An inexact Matrix-Newton method for solving NEPv: An inexact matrix-Newton method for solving NEPv

Συγγραφείς: Tom Werner

Πηγή: Linear Algebra and its Applications. 721:366-398

Θεματικοί όροι: Nonlinear spectral theory, nonlinear eigenvalue problems, global GMRES, Numerical Analysis (math.NA), 01 natural sciences, Implicit function theorems, global Newton methods on manifolds, Newton's method, Numerical methods for matrix equations, matrix function, nonlinear eigenvalue problem, FOS: Mathematics, Spectral theory, eigenvalue problems on manifolds, Mathematics - Numerical Analysis, 0101 mathematics, self-consistent-field iteration

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2311.09670
https://zbmath.org/8057093
https://doi.org/10.1016/j.laa.2024.11.003

Advances on similarity via transversal intersection of manifolds

Συγγραφείς: Marina Arav, Frank J. Hall, Hein van der Holst, Zhongshan Li, Aram Mathivanan, Jiamin Pan, Hanfei Xu, Zheng Yang

Πηγή: Linear Algebra and its Applications. 721:102-121

Θεματικοί όροι: Eigenvalues, singular values, and eigenvectors, sign pattern matrix, diagonalizability, Canonical forms, reductions, classification, Diagonalization, Jordan forms, eigenvalues, Jacobian matrix, Inverse problems in linear algebra, Implicit function theorems, global Newton methods on manifolds, similarity-transversality property, similarity invariants, nonsymmetric strong spectral property (nSSP), Hermitian, skew-Hermitian, and related matrices, similarity, Sign pattern matrices

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Σύνδεσμος πρόσβασης: https://zbmath.org/8057082
https://doi.org/10.1016/j.laa.2024.05.013

Point-wise characterizations of limits of planar Sobolev homeomorphisms and their quasi-monotonicity

Συγγραφείς: Daniel Campbell

Πηγή: Advances in Calculus of Variations. 18:689-729

Θεματικοί όροι: non-crossing on lines mappings, non-crossing mappings, INV mappings, Approximation in the complex plane, 01 natural sciences, Implicit function theorems, Jacobians, transformations with several variables, Mathematics - Analysis of PDEs, 0103 physical sciences, FOS: Mathematics, monotone mappings, Harmonic maps, etc, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Harmonic, subharmonic, superharmonic functions in two dimensions, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.10639
https://zbmath.org/8076066
https://doi.org/10.1515/acv-2024-0043

Stationary soap film bridge formed by a small electrostatic force

Συγγραφείς: Schmitz, Lina Sophie

Πηγή: Quarterly of Applied Mathematics. 83:533-552

Θεματικοί όροι: Abstract inverse mapping and implicit function theorems involving nonlinear operators, Dynamical Systems (math.DS), stability, electrostatics, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, free boundary problem, Mathematics - Analysis of PDEs, surface tension, FOS: Mathematics, Free boundary problems for PDEs, Mathematics - Dynamical Systems, Stability in context of PDEs, qualitative properties, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2409.18608
https://zbmath.org/8051265
https://doi.org/10.1090/qam/1707

Solvability of nonlinear degenerate equations and estimates for inverse functions

Συγγραφείς: Arutyunov, Aram V., Zhukovskiy, Sergey E.

Πηγή: Sbornik: Mathematics. 216:1-24

Θεματικοί όροι: Implicit function theorems, Jacobians, transformations with several variables, \( \lambda \)-truncation, abnormal point, directional regularity, nonlinear equation with parameter

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Stationary non-radial localized patterns in the planar Swift-Hohenberg PDE: Constructive proofs of existence: Stationary non-radial localized patterns in the planar Swift-Hohenberg PDE: constructive proofs of existence

Συγγραφείς: Matthieu Cadiot, Jean-Philippe Lessard, Jean-Christophe Nave

Πηγή: Journal of Differential Equations. 414:555-608

Θεματικοί όροι: Semilinear elliptic equations, branches of periodic orbits, Swift-Hohenberg PDE, Numerical methods for trigonometric approximation and interpolation, Dynamical Systems (math.DS), computer-assisted proofs, Higher-order elliptic equations, 01 natural sciences, Implicit function theorems, global Newton methods on manifolds, Fixed-point theorems, Mathematics - Analysis of PDEs, Pattern formations in context of PDEs, 0103 physical sciences, FOS: Mathematics, localized stationary planar patterns, Newton-Kantorovich method, Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Dynamical Systems, 0101 mathematics, Banach sequence spaces, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2403.10450
https://zbmath.org/7941667
https://doi.org/10.1016/j.jde.2024.09.015

On the Newton–Kantorovich Scheme for Evolutionary Equations: On the Newton-Kantorovich scheme for evolutionary equations

Συγγραφείς: Dymov, Andrey V., Kuksin, Sergei B.

