Results 51 to 60 of about 717,764 (281)

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

Hospital Readmission After Traumatic Brain Injury Hospitalization in Community‐Dwelling Older Adults

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To examine the risk of hospital readmission after an index hospitalization for TBI in older adults. Methods Using data from the Atherosclerosis Risk in Communities (ARIC) study, we used propensity score matching of individuals with an index TBI‐related hospitalization to individuals with (1) non‐TBI hospitalizations (primary analysis)
Rachel Thomas, Connor A. Law, Joan A. Casey, Thomas Mosley, Rebecca F. Gottesman, Ramon Diaz‐Arrastia, Holly Elser, Andrea L. C. Schneider   +7 more
wiley   +1 more source

Numerical Simulation for Brinkman System with Varied Permeability Tensor

Mathematics, 2022
The aim of this paper is to study a stationary Brinkman problem in an anisotropic porous medium by using a mini-element method with a general boundary condition. One of the important aspects of the P1−Bubble/P1 method is satisfying the inf-sup condition,
Lahcen El Ouadefli, Abdeslam El Akkad, Omar El Moutea, Hassan Moustabchir, Ahmed Elkhalfi, Maria Luminița Scutaru, Radu Muntean   +6 more
doaj   +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

Lessons Learned From a Delayed‐Start Trial of Modafinil for Freezing of Gait in Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Freezing of gait (FOG) in people with Parkinson's disease (PwPD) is debilitating and has limited treatments. Modafinil modulates beta/gamma band activity in the pedunculopontine nucleus (PPN), like PPN deep brain stimulation. We therefore tested the hypothesis that Modafinil would improve FOG in PwPD.
Tuhin Virmani, Lakshmi Pillai, Reid D. Landes, Aliyah Glover, Shannon Doerhoff, Jennifer Kleiner, Mitesh Lotia, Rohit Dhall, Edgar Garcia‐Rill   +8 more
wiley   +1 more source

Effective Hironaka resolution and its Complexity (with appendix on applications in positive characteristic) [PDF]

, 2012
Building upon works of Hironaka, Bierstone-Milman, Villamayor and Wlodarczyk, we give an a priori estimate for the complexity of the simplified Hironaka algorithm.
Dima Grigoriev, Edward Bierstone, Jaros Law, Pierre Milman, W Lodarczyk   +4 more
core  

Remote Monitoring in Myasthenia Gravis: Exploring Symptom Variability

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Myasthenia gravis (MG) is a rare, autoimmune disorder characterized by fluctuating muscle weakness and potential life‐threatening crises. While continuous specialized care is essential, access barriers often delay timely interventions. To address this, we developed MyaLink, a telemedical platform for MG patients.
Maike Stein, Maximilian Mönch, Meret Herdick, Frauke Stascheit, Sarah Hoffmann, Hannah Preßler, Philipp Mergenthaler, Carla Dusemund, Paolo Doksani, Haoqi Sun, Pushpa Narayanaswami, Andreas Meisel, Lea Gerischer, Sophie Lehnerer   +13 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

Study of the initial boundary value problem for a two-dimensional convection-diffusion equation with a fractional time derivative in the sense of Caputo-Fabrizio

Вестник КазНУ. Серия математика, механика, информатика, 2021
In this paper, we study an initial boundary value problem for a differential equation with a fractional order derivative in time in the Caputo-Fabrizio sense.
N. B. Alimbekova, N. M. Oskorbin
doaj   +1 more source

Interior Hessian estimates for Sigma-2 equations in dimension three

, 2017
We prove a priori interior C2 estimate for \sigma_2 = f in R3, which generalizes Warren-Yuan's result.Comment: 21 ...
Qiu, Guohuan
core   +1 more source