Výsledky vyhľadávania - local inverse and implicit function theorems
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Taylor’s Theorem, the Inverse Function Theorem and the Implicit Function Theorem for Weakly Locally Uniformly Differentiable Functions on Non-Archimedean Spaces
ISSN: 2070-0466, 2070-0474Vydavateľské údaje: Moscow Pleiades Publishing 01.04.2021Vydané v P-adic numbers, ultrametric analysis, and applications (01.04.2021)“… Moreover, they satisfy an inverse function theorem, a local intermediate value theorem and a local mean value theorem…”
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New inverse and implicit function theorems for differentiable maps with isolated critical points
ISSN: 0022-247X, 1096-0813Vydavateľské údaje: Elsevier Inc 01.02.2022Vydané v 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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Linearization and Lemma of Newton for operator functions
ISSN: 2662-2009, 2538-225XVydavateľské údaje: Basel Springer Nature B.V 01.10.2025Vydané v 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…”
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On Inverse and Implicit Function Theorem for Sobolev Mappings
ISSN: 2075-1680, 2075-1680Vydavateľské údaje: Basel MDPI AG 06.03.2025Vydané v 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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An Inverse Function Theorem in Sobolev Spaces and Applications to Quasi-Linear Schrödinger Equations
ISSN: 0022-247X, 1096-0813Vydavateľské údaje: San Diego, CA Elsevier Inc 01.06.2001Vydané v 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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The implicit function theorem in a non-Archimedean setting
ISSN: 0019-3577, 1872-6100Vydavateľské údaje: Elsevier B.V 01.12.2009Vydané v 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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QUASI-LOCAL CONJUGACY THEOREMS IN BANACH SPACES
ISSN: 0252-9599, 1860-6261Vydavateľské údaje: 01.10.2005Vydané v 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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Local forms of morphisms of colored supermanifolds
ISSN: 0393-0440, 1879-1662Vydavateľské údaje: Elsevier B.V 01.10.2021Vydané v 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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Counterexamples in scale calculus
ISSN: 1091-6490, 1091-6490Vydavateľské údaje: United States 30.04.2019Vydané v Proceedings of the National Academy of Sciences - PNAS (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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Inverse mapping theorem and local forms of continuous mappings
ISSN: 0166-8641, 1879-3207Vydavateľské údaje: Elsevier B.V 01.01.2016Vydané v 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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Application of Methods of Ordinary Differential Equations to Global Inverse Function Theorems
ISSN: 0012-2661, 1608-3083Vydavateľské údaje: Moscow Pleiades Publishing 01.04.2019Vydané v 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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Linearization and Lemma of Newton for operator functions: Linearization and Lemma of Newton
ISSN: 2662-2009, 2538-225XVydavateľské údaje: Cham Springer International Publishing 03.09.2025Vydané v 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…”
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On global inverse and implicit functions
ISSN: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 14.07.2016Vydané v 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…”
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Local Forms of Morphisms of Colored Supermanifolds
ISSN: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 19.10.2020Vydané v 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…”
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The real fatou conjecture
ISBN: 0691002584, 9780691002576, 0691002576, 9780691002583Vydavateľské údaje: Princeton, N.J Princeton University Press 1998“…No detailed description available for "The Real Fatou Conjecture. (AM-144), Volume 144"…”
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Constrained open mapping theorem with applications
ISSN: 0022-247X, 1096-0813Vydavateľské údaje: Amsterdam Elsevier Inc 01.07.2011Vydané v 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…”
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On the Local Well Posedness of Quasilinear Schrödinger Equations in Arbitrary Space Dimension
ISSN: 0022-0396, 1090-2732Vydavateľské údaje: Elsevier Inc 01.05.2001Vydané v 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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Exact Controllability for the Quasilinear Perturbations of the Kawahara Equation
ISSN: 0170-4214, 1099-1476Vydavateľské údaje: Freiburg Wiley Subscription Services, Inc 30.05.2025Vydané v 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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Linearization and Lemma of Newton for Operator functions
ISSN: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 27.09.2023Vydané v 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…”
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An Augmented Lagrangian Method for a Class of Inverse Quadratic Programming Problems
ISSN: 0095-4616, 1432-0606Vydavateľské údaje: New York Springer-Verlag 01.02.2010Vydané v 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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