Πηγή: Proceedings of the Steklov Institute of Mathematics. 327:70-77

Θεματικοί όροι: Newton-Kantorovich scheme, Abstract parabolic equations, Quasilinear parabolic equations, evolutionary equations, Second-order semilinear hyperbolic equations, Abstract hyperbolic equations, Series solutions to PDEs, KAM theory, Implicit function theorems, global Newton methods on manifolds, approximate propagators

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Σύνδεσμος πρόσβασης: https://zbmath.org/8026475
https://doi.org/10.1134/s0081543824060063

The Fučík spectrum for discrete systems and some nonlinear existence theorems

Συγγραφείς: Daniel Maroncelli

Πηγή: Linear Algebra and its Applications. 684:63-86

Θεματικοί όροι: Linear equations (linear algebraic aspects), Eigenvalues, singular values, and eigenvectors, resonance, implicit function theorem, degree theory, Matrix equations and identities, Abstract inverse mapping and implicit function theorems involving nonlinear operators, eigenvalues, variational methods, Implicit function theorems, global Newton methods on manifolds, Fučík spectrum

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Stratified equatorial flows in cylindrical coordinates with surface tension

Συγγραφείς: Cristina Gheorghe, Andrei Stan

Πηγή: Monatshefte für Mathematik. 205:497-509

Θεματικοί όροι: Hydrology, hydrography, oceanography, Geophysical flows, implicit function theorem, Analysis of PDEs, Euler equations, PDEs in connection with fluid mechanics, Capillarity (surface tension) for incompressible inviscid fluids, PDEs in connection with geophysics, azimuthal flows, depth-dependent density, cylindrical coordinates, Stratification effects in inviscid fluids, Implicit function theorems, Jacobians, transformations with several variables, surface tension, FOS: Mathematics, Free boundary problems for PDEs, Coriolis force, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2506.08016
https://zbmath.org/7937509
https://doi.org/10.1007/s00605-024-02007-4

Higher-Order Differentiation and Inverse Function Theorem in Real Normed Spaces: Higher-order differentiation and inverse function theorem in real normed spaces

Συγγραφείς: Kazuhisa Nakasho, Yasunari Shidama

Πηγή: Formalized Mathematics. 32:247-269

Θεματικοί όροι: Derivatives of functions in infinite-dimensional spaces, Formalization of mathematics in connection with theorem provers, vector-valued function, Abstract inverse mapping and implicit function theorems involving nonlinear operators, inverse function theorem, higher-order derivative, real normed space

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Σύνδεσμος πρόσβασης: https://zbmath.org/8057677
https://doi.org/10.2478/forma-2024-0021

APPLICATIONS OF λ-TRUNCATIONS TO THE STUDY OF LOCAL AND GLOBAL SOLVABILITY OF NONLINEAR EQUATIONS: Applications of \(\lambda \)-truncations to the study of local and global solvability of nonlinear equations

Συγγραφείς: Arutyunov, Aram Vladimirovich, Zhukovskiy, Sergey Evgenyevich

Πηγή: Eurasian Mathematical Journal. 15:23-33

Θεματικοί όροι: Implicit function theorems, Jacobians, transformations with several variables, \( \lambda \)-truncation, Abstract inverse mapping and implicit function theorems involving nonlinear operators, abnormal point, stability, inverse function

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Σύνδεσμος πρόσβασης: https://zbmath.org/7845760
https://doi.org/10.32523/2077-9879-2024-15-1-23-33

Stability of Real Solutions to Nonlinear Equations and Its Applications: Stability of real solutions to nonlinear equations and its applications

Συγγραφείς: Arutyunov, A. V., Zhukovskiy, S. E.

Πηγή: Proceedings of the Steklov Institute of Mathematics. 323:1-11

Θεματικοί όροι: 2-regularity, Implicit function theorems, Jacobians, transformations with several variables, necessary minimum condition, Abstract inverse mapping and implicit function theorems involving nonlinear operators, \( \lambda \)-truncated mappings, nonlinear equation, directionally regular \(\lambda \)-truncation

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Σύνδεσμος πρόσβασης: https://zbmath.org/7814406
https://doi.org/10.1134/s0081543823050012

A local surjection theorem with continuous inverse in Banach spaces

Συγγραφείς: Ivar Ekeland, Éric Séré

Πηγή: Rendiconti Lincei, Matematica e Applicazioni. 35:1-15

Θεματικοί όροι: Mathematics - Functional Analysis, 47J07, loss of derivatives, Nash-Moser, Abstract inverse mapping and implicit function theorems involving nonlinear operators, FOS: Mathematics, Ekeland's variational principle, inverse function theorem, Functional Analysis (math.FA)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2309.16906

