Junyan Zhao, Dashan Fan. Source: Annals of Functional Analysis, Volume 10, Number 1, 29--45.Abstract: We investigate the convergence rate of the generalized Bochner–Riesz means $S_{R}^{\delta,\gamma}$ on $L^{p}$ -Sobolev spaces in the sharp range of $\delta$ and $p$ ( $p\geq2$ ). We give the...
Yuan Li, Mengqian Cui, Jiao Wu. Source: Annals of Functional Analysis, Volume 10, Number 1, 16--28.Abstract: Let $K\mathcal{(H)}$ and ${\mathcal{B(H)}}$ be the sets of all compact operators and all bounded linear operators, respectively, on the Hilbert space $\mathcal{H}$ . In this article, we...
Cao Jiang, Xing-Tang Dong, Ze-Hua Zhou. Source: Annals of Functional Analysis, Volume 10, Number 1, 1--15.Abstract: In this article, we first give an essential characterization of Toeplitz operators with quasihomogeneous symbols on the weighted pluriharmonic Bergman space of the unit polydisk....
Hugo Aimar, Ivana Gómez. Source: Annals of Functional Analysis, Advance publication, 13 pages.Abstract: We combine dyadic analysis through Haar-type wavelets (defined on Christ’s families of generalized cubes) and the Lax–Milgram theorem in order to prove the existence of Green’s functions for...
Raffaele Chiappinelli. Source: Annals of Functional Analysis, Advance publication, 10 pages.Abstract: We consider continuous gradient operators $F$ acting in a real Hilbert space $H$ , and we study their surjectivity under the basic assumption that the corresponding functional $\langle...
Alberto Lastra, Stéphane Malek. Source: Advances in Differential Equations, Volume 24, Number 1/2, 69--136.Abstract: We consider a nonlinear singularly perturbed PDE leaning on a complex perturbation parameter $\epsilon$. The problem possesses an irregular singularity in time at the origin and...
Yasuhide Fukumoto, Xiaopeng Zhao. Source: Advances in Differential Equations, Volume 24, Number 1/2, 31--68.Abstract: In this paper, the properties of weak and strong solutions for the Hall-magnetohydrodynamic system augmented by the effect of electron inertia are studied. First, we establish the...
Simão Correia, Mário Figueira. Source: Advances in Differential Equations, Volume 24, Number 1/2, 1--30.Abstract: Consider the hyperbolic nonlinear Schrödinger equation $\mathrm {(HNLS)}$ over $\mathbb R^d$ $$ iu_t + u_{xx} - \Delta_{\textbf{y}} u + \lambda |u|^\sigma u=0. $$ We deduce the...
Marcelo Rempel Ebert, Wanderley Nunes do Nascimento. Source: Advances in Differential Equations, Volume 23, Number 11/12, 847--888.Abstract: In this paper, we study the long time behavior of energy solutions for a class of wave equation with time-dependent potential and speed of propagation. We...
Jaime Angulo Pava, Nataliia Goloshchapova. Source: Advances in Differential Equations, Volume 23, Number 11/12, 793--846.Abstract: The aim of this work is to demonstrate the effectiveness of the extension theory of symmetric operators in the investigation of the stability of standing waves for the...
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