Results 61 to 70 of about 760,630 (259)

Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results [PDF]

, 2011
The aim of this paper is two folded. Firstly, we study the validity of a Pohozaev-type identity for the Schrodinger operator A λ : = − Δ − λ | x | 2 , λ ∈ R , in the situation where the origin is located on the boundary of a smooth domain Ω ⊂ R N , N ⩾ 1
C. Cazacu
semanticscholar   +1 more source

Sharp Hardy–Sobolev inequalities

Comptes Rendus. Mathématique, 2004
Let Ω be a smooth bounded domain in RN, N⩾3. We show that Hardy's inequality involving the distance to the boundary, with best constant (14), may still be improved by adding a multiple of the critical Sobolev norm.
Filippas, S., Maz'ya, V. G., Tertikas, A.   +2 more
openaire   +2 more sources

Hardy Martingales and Jensen's inequality [PDF]

Bulletin of the Australian Mathematical Society, 1997
Hardy martingales were introduced by Garling and used to study analytic functions on the N-dimensional torus 𝕋N, where analyticity is defined using a lexicographic order on the dual group ℤN. We show how, by using basic properties of orders on ℤN, we can apply Garling's method in the study of analytic functions on an arbitrary compact Abelian group ...
Asmar, Nakhlé H., Montgomery-Smith, Stephen J.   +1 more
openaire   +2 more sources

Life after herbarium digitisation: Physical and digital collections, curation and use

PLANTS, PEOPLE, PLANET, EarlyView.
Societal Impact Statement Collections of dried plant specimens (herbaria) provide an invaluable resource for the study of many areas of scientific interest and conservation globally. Digitisation increases access to specimens and metadata, enabling efficient use across a broad spectrum of research.
Alan James Paton, Gabriel K. Ameka, Alexandre Antonelli, Alex Asase, Russell L. Barrett, Ann Bogaerts, Domingos Cardoso, Mark Carine, Alastair Culham, Syadwina H. Dalimunthe, Nina Davies, Sofie De Smedt, Sebebe Demissew, Rafaela Campostrini Forzza, Quentin Groom, Elspeth M. Haston, Abdulrokhman Kartonegoro, Paul Kersey, Isabel Larridon, Jana Leong‐Škorničková, Lucia G. Lohmann, Jehova Lourenco Jr., Hannah McPherson, Muthama Muasya, Nicky Nicolson, Marcelo Pace, Jack F. Plummer, Hélène Ralimanana, Himmah Rustiami, Hervé Sauquet, Emily B. Sessa, Eric Smets, Alex Sumadijaya, Jordan Teisher, Daniel C. Thomas, Eka F. Tihurua, Janine E. Victor, Sarah T. Wagner, Quiang Wang, Andrew Young   +39 more
wiley   +1 more source

A geometric characterization of a sharp Hardy inequality [PDF]

, 2011
In this paper, we prove that the distance function of an open connected set in $\mathbb R^{n+1}$ with a $C^{2}$ boundary is superharmonic in the distribution sense if and only if the boundary is {\em weakly mean convex}.
R. Lewis, Junfang Li, Yanyan Li
semanticscholar   +1 more source

Optimizing Improved Hardy Inequalities

Journal of Functional Analysis, 2002
Let \(N\geq 3\) and \(\Omega\) be a bounded domain in \({\mathbb R}^N\) such that \(0\in \Omega\). The goal of the authors is to study a general improved Hardy inequality: For all \(u\in H^1_0(\Omega)\), \[ \int_{\Omega} \left|\nabla u\right|^2\geq \left(\frac{N-2}2\right)^2\int_{\Omega} \frac{\left|u\right|^2}{\left|x\right|^2}dx+b\int_{\Omega} Vu^2dx
Filippas, Stathis, Tertikas, Achilles
openaire   +2 more sources

Comparative Analysis of the Performances of a Nonlinear Observer and Nonlinear Kalman Filters in the Presence of Non‐Gaussian Disturbances

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

The refinement and generalization of Hardy’s inequality in Sobolev space

Journal of Inequalities and Applications, 2018
In this paper, we refine the proof of Hardy’s inequality in (Evans in Partial Differential Equations, 2010, Hardy in Inequalities, 1952) and extend Hardy’s inequality from two aspects. That is to say, we extend the integral estimation function from u|x| $
Xiaomin Xue, Fushan Li
doaj   +1 more source

A Pedagogy of Wonder: A Spoken Word Poetic Inquiry Into the Complexities of Trauma and Teaching in TESOL

TESOL Quarterly, EarlyView.
Abstract This forum piece begins with a spoken word poem titled A Pedagogy of Wonder, performed by the author, through which the intersections of trauma, language teaching, and creative inquiry are explored. While TESOL scholarship has predominantly focused on refugee‐background or international students as “traumatized populations,” and on trauma ...
Jennifer Burton
wiley   +1 more source

L p $L^{p}$ Hardy type inequality in the half-space on the H-type group

Journal of Inequalities and Applications, 2016
In the current work we studied Hardy type and L p $L^{p}$ Hardy type inequalities in the half-space on the H-type group, where the Hardy inequality in the upper half-space R + n $\mathbf{R}_{+}^{n}$ was proved by Tidblom in (J. Funct. Anal.
Jianxun He, Mingkai Yin
doaj   +1 more source