/704/santalo.pdf
https://hdl.handle.net/11568/144101
https://doi.org/10.1007/s13163-011-0066-7

On Weakly Formulated Sylvester Equations and Applications

Autoren: Luka Grubišić Krešimir Veselić

Quelle: Integral Equations and Operator Theory. 58:175-204

Schlagwörter: Mathematics - Spectral Theory, variational methods for eigenvalues of operators, eigenvalues, FOS: Mathematics, eigenvectors, perturbation theory, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, Spectral Theory (math.SP), 01 natural sciences

Zugangs-URL: http://arxiv.org/pdf/math/0507532
http://arxiv.org/abs/math/0507532
https://www.bib.irb.hr/224188
https://doi.org/10.1007/s00020-007-1482-4
https://link.springer.com/content/pdf/10.1007/s00020-007-1482-4.pdf
https://doi.org/10.1007/s00020-007-1482-4
https://core.ac.uk/display/36548226
https://link.springer.com/article/10.1007%2Fs00020-007-1482-4
https://arxiv.org/pdf/math/0507532
https://link.springer.com/content/pdf/10.1007/s00020-007-1482-4.pdf
https://www.arxiv-vanity.com/papers/math/0507532/

Shape optimization problems for eigenvalues of elliptic operators

Autoren: BELHACHMI Z. BUCUR D. BUTTAZZO, GIUSEPPE et al.

Weitere Verfasser: BELHACHMI Z. BUCUR D. BUTTAZZO, GIUSEPPE et al.

Quelle: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 86:171-184

Schlagwörter: Optimization of shapes other than minimal surfaces, Laplace operator, Methods involving semicontinuity and convergence, relaxation, shape optimization, eigenvalues, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Estimates of eigenvalues in context of PDEs, finite elements method, 0101 mathematics, 01 natural sciences, Variational methods for eigenvalues of operators

Dateibeschreibung: application/xml

Zugangs-URL: https://arpi.unipi.it/handle/11568/100840
https://hal.archives-ouvertes.fr/hal-00387002
http://ui.adsabs.harvard.edu/abs/2006ZaMM...86..171B/abstract
https://hdl.handle.net/11568/100840
https://doi.org/10.1002/zamm.200510259

On Eigenvalue and Eigenvector Estimates for Nonnegative Definite Operators

Autoren: Luka Grubis caron

Quelle: SIAM Journal on Matrix Analysis and Applications. 28:1097-1125

Schlagwörter: Mathematics - Spectral Theory, estimation of eigenvalues, upper and lower bounds, eigenvalues, Variational methods for eigenvalues of operators, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, Spectral Theory (math.SP), 01 natural sciences, 65F15, 34L15, 35P15, 49R50

Zugangs-URL: http://arxiv.org/pdf/math/0503328
http://arxiv.org/abs/math/0503328

Extended Hardy-Littlewood inequalities and some applications

Autoren: Hichem Hajaiej

Quelle: Transactions of the American Mathematical Society. 357:4885-4896

Schlagwörter: Schwarz symmetrization, regularity, Inequalities for sums, series and integrals, Optimality conditions for problems involving partial differential equations, Hardy-Littlewood inequalities, Lagrange multiplier, 0101 mathematics, elliptic eigenvalue system, 01 natural sciences, Variational methods for eigenvalues of operators

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/tran/2005-357-12/S0002-9947-05-03887-0/S0002-9947-05-03887-0.pdf
https://www.ams.org/tran/2005-357-12/S0002-9947-05-03887-0/S0002-9947-05-03887-0.pdf
https://www.ams.org/tran/2005-357-12/S0002-9947-05-03887-0/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=2204660

On the higher eigenvalues for the $\infty$ -eigenvalue problem: On the higher eigenvalues for the \(\infty\)-eigenvalue problem

Autoren: Peter Lindqvist Petri Juutinen

Quelle: Calculus of Variations and Partial Differential Equations. 23:169-192

Schlagwörter: Pólya conjecture, \(\infty\)-Laplacian, Payne-Pólya-Weinberger conjecture, nodal domains, eigenvalues, Estimates of eigenvalues in context of PDEs, eigenfunctions, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Degenerate elliptic equations, 0101 mathematics, \(p\)-Laplacian, 01 natural sciences, Variational methods for eigenvalues of operators

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/s00526-004-0295-4

Geometric properties of the self-adjoint Sturm–Liouville problems: Geometric properties of the self-adjoint Sturm-Liouville problems

Autoren: Xinhua Zhang

Quelle: Journal of Mathematical Analysis and Applications. 305:91-96

Schlagwörter: variational principle, Applied Mathematics, Infinite-dimensional surface, 01 natural sciences, energy functional, eigenvector, Sturm-Liouville theory, Energy functional, curvature, Principal curvature, eigenvalue, Lines of curvature, 0101 mathematics, Sturm–Liouville problem, Variational methods for eigenvalues of operators, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://ui.adsabs.harvard.edu/abs/2005JMAA..305...91Z/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04008625
https://core.ac.uk/display/82798008
https://www.sciencedirect.com/science/article/pii/S0022247X04008625

Uniqueness of positive solutions for singular problems involving the $p$-Laplacian: Uniqueness of positive solutions for singular problems involving the \(p\)-Laplacian

Autoren: Arkady Poliakovsky Itai Shafrir

Quelle: Proceedings of the American Mathematical Society. 133:2549-2557

Schlagwörter: Dirichlet boundary value problem, \(p\)-Laplace operator, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, quasilinear equation, Nonlinear elliptic equations, 0101 mathematics, 01 natural sciences, Variational methods for eigenvalues of operators, singular potential

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/proc/2005-133-09/S0002-9939-05-07290-4/S0002-9939-05-07290-4.pdf
https://www.ams.org/proc/2005-133-09/S0002-9939-05-07290-4/S0002-9939-05-07290-4.pdf
https://www.ams.org/proc/2005-133-09/S0002-9939-05-07290-4/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=1275565

A Variational Principle in Krein Space II: A variational principle in Krein space. II

Autoren: Branko Najman Paul Binding Rostyslav O. Hryniv

Quelle: Integral Equations and Operator Theory. 51:477-500

Schlagwörter: variational principle, Linear operators on spaces with an indefinite metric, essential spectrum, Eigenvalue problems for linear operators, Krein space, quasi-uniformly positive operators, 0101 mathematics, 01 natural sciences, Variational methods for eigenvalues of operators

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/s00020-005-1349-5

An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift

Autoren: François Hamel Nikolai Nadirashvili Emmanuel Russ

Quelle: Comptes Rendus. Mathématique. 340:347-352

Schlagwörter: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Vibrations in dynamical problems in solid mechanics, Rayleigh-Faber-Krahn inequality, Estimates of eigenvalues in context of PDEs, Dirichlet Laplacian, 0101 mathematics, optimization, 01 natural sciences, Variational methods for eigenvalues of operators

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2153800
https://doi.org/10.1016/j.crma.2005.01.012
https://www.sciencedirect.com/science/article/pii/S1631073X05000361
https://www.sciencedirect.com/science/article/abs/pii/S1631073X05000361
http://www.sciencedirect.com/science/article/pii/S1631073X05000361