Results 41 to 50 of about 239,614 (261)

SOLVING A NONLINEAR PSEUDO-DIFFERENTIAL EQUATION OF BURGERS TYPE

Stochastics and Dynamics, 2008
In this paper, we study the initial value problem for a class of nonlinear equations of Burgers type in the following form: [Formula: see text] for u:(t,x) ∈ (0,∞) × ℝn↦ ℝ, where q(x,D) is a pseudo-differential operator with negative definite symbol. We solve the initial value problem for the equation on ℝnby utilising a fix point argument based upon a
Jacob, Niels, Potrykus, Alexander, Wu, Jiang-Lun   +2 more
openaire   +4 more sources

Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon, Nathalie Picard, Valeria d'Andrea, Enchi Chang, Joseph Leffler, Eleonora Centofante, Matthew Taylor, Francesca Bardi, Francesca Cavicchiolo, Takao K. Hensch, Stefano Panzeri, Chinfei Chen, Michela Fagiolini   +12 more
wiley   +1 more source

Kadomtsev-Petviashvili hierarchies with non-formal pseudo-differential operators, non-formal solutions, and a Yang-Mills–like formulation

Physics Letters B
We start from the classical Kadomtsev-Petviashvili (KP) hierarchy posed on formal pseudo-differential operators, and we produce new hierarchies of non-linear equations in the context of non-formal pseudo-differential operators lying in the Kontsevich and
Jean-Pierre Magnot, Enrique G. Reyes
doaj   +1 more source

On some perturbations of a stable process and solutions to the Cauchy problem for a class of pseudo-differential equations

Karpatsʹkì Matematičnì Publìkacìï, 2015
A fundamental solution for some class of pseudo-differential equations is constructed by the method based on the theory of perturbations. We consider a symmetric $\alpha$-stable process in multidimensional Euclidean space. Its generator $\mathbf{A}$ is a
M.M. Osypchuk
doaj   +1 more source

Pseudo-differential operators, equations and boundary value problems [PDF]

AIP Conference Proceedings, 2018
We consider pseudo-differential operators in a bounded domain of Euclidean m-dimensional space. A boundary of the domain is a smooth surface excluding some points or smooth sub-surfaces which are singular points of the ...
openaire   +2 more sources

Impact of Asymptomatic Intracranial Hemorrhage on Outcome After Endovascular Stroke Treatment

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Endovascular treatment (EVT) achieves high rates of recanalization in acute large‐vessel occlusion (LVO) stroke, but functional recovery remains heterogeneous. While symptomatic intracranial hemorrhage (sICH) has been well studied, the prognostic impact of asymptomatic intracranial hemorrhage (aICH) after EVT is less certain ...
Shihai Yang, Chengsong Yue, Zhuang Li, Xiaolei Shi, Haoxuan Zhu, Jie Yang, Linyu Li, Jiaxing Song, Shitao Fan, Gaoming Li, Wenzhe Sun, Zhixian Ye, Jiacheng Huang, Dahong Yang, Jinfu Ma, Xu Xu, Zhixi Wang, Lilan Wang, Guojian Liu, Fengli Li, Changwei Guo, Li Qi, Wenjie Zi   +22 more
wiley   +1 more source

Ground states for pseudo-relativistic Hartree equations of critical type

, 2012
We study the existence of ground state solutions for a class of non-linear pseudo-relativistic Schr\"odinger equations with critical two-body interactions. Such equations are characterized by a nonlocal pseudo-differential operator closely related to the
Nolasco, Margherita, Zelati, Vittorio Coti   +1 more
core   +1 more source

Functional and Structural Evidence of Neurofluid Circuit Aberrations in Huntington Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Disrupted neurofluid regulation may contribute to neurodegeneration in Huntington disease (HD). Because neurofluid pathways influence waste clearance, inflammation, and the distribution of central nervous system (CNS)–delivered therapeutics, understanding their dysfunction is increasingly important as targeted treatments emerge.
Kilian Hett, Abigail Dubois, Melanie Leguizamon, Alexander Song, Paula Trujillo, Colin D. McKnight, Ciaran M. Considine, Manus J. Donahue, Daniel O. Claassen   +8 more
wiley   +1 more source

Weighted pseudo almost automorphic functions with applications to impulsive fractional integro-differential equation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
This paper’s main motivation is to study the notion of weighted pseudo almost automorphic (𝒲𝒫𝒜𝒜) functions and establish the existence results of piecewise continuous mild solution of fractional order integro-differential equation with instantaneous ...
Kavitha Velusamy, Arjunan Mani Mallika, Baleanu Dumitru, Grayna Jeyakumar   +3 more
doaj   +1 more source

Existence and multiplicity results for resonant fractional boundary value problems

, 2017
We study a Dirichlet-type boundary value problem for a pseudo-differential equation driven by the fractional Laplacian, with a non-linear reaction term which is resonant at infinity between two non-principal eigenvalues: for such equation we prove ...
Iannizzotto, Antonio, Papageorgiou, Nikolaos S.   +1 more
core   +1 more source