Suchergebnisse - local inverse and implicit function theorems

On Inverse and Implicit Function Theorem for Sobolev Mappings

Autoren: Mihai Cristea

Quelle: Axioms, Vol 14, Iss 3, p 195 (2025)

Schlagwörter: local and global univalence, implicit function theorem, Sobolev mappings, Mathematics, QA1-939

Dateibeschreibung: electronic resource

Relation: https://www.mdpi.com/2075-1680/14/3/195; https://doaj.org/toc/2075-1680

Zugangs-URL: https://doaj.org/article/26fa3a90628c4c2cb147210fa3371c6d

Application of Methods of Ordinary Differential Equations to Global Inverse Function Theorems.

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

Quelle: Differential Equations. Apr2019, Vol. 55 Issue 4, p437-448. 12p.

Schlagwörter: *ORDINARY differential equations, *IMPLICIT functions, *INVERSE functions, *HILBERT space

a local inverse for nonlinear mappings: A local inverse for nonlinear mappings

Autoren: Adi Ben-Israel

Quelle: Numerical Algorithms. 25(1):37-46

Schlagwörter: Surfaces in Euclidean and related spaces, Implicit function theorems, Jacobians, transformations with several variables, generalized inverses, Jacobians, Integration of real functions of several variables: length, area, volume, integration, Theory of matrix inversion and generalized inverses, surfaces, matrix volume, Moore-Penrose inverse

Dateibeschreibung: application/xml

Zugangs-URL: https://dblp.uni-trier.de/db/journals/na/na25.html#Ben-Israel00
https://benisrael.net/INVERSE-AMS.pdf
https://link.springer.com/article/10.1023/A:1016698101320
http://ui.adsabs.harvard.edu/abs/2000NuAlg..25...37B/abstract

General forms of inverse and implicit function theorems, treatment closer to intuition through nonstandard techniques

Autoren: Krishna, J. Gopala Devi, M. Usha Sree

Schlagwörter: Nonstandard functional analysis, Derivatives of functions in infinite-dimensional spaces, monad, nonstandard treatment, Nonstandard analysis, uniform differentiability, local inverse and implicit function theorems

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/4086320

The implicit function theorem in a non-Archimedean setting

Autoren: Shamseddine, Khodr Rempel, Trevor Sierens, Todd

Quelle: Indagationes Mathematicae. Mar2011, Vol. 20 Issue 4, p603-617. 15p.

Schlagwörter: Vector spaces, Inverse functions, Implicit functions, Differentiable functions, Cauchy problem, Real numbers, Vector analysis

Counterexamples in scale calculus

Autoren: Filippenko, Benjamin Zhou, Zhengyi Wehrheim, Katrin

Quelle: Proceedings of the National Academy of Sciences of the United States of America. 116(18)

Schlagwörter: scale calculus, inverse function theorem, implicit function theorem, polyfold theory

Dateibeschreibung: application/pdf

Zugangs-URL: https://escholarship.org/uc/item/1vj4m8h4
https://escholarship.org/content/qt1vj4m8h4/qt1vj4m8h4.pdf

Inverse function theorems for Banach spaces in a topos

Autoren: Dubuc, Eduardo J. Zilber, Jorge C.

Schlagwörter: infinitesimal inverse function theorem, Topoi, Abstract inverse mapping and implicit function theorems involving nonlinear operators, synthetic differential geometry, Analytic algebras and generalizations, preparation theorems, local inverse function theorem, Categories, functors in functional analysis, Goursat holomorphic functions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1553296

Sur quelques théorèmes d'inversion locale. (On some local inverse theorems)

Autoren: Chou, Chin Cheng

Schlagwörter: Equations involving nonlinear operators (general), local inverse, Nonsmooth analysis, Set-valued and function-space-valued mappings on manifolds, Set-valued maps in general topology, Implicit function theorems, global Newton methods on manifolds, tangent cone

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/219428

Local inversion theorem for multivalued mappings in Nash-Moser type spaces

Autoren: Mehrez, A.

