Existence and uniqueness of solution of free boundary problems with partially degenerate diffusion [PDF]
Siyu Liu, Mingxin Wang
openalex +1 more source
ABSTRACT Pathogenic variants in KIF1C cause Spastic Paraplegia 58 (SPG58), typically presenting with cerebellar ataxia and spastic paraparesis. We report two unrelated patients with spastic paraparesis, cerebellar ataxia, and tremor. Whole‐exome sequence analysis identified novel homozygous variants in the motor domain of KIF1C (NM_006612.6): c.921G>A (
Akihiko Mitsutake +12 more
wiley +1 more source
Reaction diffusion equations with boundary degeneracy
In this article, we consider the reaction diffusion equation $$ \frac{\partial u}{\partial t} = \Delta A(u),\quad (x,t)\in \Omega \times (0,T), $$ with the homogeneous boundary condition.
Huashui Zhan
doaj
A selection procedure for extracting the unique Feller weak solution of degenerate diffusions [PDF]
Sumith Reddy Anugu, Vivek S. Borkar
openalex +1 more source
Post‐COVID Fatigue Is Associated With Reduced Cortical Thickness After Hospitalization
ABSTRACT Objective Neuropsychiatric symptoms are among the most prevalent sequelae of COVID‐19, particularly among hospitalized patients. Recent research has identified volumetric brain changes associated with COVID‐19. However, it currently remains poorly understood how brain changes relate to post‐COVID fatigue and cognitive deficits.
Tim J. Hartung +190 more
wiley +1 more source
Association of Corticospinal Tract Asymmetry With Ambulatory Ability After Intracerebral Hemorrhage
ABSTRACT Background Ambulatory ability after intracerebral hemorrhage (ICH) is important to patients. We tested whether asymmetry between ipsi‐ and contra‐lesional corticospinal tracts (CSTs) assessed by diffusion tensor imaging (DTI) is associated with post‐ICH ambulation.
Yasmin N. Aziz +25 more
wiley +1 more source
Metastable diffusions with degenerate drifts
We study the spectrum of the semiclassical Witten Laplacian Δ f associated to a smooth function f on ℝ d . We assume that f is a confining Morse–Bott function. Under this assumption we show that Δ f admits exponentially small eigenvalues separated from the rest of the spectrum. Moreover, we establish Eyring–Kramers formula for these eigenvalues.
Assal, Marouane +2 more
openaire +3 more sources
Glymphatic Dysfunction Reflects Post‐Concussion Symptoms: Changes Within 1 Month and After 3 Months
ABSTRACT Objective Mild traumatic brain injury (mTBI) may alter glymphatic function; however, its progression and variability remain obscure. This study examined glymphatic function following mTBI within 1 month and after 3 months post‐injury to determine whether variations in glymphatic function are associated with post‐traumatic symptom severity ...
Eunkyung Kim +3 more
wiley +1 more source
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations [PDF]
Marco Di Francesco, Daniel Matthes
openalex +2 more sources
Approximate Controllability of the Degenerate System with the First-Order Term
We consider the approximate controllability of the degenerate system with the first-order term. The first-order term in the equation cannot be controlled by the diffusion term.
Runmei Du
doaj +1 more source

