Results 41 to 50 of about 204,887 (266)

Mild solutions for a class of fractional SPDEs and their sample paths [PDF]

Journal of Evolution Equations, 2009
In this article we introduce and analyze a notion of mild solution for a class of non-autonomous parabolic stochastic partial differential equations defined on a bounded open subset $D\subset\mathbb{R}^{d}$ and driven by an infinite-dimensional fractional noise.
Sanz-Solé, Marta, Vuillermot, Pierre-A.
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Probabilistic representation for mild solution of the Navier–Stokes equations [PDF]

Mathematical Research Letters, 2021
This paper is based on a formulation of the Navier-Stokes equations developed by Iyer and Constantin \cite{Cont} , where the velocity field of a viscous incompressible fluid is written as the expected value of a stochastic process. Our contribution is to establish this probabilistic representation formula for mild solutions of the Navier-Stokes ...
openaire   +2 more sources

Acute Neurological Events in Children With Hemoglobin SC Disease: A Multicenter Retrospective Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Neurological manifestations in children with hemoglobin SC (HbSC) disease remain insufficiently characterized, particularly regarding acute events. The aim of this study was to describe the spectrum and frequency of acute neurological events in a multicenter cohort of children with HbSC disease.
Célia Paulmin, Bérengère Koehl, Audrey Maudoux, Hanine Mansour, Marie‐Hélène Odievre, Nathalie Garrec, Emilie Georget, Cécile Arnaud, Slimane Allali, Lydia Doumdo, Marie Belloy, Corinne Guitton   +11 more
wiley   +1 more source

Existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay [PDF]

Surveys in Mathematics and its Applications, 2014
In this article, we study the existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay. The results are obtained by using the Banach contraction principle.
V. Vijayakumar, C. Ravichandran, R. Murugesu   +2 more
doaj  

Improvement of Sickle Cell Disease Care Mitigates the Healthcare Utilization Induced by Increased Prevalence: Experience of a Tertiary Pediatric Center

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Sickle cell disease (SCD) has undergone major changes in the last decades. Its prevalence has been steadily increasing and numerous advances have been made in the management of the disease. However, the effect in real‐life setting of these major changes is unknown, particularly in a Canadian environment. Procedure We aimed to assess
Maude Cigna, Alexia Muresan, Estelle Lecluze, Karine Leduc, Nathalie Fournier, Maria Tamer, Jean‐François Delisle, Jeremi Charbonneau, Annie Viau, Jessica Darilus, Marie‐Joëlle Doré‐Bergeron, Valérie Arsenault, Evelyne Doyon‐Trottier, Stéphanie Forte, Nancy Robitaille, Yves Pastore, Thomas Pincez   +16 more
wiley   +1 more source

Existence of Mild Solutions to Delay Diffusion Equations with Hilfer Fractional Derivative

Fractal and Fractional
Because of the prevalent time-delay characteristics in real-world phenomena, this paper investigates the existence of mild solutions for diffusion equations with time delays and the Hilfer fractional derivative.
Yuhang Jin, Wenchang He, Luyao Wang, Jia Mu   +3 more
doaj   +1 more source

Existence of the Mild Solution for Impulsive Semilinear Differential Equation [PDF]

International Journal of Partial Differential Equations, 2014
We study the existence of solutions of impulsive semilinear differential equation in a Banach space X in which impulsive condition is not instantaneous. We establish the existence of a mild solution by using the Hausdorff measure of noncompactness and a fixed point theorem for the convex power condensing operator.
Chadha, Alka, Pandey, Dwijendra N.
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Infant Embryonal CNS Tumors: Molecular Insights and Treatment Considerations for Contemporary Pediatric Neuro‐Oncology

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Embryonal tumors comprise the majority of malignant central nervous system (CNS) neoplasms diagnosed in children under 3 years of age. Compared with their counterparts in older children, these tumors exhibit distinct molecular biology and a more aggressive clinical phenotype, while their management is complicated by the heightened ...
Sudarshawn Damodharan, Mariah Wright‐Nadkarni, Mohamed S. Abdelbaki, Girish Dhall   +3 more
wiley   +1 more source

Existence of Mild Solutions for Fractional Integrodifferential Equations with Hilfer Derivatives

Mathematics
In this paper, we study the existence of solutions for fractional integrodifferential equations with Hilfer derivatives. We establish some new existence theorems for mild solutions by using Schaefer’s fixed-point theorem, a measure of noncompactness, and
Mian Zhou, Yong Zhou
doaj   +1 more source

Mild solutions for the one-dimensional Nordström–Vlasov system [PDF]

Nonlinearity, 2007
The Nordstrom-Vlasov system describes the evolution of a population of self-gravitating collisionless particles. We study the existence and uniqueness of mild solution for the Cauchy problem in one dimension. This approach does not require any derivative for the initial particle density.
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