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Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE’s with a Small Parameter
Quasi linear parabolic equations parameters quasi linear initial boundary value
2015/9/28
In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time beh...
Averaging principle for quasi-linear parabolic PDE’s and related diffusion processes
Quasi linear disturbance two dimensional flow parabola and small parameter
2015/9/28
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDE’s with a small parameter at the second order derivatives are considered in th...
Boundary behavior for a singular quasi-linear elliptic equation
Singular elliptic equations quasi-linear elliptic equations qualitative behavior
2012/4/17
In a smooth bounded domain we obtain existence, uniqueness, regularity and boundary behavior for a class of singular quasi-linear elliptic equations.
Global compactness for a class of quasi-linear elliptic problems
Quasi-linear equations global compactness of Palais-Smale sequences
2011/9/15
Abstract: We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.
An O(k2+kh2+h2) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations
Quasi-Linear Parabolic Equation, Implicit Method, Cubic Spline Approximation, Diffusion-Convection Equation, Singular Equation, Burgers’ Equation, Reynolds Number
2013/1/30
In this piece of work, using three spatial grid points, we discuss a new two-level implicit cubic spline method of O(k2 + kh2 + h4) for the solution of quasi-linear parabolic equation , 0< x <1, t > 0...
Boundary Homogenization for a Quasi-Linear Elliptic Problem with Dirichlet Boundary Conditions Posed on Small Inclusions Distributed on the Boundary
Boundary Homogenization Dirichlet Boundary Conditions Quasi-Linear Elliptic Problem
2009/1/22
We describe the asymptotic behaviour of the solution of a quasi-linear elliptic problem posed in a domain of $\R^n$, $n\geq 3$ and with homogeneous Dirichlet boundary conditions imposed on small zones...
Lifespan of Classical Solutions to Quasi-linear Hyperbolic Systems with Small BV Normal Initial Data
Quasi-linear hyperbolic system Weakly linear degeneracy Matching condition Normalized Coordinates Blow-up Lifespan.
2018/4/20
In this paper, we first give a lower bound of the lifespan and some estimates of classical solutions to the Cauchy problem for general quasi-linear hyperbolic systems, whose characteristic fields are ...
Global Existence of Small Solutions for Cubic Quasi-linear Klein-Gordon Systems in one Space Dimension
Cubic Quasi-linear Klein--Gordon systems One space dimension Global existence Asym-ptotic behavior
2007/12/12
In this paper, we consider a system of two cubic quasi-linear Klein--Gordon equations with different masses for small, smooth, compactly supported Cauchy data in one space dimension. We show that such...
期刊信息
篇名
【4】Optimal control of the obstacle in a quasi-linear elliptic variational inequality
语种
英文
撰写或编译
作者
叶玉全,陈启宏
第一作者单位
刊物名称
Journal of Mathematical Analysis & Applications
页面
Vol 294, 258-272, (20...
A Quasi-Linear Manifolds and Quasi-Linear Mapping Between Them
Quasi-Linear Manifolds Quasi-Linear Mapping
2010/2/26
In this article a special class of Banach manifolds (called QL-manifolds) and mapping between them (QL-mappings) are introduced and some examples are given.
Generalized Solutions of a Class of Linear and Quasi-Linear Degenerated Hyperbolic Equations
Linear Quasi-Linear Degenerated Hyperbolic Equations
2010/3/3
The equation L(u):=k(y)uxx-\partialy(\ell(y)uy)+r(x,y)u=f(x,y,u), where k(y)>0, \ell(y)>0 for y>0,k(0)=\ell(0)=0 and limy\rightarrow 0k(y)/\ell(y) exists, is strictly hyperbolic for y>0 and its order ...
In this article, for the purpose of expanding to the mappings between Banach manifolds, a degree is determined in for the mappings between Banach spaces, which are from the obvious class.