Results 121 to 130 of about 4,758,376 (292)
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
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The Banach-Saks Properties in Orlicz-Lorentz Spaces
Abstract and Applied Analysis, 2014 The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks)
Anna Kamińska, Han Ju Lee
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The Monotone Contraction Mapping Theorem
Journal of Mathematics, 2020 In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space.
Joseph Frank Gordon
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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.
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Weakly Lindelof determined Banach spaces not containing $\ell^1(N)$
, 1992 The class of countably intersected families of sets is defined. For any such family we define a Banach space not containing $\ell^{1}(\NN )$. Thus we obtain counterexamples to certain questions related to the heredity problem for W.C.G.
Argyros, Spiros A.
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A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space
, 1974 where H(A, B) denotes the Hausdorff distance between A and B. A point x e C is called a fixed point of T if x e Tx. Fixed point theorems for such mappings T have been established by Mar kin [11] for Hubert spaces, by Browder [2] for spaces having weakly ...
Teck-Cheong Lim
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Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2007 Let $G$ be a separable locally compact unimodular group of type I, $ \widehat{G}$ be its dual, $\hat{p}$ is a measurable field of, not necessary bounded, operators on $\widehat{G}$ such that $\hat{p}(\pi)$ is self-adjoint, $\hat{p}(\pi) \geq I$ for $\mu-$almost all $\pi \in \widehat{G}$, and $$A_{\hat{p} }(G) =\{f(x):=\int_{ \widehat{G}} Tr[\hat{f}(\pi)
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11592-11619, August 2025.ABSTRACT We consider evolution (nonstationary) space‐periodic solutions to the n$$ n $$‐dimensional nonlinear Navier–Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in space and time and satisfying the relaxed ellipticity condition.
Sergey E. Mikhailov
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Differential Equations on Closed Subsets of a Banach Space
, 1976 The problem of existence of solutions to the initial value problem x' = f(t, x), x(to) = x0 E F, where f E C[[t0, t0 + al X F, El, F is a locally closed subset of a Banach space E is considered.
V. Lakshmikantham +2 more
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Numerical Linear Algebra with Applications, Volume 32, Issue 4, August 2025.ABSTRACT We propose an algorithm to solve optimization problems constrained by ordinary or partial differential equations under uncertainty, with additional almost sure inequality constraints on the state variable. To alleviate the computational burden of high‐dimensional random variables, we approximate all random fields by the tensor‐train (TT ...
Harbir Antil +2 more
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