Results 51 to 60 of about 47,715 (209)
Cauchy Problems for Semilinear Parabolic Equations in Grand Herz Spaces
MathematicsIn this paper, we study Cauchy problems for the semilinear parabolic equations ∂tu−▵u=G(u) with initial data in grand Herz spaces. We extend previous results established for classical Herz spaces to the broader framework of grand Herz spaces.
Suixin He, Ronghui Liu
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Regularity of solutions to elliptic equations on Herz spaces with variable exponents
Boundary Value Problems, 2019 The aim of this paper is to show some regularity properties of solutions to Lu=f $\mathcal{L} u = f$, where L $\mathcal{L}$ is a second order nondivergence form operator and f belongs to a homogeneous Herz space K˙q(⋅)α,p(⋅) $\dot{K}^{\alpha,p(\cdot)}_{q(
Andrea Scapellato
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Macromolecular Rapid Communications, EarlyView.This work presents a structure‐aware graph convolutional network that models polymers as statistical ensembles to predict macroscopic properties. By combining topologically realistic graphs generated via kinetic Monte Carlo simulations with explicit molar mass distributions, the framework achieves high accuracy in classifying architectures and ...
Julian Kimmig +7 more
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Further results for the Dunkl Transform and the generalized Ces\`aro operator [PDF]
, 2012 In this paper, we consider Dunkl theory on R^d associated to a finite reflection group. This theory generalizes classical Fourier anal- ysis. First, we give for 1 < p
Abdelkefi, Chokri, Rached, Faten
core
Hardy Operators and Commutators on Weighted Herz Spaces
Analysis in Theory and Applications, 2023 Summary: Let \(P\) be the classical Hardy operator on \((0, \infty)\) and \(Q\) be the adjoint operator. In this paper, we get the boundedness for \(P\), \(Q\) and the commutators of \(P\) and \(Q\) with \(CMO\) functions on the weighted Herz spaces.
Hu, Jingling, Peng, Yangke, Li, Wenming
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physica status solidi (b), EarlyView.This study presents a synthesis method for lanthanide‐doped NaGdF4 particles in an aqueous environment. Clearly distinct cathodoluminescence (CL) spectra were observed for europium‐ and thulium‐doped nanoparticles, stable for up to 100 s of excitation time.
Jörgen Jungclaus +5 more
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Some estimates for commutators of bilinear pseudo-differential operators
Open Mathematics, 2022 We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.
Yang Yanqi, Tao Shuangping
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A Theory of Hardy Spaces Associated to the Herz Spaces
Proceedings of the London Mathematical Society, 1994 The paper investigates systematically the Hardy spaces \(HA_{p, q}\) (\(H\dot A_{p,q}\)) associated to Herz spaces \(A_{p,q}\) \((\dot A_{p,q})\). The main result is Theorem 2.14. Let \({n- 1\over n}< q\leq 1< p< \infty\), \(f\in {\mathcal S}'(R)\). Then the following properties concerning the Hardy-Herz spaces are equivalent: 1.
García-Cuerva, José +1 more
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Shared leadership can promote success in collaborative research networks in ecology
Functional Ecology, EarlyView.Read the free Plain Language Summary for this article on the Journal blog. Abstract While collaborative science is becoming the norm in ecology, many ecologists participating in collaborations are less aware of the body of research that studies the processes by which collaborative teams organize and communicate.
Daniel C. Allen +27 more
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