Results 81 to 90 of about 11,024 (266)
Electronic Journal of Differential Equations, 2018 This article shows Carleman estimate and null controllability of a cascade control system governed by the semilinear degenerate parabolic equations with the general convection terms.
Jianing Xu, Chunpeng Wang, Yuanyuan Nie
doaj
The Degenerate Neumann Problem and Degenerate Diffusions with Venttsel's Boundary Conditions
The Annals of Probability, 1981 A stochastic solution of the Neumann problem is obtained, when the second order elliptic operator $L$ is degenerate at the boundary of the domain. Let $D$ be a domain in $R^n$ with the smooth boundary $\partial D$, and the second order elliptic operator $L$ be defined in $R^n$.
openaire +3 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Super‐Refractory Status Epilepticus (SRSE) is a rare, life‐threatening neurological emergency with unclear etiology in many cases. Mitochondrial dysfunction, often due to disease‐causing genetic variants, is increasingly recognized as a cause, with each gene producing distinct pathophysiological mechanisms.
Pouria Mohammadi +2 more
wiley +1 more source
Reaction diffusion equations with boundary degeneracy
Electronic Journal of Differential Equations, 2016 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
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Approximate Controllability of the Degenerate System with the First-Order Term
Journal of Function Spaces, 2015 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
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Studying behavior of the asymptotic solutions to P-Laplacian type diffusion-convection model [PDF]
مجلة جامعة الانبار للعلوم الصرفةThe rescaling method is presented to allow us to establish nonnegative local solutions to the evolution of the Cauchy problem (CP) of the nonlinear degenerate parabolic p-Laplacian process with conservation laws that are posed in one-dimensional space ...
Habeeb Aal-Rkhais, Ruba Qasim
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background and Objectives Multiple sclerosis (MS) exhibits racially disparate rates of disease progression. Black people with MS (B‐PwMS) experience a more severe disease course than non‐Hispanic White people with MS (NHW‐PwMS). Here we investigated structural and functional connectivity as well as structure–function decoupling in the ...
Emilio Cipriano +11 more
wiley +1 more source
Quenching for singular and degenerate quasilinear diffusion equations
Electronic Journal of Differential Equations, 2013 This article concerns the quenching phenomenon of the solution to the Dirichlet problem of a singular and degenerate quasilinear diffusion equation. It is shown that there exists a critical length for the special domain in the sense that the solution ...
Yuanyuan Nie, Chunpeng Wang, Qian Zhou
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On Solutions to Nonlinear Reaction–Diffusion–Convection Equations with Degenerate Diffusion
Journal of Differential Equations, 2001 The authors present some results about the regularity of solutions to the general reaction-diffusion-convection equation \[ u_t=\Delta G(u)+\sum_{i=1}^N [f_i(u)]_{x_i}+h(u). \] The introduction of the paper gives a brief account of the already known regularity properties of the solutions of the equations falling in this general class as well as some ...
Lu, Yunguang, Jäger, Willi
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
wiley +1 more source