Results 111 to 120 of about 4,806,779 (356)
Existence and blow up for viscoelastic hyperbolic equations with variable exponents
In this article, we consider a nonlinear viscoelastic hyperbolic problem with variable exponents. By using the Faedo$ - $Galerkin method and the contraction mapping principle, we obtain the existence of weak solutions under suitable assumptions on the ...
Ying Chu, Bo Wen, Libo Cheng
doaj +1 more source
Optimum Trade-offs Between the Error Exponent and the Excess-Rate Exponent of Variable-Rate Slepian-Wolf Coding [PDF]
We analyze the optimal trade-off between the error exponent and the excess-rate exponent for variable-rate Slepian-Wolf codes. In particular, we first derive upper (converse) bounds on the optimal error and excess-rate exponents, and then lower (achievable) bounds, via a simple class of variable-rate codes which assign the same rate to all source ...
arxiv
ABSTRACT Objective Music interventions have been shown to have beneficial effects on hemodynamic parameters, pain, and anxiety in various medical settings. However, music interventions in the setting of acute stroke have not been studied. The objective of this trial was to perform a pilot feasibility study of music interventions in the setting of acute
Jeffrey J. Fletcher+7 more
wiley +1 more source
Existence of solutions for some nonlinear elliptic unilateral problems with measure data
In this paper we prove the existence of entropy solution to unilateral problems associated to the equations of the type: $Au-div(\phi(u))=\mu\in L^{1}(\Omega)+W^{-1,p'(x)}(\Omega)$, where $A$ is a Leray-Lions operator acted from $W_{0}^{1,p(x)}(\Omega ...
Chihab Yazough+2 more
doaj +1 more source
Correspondence of MRI and nTMS With EDSS in Multiple Sclerosis: Longitudinal Follow‐Up Study
ABSTRACT Objectives Considering the characteristics of multiple sclerosis (MS) disease and its impact on motor disability, this study aims to assess the functional integrity of the corticospinal tract by examining motor evoked potentials (MEPs), Expanded Disability Status Scale (EDSS) scores, magnetic resonance imaging (MRI) lesion counts, and ...
Antonia Bralić+13 more
wiley +1 more source
Generalized Nikolskii's property and asymptotic exponent in Markov's inequality [PDF]
We introduce an asymptotic Markov's exponent and show that it is equal to Markov's exponent for a wide class of norms. As a consequence we obtain a lower bound for the optimal exponent in Markov's inequality considered with the norms possessing Nikolskii type property.
arxiv
ABSTRACT Objective Quantitative markers of cortical excitability may help identify responders to anti‐seizure medications (ASMs). We studied the relationship between ASM load and two electroencephalography (EEG) markers of cortical excitability in people with refractory epilepsy. Methods We included individuals with refractory focal epilepsy undergoing
Silvano R. Gefferie+7 more
wiley +1 more source
Three solutions for second-order boundary-value problems with variable exponents
This paper presents several sufficient conditions for the existence of at least three weak solutions of a nonhomogeneous Neumann problem for an ordinary differential equation with $p(x)$-Laplacian operator. The technical approach is variational, based on
Shapour Heidarkhani+2 more
doaj +1 more source
On an Interesting Class of Variable Exponents
Let $\mathcal{M}(\mathbb{R}^n)$ be the class of functions $p:\mathbb{R}^n\to[1,\infty]$ bounded away from one and infinity and such that the Hardy-Littlewood maximal function is bounded on the variable Lebesgue space $L^{p(\cdot)}(\mathbb{R}^n)$. We denote by $\mathcal{M}^*(\mathbb{R}^n)$ the class of variable exponents $p\in\mathcal{M}(\mathbb{R}^n ...
Karlovich, Alexei Yu.+1 more
openaire +2 more sources
Clinical Trial Readiness in Limb Girdle Muscular Dystrophy R1 (LGMDR1): A GRASP Consortium Study
ABSTRACT Objective Identifying functional measures that are both valid and reliable in the limb girdle muscular dystrophy (LGMD) population is critical for quantifying the level of functional impairment related to disease progression in order to establish clinical trial readiness in the context of anticipated therapeutic trials.
Stephanie M. Hunn+29 more
wiley +1 more source