Results 41 to 50 of about 240,138 (261)
, 2014 The purpose is to study the Cauchy problem for non-linear in time and space pseudo-differential equations. These include the fractional in time versions of HJB equations governing the controlled scaled CTRW.
Kolokoltsov, V., Veretennikova, M.
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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 +2 more
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COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells
Molecular Oncology, EarlyView.This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos +6 more
wiley +1 more source
Physics Letters BWe 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
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Semiclassical analysis for pseudo-relativistic Hartree equations
, 2015 In this paper we study the semiclassical limit for the pseudo-relativistic Hartree equation $\sqrt{-\varepsilon^2 \Delta + m^2}u + V u = (I_\alpha * |u|^{p}) |u|^{p-2}u$ in $\mathbb{R}^N$ where $m>0$, $2 \leq p < \frac{2N}{N-1}$, $V \colon \mathbb{R}^N
Cingolani, Silvia, Secchi, Simone
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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 ...
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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 +12 more
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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 +1 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Poststroke fatigue (PSF) and frailty share substantial overlap in their manifestations, yet previous research has yielded conflicting results due to the use of heterogeneous frailty assessment tools. Objective To evaluate the independent impact of frailty on PSF using a unified measurement system (Tilburg Frailty Indicator, TFI ...
Chuan‐Bang Chen +6 more
wiley +1 more source
Journal of Harbin University of Science and Technology, 2020 Differential equations are a kind of mathematical models which have been established to solve all kinds of practical problems The existence problems of various solutions for differential equations are a main research direction Pseudo almost automorphic ...
YAO Huili +3 more
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