Schlagwörter: local inverse function, multivalued map, Fréchet space, log-convexity estimates, Implicit function theorems, global Newton methods on manifolds, Nash-Moser type space

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/838856

The Implicit Function Theorem : History, Theory, and Applications

Autoren: Steven G. Krantz Harold R. Parks

Resource Type: eBook.

Schlagworte: Mathematics, Implicit functions

Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Differential Equations / General, MATHEMATICS / Geometry / Differential, MATHEMATICS / History & Philosophy

On the theory of implicit functions in pseudo-topological vector spaces

Autoren: Balabanov, V. A.

Schlagwörter: Derivatives of functions in infinite-dimensional spaces, implicit function theorem, Topological linear spaces and related structures, balanced pseudotopology, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), H-structure, H-open and H-closed linear maps, local inverse function theorems

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3816383

Stochastic quantization of laser propagation models.

Autoren: Sritharan, Sivaguru S. Mudaliar, Saba

Quelle: Infinite Dimensional Analysis, Quantum Probability & Related Topics. Jun2024, Vol. 27 Issue 2, p1-29. 29p.

Schlagwörter: *STOCHASTIC partial differential equations, *IMPLICIT functions, *NONLINEAR Schrodinger equation, *KORTEWEG-de Vries equation, *WHITE noise theory, *RANDOM noise theory, *KERR electro-optical effect, *NONLINEAR wave equations

QUASI-LOCAL CONJUGACY THEOREMS IN BANACH SPACES.

Autoren: Zhang Weirong Ma Jipu

Quelle: Chinese Annals of Mathematics. Oct2005, Vol. 26 Issue 4, p551-558. 8p.

Schlagwörter: *BANACH spaces, *CONJUGACY classes, *NONLINEAR functional analysis, *QUASIANALYTIC functions, *INVERSE functions, *IMPLICIT functions

On local properties of Lipschitz mappings

Autoren: Langenbach, Arno

Schlagwörter: fulfillness, Derivatives of functions in infinite-dimensional spaces, local \(L\)-invertible mapping, implicit function theorem, Equations involving nonlinear operators (general), operators between metric spaces, inverse function theorem, Lipschitz continuous local inverse, Special maps on metric spaces, Banach-Caccioppoli and Minty fixed point principles

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1220803

An Inverse Function Theorem in Sobolev Spaces and Applications to Quasi-Linear Schrödinger Equations: An inverse function theorem in Sobolev spaces and applications to quasi-linear Schrödinger equations

Autoren: Markus Poppenberg

Quelle: Journal of Mathematical Analysis and Applications. 258:146-170

Schlagwörter: loss of derivatives, Derivatives of functions in infinite-dimensional spaces, 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, inverse function theorem of Nash-Moser type, Boundary value problems for second-order elliptic equations, 0103 physical sciences, inverse function theorem, global well posedness, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Cauchy problem, quasi-linear Schrödinger equations, posedness, local well posedness, implicit function theorem, evolution equations, Applied Mathematics, nonlinear evolution equation, semigroup theory, Implicit function theorems, global Newton methods on manifolds, quasi-linear Schrödinger equation, Banach spaces, Sobolev spaces, Nash–Moser, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X00973669
https://www.sciencedirect.com/science/article/pii/S0022247X00973669
https://core.ac.uk/display/82008199

Generalized implicit function theorems when the derivative has no bounded inverse

Autoren: M. Z. Nashed B.D. Craven

Quelle: Nonlinear Analysis: Theory, Methods & Applications. 6:375-387

Schlagwörter: Other nonlinear integral equations, local solvability, approximate right inverse, Equations involving nonlinear operators (general), Nemytskii operator, strong Frechet differentiability, quasi-Newton sequence, strong Hadamard differential, 01 natural sciences, approximate outer inverse, Implicit function theorems, global Newton methods on manifolds, cone inequality, Implicit function theorems, Jacobians, transformations with several variables, implicit function theorem in Banach spaces, bifurcation, Hammerstein integral equations, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3764786
https://doi.org/10.1016/0362-546x(82)90023-2
https://www.sciencedirect.com/science/article/pii/0362546X82900232

Local inversion for differentiable functions and the Darboux property: Local inversion for differentiable functions and the Darboux property.

