国家自然科学基金(11131005)

作品数：7被引量：19H指数：2
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SOLVABILITY OF A PARABOLIC-HYPERBOLIC TYPE CHEMOTAXIS SYSTEM IN 1-DIMENSIONAL DOMAIN被引量：6
《Acta Mathematica Scientia》2016年第5期1285-1304,共20页陈化 吕文斌 吴少华 
Supported by the National Natural Science Foundation of China(11131005);the Fundamental Research Funds for the Central Universities(2014201020202)
In this paper, we use contraction mapping principle, operator-theoretic approach and some uniform estimates to establish local solvability of the parabolic-hyperbolic type chemotaxis system with fixed boundary in 1-di...
关键词：parabolic-hyperbolic system free boundary chemotaxis model local existence 
Lower and upper bounds of Dirichlet eigenvalues for totally characteristic degenerate elliptic operators被引量：2
《Science China Mathematics》2014年第11期2235-2246,共12页CHEN Hua QIAO RongHua LUO Peng XIAO DongYuan 
supported by National Natural Science Foundation of China(Grant No.11131005)
Let λkbe the k-th Dirichlet eigenvalue of totally characteristic degenerate elliptic operator-ΔB defined on a stretched cone B0 ■ [0,1) × X with boundary on {x1 = 0}. More precisely,ΔB=(x1αx1)2+ α2x2+ + α2xnis...
关键词：cone Laplacian cone Sobolev spaces Dirichlet eigenvalues upper bounds of eigenvalues lower bounds of eigenvalues 
A priori bounds for a class of semi-linear degenerate elliptic equations
《Science China Mathematics》2014年第9期1911-1926,共16页HUANG GengGeng 
supported by National Natural Science Foundation of China(Grant No.11131005)
In this paper,we mainly discuss a priori bounds of the following degenerate elliptic equation,a^ ij（x）δij u＋b^ i（x）δiu＋f（x,u）=0,in Ω belong to belong toR^n,（＊）where a^ijδiφδjφ=0 on δΩ,andφis the d...
关键词：degenerate elliptic equations CHARACTERISTIC semi-linear elliptic equations 
ENDPOINT ESTIMATES FOR THE COMMUTATOR OF PSEUDO-DIFFERENTIAL OPERATORS被引量：2
《Acta Mathematica Scientia》2014年第2期387-393,共7页杨杰 王宇钊 陈文艺 
supported by the National Science Foundation of China NSFC(11161044,11131005)
It is well known that the commutator Tb of the Calderbn-Zygmund singular integral operator is bounded on LP（Rn） for 1 〈 p 〈 ＋∞ if and only if b E BMO [1]. On the other hand, the commutator Tb is bounded from H1...
关键词：Hardy space COMMUTATOR Pseudo-differential operator LMO space 
Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrodinger-Poisson System被引量：1
《Communications in Computational Physics》2013年第5期1357-1388,共32页Yong Zhang 
supported by Ministry of Education of Singapore grant R-146-000-120-112;the National Natural Science Foundation of China(Grant No.11131005);the Doctoral Programme Foundation of Institution of Higher Education of China(Grant No.20110002110064).
We study compact finite difference methods for the Schrodinger-Poisson equation in a bounded domain and establish their optimal error estimates under proper regularity assumptions on wave functionψand external potent...
关键词：Schrodinger-Poisson system Crank-Nicolson scheme semi-implicit scheme compact finite difference method Gronwall inequality the maximum principle 
Existence and regularity of solutions to semi-linear Dirichlet problem of infinitely degenerate elliptic operators with singular potential term被引量：1
《Science China Mathematics》2013年第4期687-706,共20页CHEN Hua LUO Peng TIAN ShuYing 
supported by National Natural Science Foundation of China (Grant No.11131005);PHD Programs Foundation of Ministry of Education of China (Grant No. 20090141110003);the Fundamental Research Funds for the Central Universities (Grant No. 2012201020202)
In this paper,we study the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic equations with singular potential term.By using the logarithmic Sobolev inequality and Hardy's inequality,the exis...
关键词：infinitely degenerate elliptic equations logarithmic Sobolev inequality Hardy＇s inequality singular potential term 
GLOBAL EXISTENCE, UNIFORM DECAY AND EXPONENTIAL GROWTH FOR A CLASS OF SEMI-LINEAR WAVE EQUATION WITH STRONG DAMPING被引量：7
《Acta Mathematica Scientia》2013年第1期41-58,共18页陈化 刘功伟 
partially supported by the NSFC(11131005)
In this paper, we consider the nonlinearly damped semi-linear wave equation associated with initial and Dirichlet boundary conditions. We prove the existence of a local weak solution and introduce a family of potentia...
关键词：strong damping nonlinear damping global existence polynomial decay exponential decay exponential growth 
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