Results 91 to 100 of about 101,397 (323)
A note on discrete maximal regularity for functional difference equations with infinite delay
Advances in Difference Equations, 2006 Using exponential dichotomies, we get maximal regularity for retarded functional difference equations. Applications on Volterra difference equations with infinite delay are shown.
Cuevas Claudio, vidal Claudio
doaj +2 more sources
Electronic Journal of Differential Equations, 2007 It is proved under mild regularity assumptions on the data that the Navier-Stokes equations in bounded and unbounded noncylindrical regions admit a unique local-in-time strong solution.
Juergen Saal
doaj
, 2019 We consider the Cahn-Hilliard equation on manifolds with conical singularities. For appropriate initial data we show that the solution exists in the maximal $L^q$-regularity space for all times and becomes instantaneously smooth in space and time, where ...
Lopes, Pedro T. P., Roidos, Nikolaos
core
Non-Autonomous Maximal Regularity for Forms of Bounded Variation [PDF]
, 2014 We consider a non-autonomous evolutionary problem \[ u' (t)+\mathcal A (t)u(t)=f(t), \quad u(0)=u_0, \] where $V, H$ are Hilbert spaces such that $V$ is continuously and densely embedded in $H$ and the operator $\mathcal A (t)\colon V\to V^\prime$ is ...
Dier, Dominik
core
Expanding Hereditary Spastic Paraplegias Limits: Biallelic SPAST Variants in Cerebral Palsy Mimics
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Hereditary spastic paraplegias (HSP) are rare neurodegenerative disorders marked by spasticity and lower limb weakness. The most common type, SPG4, is usually autosomal dominant and caused by SPAST gene variants, typically presenting as pure HSP.
Gregorio A. Nolasco +18 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective Imaging evidence of active sacroiliitis is important for diagnosis, classification, and monitoring of axial spondyloarthritis (axSpA). However, there is no consistent guidance on whether patients should temporarily stop nonsteroidal anti‐inflammatory drugs (NSAIDs) before magnetic resonance imaging (MRI).
Gareth T. Jones +10 more
wiley +1 more source
Perturbation, interpolation, and maximal regularity
Advances in Differential Equations, 2006 We prove perturbation theorems for sectoriality and $R$--sectoriality in Banach spaces, which yield results on perturbation of generators of analytic semigroups and on perturbation of maximal $L^p$--regularity. For a given sectorial or $R$--sectorial operator $A$ in a Banach space $X$ we give conditions on intermediate spaces $Z$ and $W$ such that, for
Haak, Bernhard H. +2 more
openaire +2 more sources
Time Trends and Predictors of Gout Remission Over 6 Years
Arthritis Care &Research, EarlyView.Objective This study aims to describe the trends in remission rates over 6 years of follow‐up among people with gout taking urate‐lowering therapy (ULT) and to identify variables that predict remission. Methods A post hoc analysis was conducted using data from the Cardiovascular Safety of Febuxostat or Allopurinol in Patients with Gout (CARES) trial ...
Adwoa Dansoa Tabi‐Amponsah +5 more
wiley +1 more source
Conditions for maximal regularity of solutions to fourth-order differential equations
Қарағанды университетінің хабаршысы. Математика сериясыThis article investigates a fourth-order differential equation defined in a Hilbert space, with an unbounded intermediate coefficient and potential. The key distinction from previous research lies in the fact that the intermediate term of the equation ...
Ye.O. Moldagali, K.N. Ospanov
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Arthritis Care &Research, Accepted Article.Objectives Australian evidence on lived and care experiences of chronic musculoskeletal shoulder pain (CMSP), irrespective of disorder classification or disease, is limited. However, such evidence is important for person‐centred care and informing local service pathways and care guidelines or standards.
Sonia Ranelli +8 more
wiley +1 more source