Results 51 to 60 of about 717,503 (209)

Compensated integrability on tori; a priori estimate for space-periodic gas flows

Comptes Rendus. Mathématique
We extend our theory of Compensated Integrability of positive symmetric tensors, to the case where the domain is the product of a linear space $\mathbb{R}^k$ and of a torus $\mathbb{R}^m/\Lambda $, $\Lambda $ being a lattice of $\mathbb{R}^m$.
Serre, Denis
doaj   +1 more source

Error analysis of a continuous-discontinuous Galerkin finite element method for generalized 2D vorticity dynamics [PDF]

, 2005
A detailed a priori error estimate is provided for a continuous-discontinuous Galerkin finite element method suitable for two-dimensional geophysical flows.
Bokhove, O., Izsák, F., Vegt, J.J.W. van der   +2 more
core   +1 more source

Weighted a priori estimates for the Poisson equation [PDF]

Indiana University Mathematics Journal, 2008
and let u be a solution of the classical Poisson problem in Ω; i.e., -Δu = f in Ω, u = 0 on ∂Ω, where f ∈ L ρ ω (Ω) and ω is a weight in Ap. The main goal of this paper is to prove the following a priori estimate ∥u∥W 2,p ω (Ω)≤C∥f∥L p ω (Ω), and to give some applications for weights given by powers of the distance to the boundary.
Durán, Ricardo Guillermo, Sanmartino, Marcela, Toschi, Marisa   +2 more
openaire   +3 more sources

Fluid Biomarkers of Disease Burden and Cognitive Dysfunction in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Identifying objective biomarkers for progressive supranuclear palsy (PSP) is crucial to improving diagnosis and establishing clinical trial and treatment endpoints. This study evaluated fluid biomarkers in PSP versus controls and their associations with regional 18F‐PI‐2620 tau‐PET, clinical, and cognitive outcomes.
Roxane Dilcher, Charles B. Malpas, Stuart J. McDonald, William T. O’Brien, Craig Despott, Kelly L. Bertram, Matthew P. Pase, Lukas Frontzkowski, Meng Law, Terence J. O’Brien, Lucy Vivash   +10 more
wiley   +1 more source

The Surrogate Matrix Methodology: A Priori Error Estimation [PDF]

SIAM Journal on Scientific Computing, 2019
We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is based on the piece-wise smooth approximation of the matrices involved in a standard finite element discretization ...
Drzisga, Daniel, Keith, Brendan, Wohlmuth, Barbara   +2 more
openaire   +4 more sources

Structure–Function Decoupling of the Sensorimotor and Default Mode Networks in Black Americans With MS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Multiple sclerosis (MS) exhibits racially disparate rates of disease progression. Black people with MS (B‐PwMS) experience a more severe disease course than non‐Hispanic White people with MS (NHW‐PwMS). Here we investigated structural and functional connectivity as well as structure–function decoupling in the ...
Emilio Cipriano, Giacomo Boffa, Maria Petracca, Marta Ponzano, Nicole Graziano, Claire Wigley, Claire Riley, Jonathan Howard, Pietro Bontempi, Sylvia Klineova, Fred Lublin, Matilde Inglese   +11 more
wiley   +1 more source

On radially symmetric solutions of the Neumann boundary value problem for the p-Laplace equation

Учёные записки Казанского университета: Серия Физико-математические науки
The Neumann boundary value problem for the p-Laplace equation with a low order term that does not satisfy the Bernstein–Nagumo condition was studied. The solvability of the problem in the class of radially symmetric solutions was investigated. A class of
A. S. Tersenov, R. C. Safarov
doaj   +1 more source

Preferences for post‐traumatic osteoarthritis prevention strategies in individuals with anterior cruciate ligament injury

Arthritis Care &Research, Accepted Article.
Objectives There is growing interest in evaluating new strategies to delay or prevent post‐traumatic osteoarthritis (PTOA) in individuals who have sustained anterior cruciate ligament (ACL) injury. This study sought to determine characteristics of potential treatments that are acceptable to patients with ACL injury.
Kevin Kennedy, Lily Waddell, Adam Easterbrook, Jeffrey N. Katz, Cale Jacobs, Morgan Jones, Faith Selzer, Elena Losina, Liana Fraenkel, Nick Bansback   +9 more
wiley   +1 more source

A new a priori estimate for multi-point boundary-value problem

Electronic Journal of Differential Equations, 2001
Let $f:[0,1]imes mathbb{R}^2o mathbb{R}$ be a function satisfying Caratheodory's conditions and $e(t)in L^{1}[0,1]$.
Chaitan P. Gupta
doaj  

Financial Distress and Its Determinants in Rheumatoid Arthritis

Arthritis Care &Research, EarlyView.
Objective To quantify the degree of financial distress and identify its determinants in adults with rheumatoid arthritis (RA) given the frequent prolonged use of expensive disease‐modifying therapies. Methods We identified adults enrolled in the FORWARD databank with either RA or noninflammatory musculoskeletal disease (NIMSKD) completing the ...
Amber Brown Keebler, Yunju Im, Sofia Pedro, Ted R. Mikuls, Edward S. Peters, Kaleb Michaud   +5 more
wiley   +1 more source