scholarly journals Recent development in nonlinear and variational analysis and optimization

Optimization ◽  
2021 ◽  
Vol 70 (4) ◽  
pp. 689-692
Author(s):  
Elisabeth Köbis ◽  
Jinlu Li ◽  
Adrian Petruşel ◽  
Jen-Chih Yao
Keyword(s):  
Variational Analysis ◽  
Variational Analysis And Optimization

Prediction of a Billet Shape for Axisymmetric Warm Forming Using Variational Analysis

2004 ◽  
Vol 274-276 ◽  
pp. 733-738 ◽  
Author(s):  
Ting Fai Kong ◽  
Luen Chow Chan ◽  
Tai Chiu Lee
Keyword(s):  
Variational Analysis ◽  
Warm Forming ◽  
Billet Shape

scholarly journals Variable Anisotropic Hardy Spaces with Variable Exponents

2021 ◽  
Vol 9 (1) ◽  
pp. 65-89
Author(s):  
Zhenzhen Yang ◽  
Yajuan Yang ◽  
Jiawei Sun ◽  
Baode Li
Keyword(s):  
Hardy Spaces ◽  
Variable Exponent ◽  
Atomic Decomposition ◽  
Integral Operators ◽  
Moment Condition ◽  
Variable Exponents ◽  
Hölder Continuous ◽  
Multi Level ◽  
The Moment ◽  
Variable Anisotropy

Abstract Let p(·) : ℝ n → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝ n introduced by Dekel et al. [12]. In this article, we introduce highly geometric Hardy spaces Hp (·)(Θ) via the radial grand maximal function and then obtain its atomic decomposition, which generalizes that of Hardy spaces Hp (Θ) on ℝ n with pointwise variable anisotropy of Dekel et al. [16] and variable anisotropic Hardy spaces of Liu et al. [24]. As an application, we establish the boundedness of variable anisotropic singular integral operators from Hp (·)(Θ) to Lp (·)(ℝ n ) in general and from Hp (·)(Θ) to itself under the moment condition, which generalizes the previous work of Bownik et al. [6] on Hp (Θ).

scholarly journals Variational analysis of HF dimer tunneling rotational spectra using an ab initio potential energy surface

2021 ◽  
pp. 111481
Author(s):  
Oleg L. Polyansky ◽  
Roman I. Ovsyannikov ◽  
Jonathan Tennyson ◽  
Sergei P. Belov ◽  
Mikhail Yu. Tretyakov ◽  
...  
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Ab Initio ◽  
Variational Analysis ◽  
Energy Surface ◽  
Rotational Spectra
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