Stability of Minima in Constrained Optimization Problems and Implicit Function Theorem: Stability of minima in constrained optimization problems and implicit function theorem

Συγγραφείς: Aram V. Arutyunov, Kirill A. Tsarkov, Sergey E. Zhukovskiy

Πηγή: Journal of Optimization Theory and Applications. 203:1293-1308

Θεματικοί όροι: implicit function theorem, Applications of functional analysis in optimization, convex analysis, mathematical programming, economics, Abstract inverse mapping and implicit function theorems involving nonlinear operators, stability of solutions, Sensitivity, stability, well-posedness, constrained optimisation, Optimality conditions for problems in abstract spaces, parameterised extremal problem

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Fixed points of multivalued contractions in Hausdorff controlled metric spaces with applications

Συγγραφείς: Supak Phiangsungnoen

Πηγή: Mathematical Methods in the Applied Sciences. 47:13424-13436

Θεματικοί όροι: \((\beta^\ast, \xi)\)-contraction, \((\beta_\ast, \mathcal{W}(\zeta, \xi))\)-multivalued mapping, fixed point, Fixed-point and coincidence theorems (topological aspects), \(\beta^\ast\)-admissible mappings, Abstract inverse mapping and implicit function theorems involving nonlinear operators, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Hausdorff controlled metric space, polynomial equations, 0101 mathematics, 01 natural sciences, Fixed-point iterations

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The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs

Συγγραφείς: Helmut Harbrecht, Marc Schmidlin, Christoph Schwab

Πηγή: Mathematical Models and Methods in Applied Sciences, 34 (5)

Θεματικοί όροι: Semilinear elliptic equations, Implicit mappings, uncertainty quantification, Abstract inverse mapping and implicit function theorems involving nonlinear operators, implicit mappings, parametric regularity, Numerical Analysis (math.NA), 01 natural sciences, Mathematics - Analysis of PDEs, FOS: Mathematics, 35B30, 35J61, 47J07, semilinear elliptic PDEs, Mathematics - Numerical Analysis, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Analysis of PDEs (math.AP)

Περιγραφή αρχείου: application/xml; application/application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2310.01256
http://hdl.handle.net/20.500.11850/666889

On the area-preserving Willmore flow of small bubbles sliding on a domain’s boundary: On the area-preserving Willmore flow of small bubbles sliding on a domain's boundary

Συγγραφείς: Jan-Henrik Metsch

Πηγή: Advances in Calculus of Variations. 17:1445-1486

Θεματικοί όροι: Mathematics - Differential Geometry, Initial-boundary value problems for nonlinear higher-order PDEs, Primary: 53E40, Secondary: 35G31, 47J07, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), area-preserving Willmore flow, Abstract inverse mapping and implicit function theorems involving nonlinear operators, FOS: Mathematics, Higher-order geometric flows, 0101 mathematics, 01 natural sciences, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2203.12956
https://zbmath.org/7930855
https://doi.org/10.1515/acv-2023-0023

On the injectivity of mean value mappings between quadrilaterals

Συγγραφείς: Michael S. Floater, Georg Muntingh

Πηγή: Advances in Computational Mathematics. 51

Θεματικοί όροι: 65D17, 26B10, Computer-aided design (modeling of curves and surfaces), Implicit function theorems, Jacobians, transformations with several variables, Numerical Analysis, mean value coordinates, FOS: Mathematics, Jacobian determinant, Numerical Analysis (math.NA), barycentric mapping, injectivity

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2407.00422
https://zbmath.org/8080244
https://doi.org/10.1007/s10444-025-10246-8

Periodic Travelling Wave Solutions in a Two-Species Chemotaxis Model with Time Delay Effect: Periodic travelling wave solutions in a two-species chemotaxis model with time delay effect

Συγγραφείς: Li, Dong, Tan, Nengxing, Wu, Xiaxia

Πηγή: Bulletin of the Malaysian Mathematical Sciences Society. 48

Θεματικοί όροι: Population dynamics (general), Reaction-diffusion equations, perturbation method, Abstract inverse mapping and implicit function theorems involving nonlinear operators, periodic travelling wave solutions, two-species chemotaxis model, Periodic solutions to functional-differential equations, Traveling wave solutions

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Weak limits of Sobolev homeomorphisms are one to one almost everywhere

Συγγραφείς: Ondřej Bouchala, Stanislav Hencl, Zheng Zhu

Πηγή: Calculus of Variations and Partial Differential Equations. 64

Θεματικοί όροι: Implicit function theorems, Jacobians, transformations with several variables, Special properties of functions of several variables, Hölder conditions, etc, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems

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