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Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Agresti A, Veraar M.
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Existence and uniqueness of well-posed fractional boundary value problem. [PDF]
Wang Y +4 more
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An additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics: local well-posedness of paracontrolled solutions. [PDF]
Martini A, Mayorcas A.
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Applications of Schauder’s fixed point theorem to singular radially symmetric systems
Journal of Fixed Point Theory and Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianhua Tang +2 more
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Optimal balls for the application of the Schauder Fixed-Point Theorem
Complex Variables and Elliptic Equations, 2005The article deals with operator equations of type in a Banach space . If is only Lipschitz-continuous or locally bounded, then fixed-point theorems can be applied to bounded subsets of such as balls centered at u 0 or at the zero element Θ of . The article investigates the problem for which radius of the ball, the restrictions for admissible operators (
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The Schauder Fixed Point Theorem for Nonexpensive Mappings
The American Mathematical Monthly, 1977(1977). The Schauder Fixed Point Theorem for Nonexpansive Mappings. The American Mathematical Monthly: Vol. 84, No. 5, pp. 363-364.
W. G. Dotson, W. R. Mann
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The Schauder and Krasnoselskii Fixed-Point Theorems on a Frechet Space
Mediterranean Journal of Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toufic El Arwadi, Mohamed Amine Cherif
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The Fixed Point Theorems of Brouwer and Schauder
1997We are going to dedicate the first chapter to the study of the fixed point theorem of Schauder [S, 1930]. We have divided the chapter into two parts: In the first part we give the finite dimensional version of Schauder’s fixed point theorem (usually known as Brouwer’s theorem [Br, 1912], though an equivalent form had been proved by Poincare [Po, 1886]).
J. M. Ayerbe Toledano +2 more
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The Schauder Fixed-Point Theorem
2016Recall that to say a metric space has the fixed-point property means that every continuous mapping taking the space into itself must have a fixed point. In Chap. 4 we proved two versions of the Brouwer Fixed-Point Theorem: The “Ball” version (Theorem 4.1). The closed unit ball of\(\mathbb{R}^{N}\)has the fixed-point property,
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Schauder’s Fixed Point Theorem and Allied Theorems
2018Attempts to extend Brouwer’s fixed point theorem to infinite dimensional spaces culminated in Schauder’s fixed point theorem [20]. The need for such an extension arose because existence of solutions to nonlinear equations, especially nonlinear integral and differential equations can be formulated as fixed point problems in function-spaces. This chapter
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