Search Results - local inverse and implicit function theorems

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

“… 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 by Li, Liangpan

“…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 by Stiefenhofer, Matthias

“… 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 by Cristea, Mihai

“…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 by Poppenberg, Markus

“…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 by Shamseddine, Khodr, Rempel, Trevor, Sierens, Todd

“…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 by ZHANG, WEIRONG, MA, JIPU

“… 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 by Covolo, Tiffany, Kwok, Stephen, Poncin, Norbert

“… 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 by Filippenko, Benjamin, Zhou, Zhengyi, Wehrheim, Katrin

“…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 by Barreto, A.P., Fenille, M.C., Hartmann, L.

“…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 by Arutyunov, A. V., Zhukovskiy, S. E.

“…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 by Stiefenhofer, Matthias

“… 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 by Gutú, Olivia

“…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 by Covolo, Tiffany, Kwok, Stephen, Poncin, Norbert

“… 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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Constrained open mapping theorem with applications by Cibulka, R.

“…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 by Poppenberg, Markus

“… 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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The real fatou conjecture by Graczyk, Jacek, Świa̦tek, Grzegorz

“…No detailed description available for "The Real Fatou Conjecture. (AM-144), Volume 144"…”
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Exact Controllability for the Quasilinear Perturbations of the Kawahara Equation by Jin, Yanpeng, Fu, Ying, Wu, Xiaoping

“…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 by Stiefenhofer, Matthias

“… 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 by Zhang, Jianzhong, Zhang, Liwei

“…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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