Results 101 to 110 of about 4,018,978 (218)
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Journal of Function SpacesLet X be a nonempty set, A be a commutative Banach algebra, and 1 ...
Shirin Tavkoli +2 more
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The Szlenk Index and the Fixed Point Property under Renorming
Fixed Point Theory and Applications, 2010 Assume that X is a Banach space such that its Szlenk index Sz(X) is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R(X)<2, where R(⋅) is the ...
T. Domínguez Benavides
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Richards's curve induced Banach space valued multivariate neural network approximation. [PDF]
Arab J Math, 2023 Anastassiou GA, Karateke S.
europepmc +1 more source
RETRO K-BANACH FRAMES IN BANACH SPACES
Poincare Journal of Analysis and Applications, 2018 Summary: The notions of $K$-frame and atomic system in Hilbert spaces were recently introduced by \textit{L. Găvruţa} [Appl. Comput. Harmon. Anal. 32, No. 1, 139--144 (2012; Zbl 1230.42038)]. In this paper, we extend these notions to a Banach space setting, define $K$-retro Banach frames in Banach spaces and observe that $K$-retro Banach frame is a ...
Shekhar, Chander +2 more
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A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, Volume 47, Issue 6, Page 1124-1138, November 2026.ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley +1 more source
Weak convergence of an iterative sequence for accretive operators in Banach spaces
Fixed Point Theory and Applications, 2006 Let C be a nonempty closed convex subset of a smooth Banach space E and let A be an accretive operator of C into E. We first introduce the problem of finding a point u∈C such that 〈Au,J(v−u)〉≥0 for all v∈C ...
Wataru Takahashi +2 more
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Richards's curve induced Banach space valued ordinary and fractional neural network approximation. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2023 Anastassiou GA, Karateke S.
europepmc +1 more source
Invertible Operators on Banach Spaces [PDF]
Formalized Mathematics, 2019 Summary In this article, using the Mizar system [2], [1], we discuss invertible operators on Banach spaces. In the first chapter, we formalized the theorem that denotes any operators that are close enough to an invertible operator are also invertible by using the property of Neumann series.
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Johnson–Schwartzman gap labeling for metric and discrete decorated graphs
Journal of the London Mathematical Society, Volume 114, Issue 5, November 2026.Abstract We study Schrödinger operators on metric and discrete decorated graphs. The values taken by the integrated density of states (IDS) on spectral gaps are called gap labels. A natural question is which gap labels can occur. We answer this for graphs arising from uniquely ergodic one‐dimensional dynamical systems by proving Johnson–Schwartzman gap‐
Ram Band, Gilad Sofer
wiley +1 more source