Suchergebnisse - local inverse and implicit function theorems

  1. 1

    Taylor’s Theorem, the Inverse Function Theorem and the Implicit Function Theorem for Weakly Locally Uniformly Differentiable Functions on Non-Archimedean Spaces von Shamseddine, Khodr

    ISSN: 2070-0466, 2070-0474
    Veröffentlicht: Moscow Pleiades Publishing 01.04.2021
    “… Moreover, they satisfy an inverse function theorem, a local intermediate value theorem and a local mean value theorem …”
    Volltext
    Journal Article
  2. 2

    New inverse and implicit function theorems for differentiable maps with isolated critical points von Li, Liangpan

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: Elsevier Inc 01.02.2022
    Veröffentlicht in Journal of mathematical analysis and applications (01.02.2022)
    “… The central purpose of this article is to establish new inverse and implicit function theorems for differentiable maps with isolated critical points …”
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    Journal Article
  3. 3

    Linearization and Lemma of Newton for operator functions von Stiefenhofer, Matthias

    ISSN: 2662-2009, 2538-225X
    Veröffentlicht: Basel Springer Nature B.V 01.10.2025
    Veröffentlicht in Advances in operator theory (01.10.2025)
    “… linearization, emerging patterns of level sets, as well as existing solutions of $$G[z]=0$$ G [ z ] = 0 . The results represent local generalizations of the standard implicit or inverse function theorem …”
    Volltext
    Journal Article
  4. 4

    On Inverse and Implicit Function Theorem for Sobolev Mappings von Cristea, Mihai

    ISSN: 2075-1680, 2075-1680
    Veröffentlicht: Basel MDPI AG 06.03.2025
    Veröffentlicht in Axioms (06.03.2025)
    “… We extend Clarke’s local inversion theorem for Sobolev mappings. We use this result to find a general implicit function theorem for continuous locally Lipschitz …”
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    Journal Article
  5. 5

    An Inverse Function Theorem in Sobolev Spaces and Applications to Quasi-Linear Schrödinger Equations von Poppenberg, Markus

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 01.06.2001
    Veröffentlicht in Journal of mathematical analysis and applications (01.06.2001)
    “… A Nash–Moser type inverse function theorem in Banach spaces with loss of derivatives is proved, and applications are given to singular quasi-linear …”
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    Journal Article
  6. 6

    The implicit function theorem in a non-Archimedean setting von Shamseddine, Khodr, Rempel, Trevor, Sierens, Todd

    ISSN: 0019-3577, 1872-6100
    Veröffentlicht: Elsevier B.V 01.12.2009
    Veröffentlicht in Indagationes mathematicae (01.12.2009)
    “… In this paper, the inverse function theorem and the implicit function theorem in a non-Archimedean setting will be discussed …”
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    Journal Article
  7. 7

    QUASI-LOCAL CONJUGACY THEOREMS IN BANACH SPACES von ZHANG, WEIRONG, MA, JIPU

    ISSN: 0252-9599, 1860-6261
    Veröffentlicht: 01.10.2005
    Veröffentlicht in Chinese annals of mathematics. Serie B (01.10.2005)
    “… In local analysis of nonlinear functional analysis, implicit function theorem, inverse function theorem, local surjectivity theorem, local injectivity theorem, and the local conjugacy theorem are well known …”
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    Journal Article
  8. 8

    Local forms of morphisms of colored supermanifolds von Covolo, Tiffany, Kwok, Stephen, Poncin, Norbert

    ISSN: 0393-0440, 1879-1662
    Veröffentlicht: Elsevier B.V 01.10.2021
    Veröffentlicht in Journal of geometry and physics (01.10.2021)
    “… The present paper contains a detailed account of parts of the Z2n-differential calculus and of the Z2n-variants of the trilogy of local theorems, which consists of the inverse function theorem …”
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    Journal Article
  9. 9

    Counterexamples in scale calculus von Filippenko, Benjamin, Zhou, Zhengyi, Wehrheim, Katrin

    ISSN: 1091-6490, 1091-6490
    Veröffentlicht: United States 30.04.2019
    “… We construct counterexamples to classical calculus facts such as the inverse and implicit function theorems in scale calculus-a generalization of multivariable calculus to infinite-dimensional vector …”
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    Journal Article
  10. 10

    Inverse mapping theorem and local forms of continuous mappings von Barreto, A.P., Fenille, M.C., Hartmann, L.

    ISSN: 0166-8641, 1879-3207
    Veröffentlicht: Elsevier B.V 01.01.2016
    Veröffentlicht in Topology and its applications (01.01.2016)
    “… We present a homological version of the Inverse Mapping Theorem for open and discrete continuous maps between oriented topological manifolds, with assumptions on the degree of the maps, but without …”
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    Journal Article
  11. 11

    Application of Methods of Ordinary Differential Equations to Global Inverse Function Theorems von Arutyunov, A. V., Zhukovskiy, S. E.