Autoren: Jean Saint Raymond

Quelle: Mathematika. 49:141-158

Schlagwörter: Darboux property, Implicit function theorems, Jacobians, transformations with several variables, implicit function theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, differentiable functions, 0101 mathematics, local inversion, 01 natural sciences, Implicit function theorems, global Newton methods on manifolds

Dateibeschreibung: application/xml

Zugangs-URL: https://www.cambridge.org/core/journals/mathematika/article/local-inversion-for-differentiable-functions-and-the-darboux-property/5BE7FE09B3537A86F87FBF705E1B20D0
https://dialnet.unirioja.es/servlet/articulo?codigo=868706
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5BE7FE09B3537A86F87FBF705E1B20D0/S0025579300016132a.pdf/div-class-title-local-inversion-for-differentiable-functions-and-the-darboux-property-div.pdf
http://www.journals.cambridge.org/abstract_S0025579300016132

Implicit functions from topological vector spaces to Banach spaces

Autoren: Helge Glöckner The Pennsylvania State University CiteSeerX Archives

Weitere Verfasser: Helge Glöckner The Pennsylvania State University CiteSeerX Archives

Quelle: http://arxiv.org/pdf/math/0303320v1.pdf.

Schlagwörter: inverse function theorem, Newton approximation, valued fields, ultrametric fields, local fields, ultrametric Banach spaces, non-locally convex spaces, strictly differentiable mappings

Dateibeschreibung: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.235.3012; http://arxiv.org/pdf/math/0303320v1.pdf

Verfügbarkeit: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.235.3012
http://arxiv.org/pdf/math/0303320v1.pdf

A right inverse function theorem withhout assuming differentiability: A right inverse function theorem without assuming differentiability

Autoren: B. Slezák

Quelle: Studia Scientiarum Mathematicarum Hungarica. 36:153-164

Schlagwörter: Brouwer's fixed-point theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, 0211 other engineering and technologies, tangent function, Continuity and differentiation questions, 02 engineering and technology, 01 natural sciences, open mapping theorem, Implicit function theorems, global Newton methods on manifolds, Fixed-point theorems, modulus of continuity, modulus of openness, 0101 mathematics, Open mapping and closed graph theorems, completeness (including \(B\)-, \(B_r\)-completeness)

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1604042
https://doi.org/10.1556/sscmath.36.2000.1-2.12
https://akjournals.com/view/journals/012/36/1-2/article-p153.xml

A Local Inversion Principle of the Nash--Moser Type: A local inversion principle of the Nash-Moser type

Autoren: Alfonso Castro John William Neuberger

Quelle: SIAM Journal on Mathematical Analysis. 33:989-993

Schlagwörter: continuous steepest descent, 0301 basic medicine, 03 medical and health sciences, Derivatives of functions in infinite-dimensional spaces, Nonlinear boundary value problems for ordinary differential equations, Nonlinear boundary value problems for linear elliptic equations, inverse function theorem, 0101 mathematics, 01 natural sciences, Nash-Moser methods, Implicit function theorems, global Newton methods on manifolds

Dateibeschreibung: application/xml

Zugangs-URL: https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1484&context=hmc_fac_pub
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1484&context=hmc_fac_pub
https://epubs.siam.org/doi/abs/10.1137/S0036141099357690
https://scholarship.claremont.edu/hmc_fac_pub/479/
https://dblp.uni-trier.de/db/journals/siamma/siamma33.html#CastroN01