    ISSN: 0012-2661, 1608-3083
    Veröffentlicht: Moscow Pleiades Publishing 01.04.2019
    Veröffentlicht in Differential equations (01.04.2019)
    “… We obtain a global inverse function theorem guaranteeing that if a smooth mapping of finite-dimensional spaces is uniformly nonsingular, then it has a smooth right inverse …”
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    Journal Article
  12. 12

    Linearization and Lemma of Newton for operator functions: Linearization and Lemma of Newton von Stiefenhofer, Matthias

    ISSN: 2662-2009, 2538-225X
    Veröffentlicht: Cham Springer International Publishing 03.09.2025
    Veröffentlicht in Advances in operator theory (03.09.2025)
    “… linearization, emerging patterns of level sets, as well as existing solutions of G [ z ] = 0 . The results represent local generalizations of the standard implicit or inverse function theorem …”
    Volltext
    Journal Article
  13. 13

    On global inverse and implicit functions von Gutú, Olivia

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 14.07.2016
    Veröffentlicht in arXiv.org (14.07.2016)
    “… Since the Hadamard Theorem, several metric and topological conditions have emerged in the literature to date, yielding global inversion and implicit theorems for functions in different settings …”
    Volltext
    Paper
  14. 14

    Local Forms of Morphisms of Colored Supermanifolds von Covolo, Tiffany, Kwok, Stephen, Poncin, Norbert

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 19.10.2020
    Veröffentlicht in arXiv.org (19.10.2020)
    “… of the \(\mathbb{Z}_2^n\)-differential calculus and of the \(\mathbb{Z}_2^n\)-variants of the trilogy of local theorems, which consists of the inverse function theorem …”
    Volltext
    Paper
  15. 15

    The real fatou conjecture von Graczyk, Jacek, Świa̦tek, Grzegorz

    ISBN: 0691002584, 9780691002576, 0691002576, 9780691002583
    Veröffentlicht: Princeton, N.J Princeton University Press 1998
    “… No detailed description available for "The Real Fatou Conjecture. (AM-144), Volume 144" …”
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  16. 16

    Constrained open mapping theorem with applications von Cibulka, R.

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: Amsterdam Elsevier Inc 01.07.2011
    Veröffentlicht in Journal of mathematical analysis and applications (01.07.2011)
    “… We prove a generalization of Gravesʼ Open Mapping Theorem for a class of mappings which can be approximated at a reference point by a set-valued one having particular properties …”
    Volltext
    Journal Article
  17. 17

    On the Local Well Posedness of Quasilinear Schrödinger Equations in Arbitrary Space Dimension von Poppenberg, Markus

    ISSN: 0022-0396, 1090-2732
    Veröffentlicht: Elsevier Inc 01.05.2001
    Veröffentlicht in Journal of Differential Equations (01.05.2001)
    “… The proof combines Nash–Moser techniques on implicit function theorems in Fréchet spaces with hyperbolic semigroup theory including evolution systems using the intersection of all Sobolev …”
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    Journal Article
  18. 18

    Exact Controllability for the Quasilinear Perturbations of the Kawahara Equation von Jin, Yanpeng, Fu, Ying, Wu, Xiaoping

    ISSN: 0170-4214, 1099-1476
    Veröffentlicht: Freiburg Wiley Subscription Services, Inc 30.05.2025
    Veröffentlicht in Mathematical methods in the applied sciences (30.05.2025)
    “… ABSTRACT This paper is devoted to studying the exact controllability for the Kawahara equation under the influence of quasilinear perturbations for …”
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  19. 19

    Linearization and Lemma of Newton for Operator functions von Stiefenhofer, Matthias

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 27.09.2023
    Veröffentlicht in arXiv.org (27.09.2023)
    “… The results represent local generalizations of the standard implicit or inverse function theorem and of Newton's Lemma, considering the order of approximation needed to obtain solutions of G[z]=0 …”
    Volltext
    Paper
  20. 20

    An Augmented Lagrangian Method for a Class of Inverse Quadratic Programming Problems von Zhang, Jianzhong, Zhang, Liwei

    ISSN: 0095-4616, 1432-0606
    Veröffentlicht: New York Springer-Verlag 01.02.2010
    Veröffentlicht in Applied mathematics & optimization (01.02.2010)
    “… We consider an inverse quadratic programming (QP) problem in which the parameters in the objective function of a given QP problem are adjusted as little as possible so that a known feasible solution becomes the optimal one …”
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