FOURTH_ORDER

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On a Critical Fourth Order PDE with Navier Boundary Condition
《Acta Mathematica Sinica,English Series》2019年第12期1906-1916,共11页Khadijah SHARAF 
We consider a fourth order nonlinear PDE involving the critical Sobolev exponent on a bounded domain of R^n,n≥5 with Navier condition on the boundary.We study the lack of compactness of the problem and we provide an ...
关键词：FOURTH order PDE CRITICAL nonlinearity VARIATIONAL problem CRITICAL points at INFINITY 
Unconditional Uniqueness of Solution for Hsc Critical 4th Order NLS in High Dimensions
《Acta Mathematica Sinica,English Series》2018年第6期1028-1036,共9页Chao LU Jing LU 
Supported by China Postdoctoral Science Foundation(Grant No.2017M620660)
In this paper, we study the unconditional uniqueness of solution for the Cauchy problem of H^·^Sc（0≤Sc〈2） critical nonlinear fourth-order Schrodinger equations iδtu＋Δ^2u-εu=λ｜u｜^αu.By employing paraproduc...
关键词：Unconditional uniqueness paraproduct estimates Besov spaces fourth order nonlinear Schrodinger equation 
Scattering Theory for the Defocusing Fourth Order NLS with Potentials被引量：2
《Acta Mathematica Sinica,English Series》2018年第4期773-786,共14页Hong Liang FENG Hua WANG Xiao Hua YAO 
supported by the China National Science Foundation(Grant Nos.11371158 and 11771165);the second author is supported by the China National Science Foundation(Grant Nos.11101172 and 11571131)
Based on the endpoint Strichartz estimates for the fourth order SchrSdinger equation with potentials for n ≥ 5 by [Feng, H., Softer, A., Yao, X.： Decay estimates and Strichartz estimates of the fourth-order Schr6din...
关键词：Fourth order NLS potential morawetz estimate SCATTERING 
The Bipolar Quantum Drift-diffusion Model被引量：5
《Acta Mathematica Sinica,English Series》2009年第4期617-638,共22页Xiu Qing CHEN Li CHEN 
Supported by the Natural Science Foundation of China （No. 10571101, No. 10626030 and No. 10871112）
A fourth order parabolic system, the bipolar quantum drift-diffusion model in semiconductor simulation, with physically motivated Dirichlet-Neumann boundary condition is studied in this paper. By semidiscretization in...
关键词：quantum drift-diffusion fourth order parabolic system weak solution semiclassical limit exponential decay 
Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems被引量：2
《Acta Mathematica Sinica,English Series》2006年第6期1825-1830,共6页Zhan Bing BAI Wei Gao GE 
This work is supported by the National Nature Science Foundation of China(10371006)
In this paper, we generalize the fixed point theorem of cone expansion and compression of norm type to the theorem of functional type. As an application, the existence of positive solutions for some fourth-order beam ...
关键词：fourth-order boundary value problem fixed point theorem positive solution 
Oscillatory and Asymptotic Behaviour of Fourth Order Nonlinear Difference Equations被引量：3
《Acta Mathematica Sinica,English Series》1997年第1期105-115,共11页Yan Jurang (Department of Mathematics,Shanxi University,Taiyuan,030006,China)Liu Bin (Department of Mathematics,Hubei Normal University,Huangshi,435002,China) 
Partially Supported by the National Science Foundation of China
This paper considers a class of fourth order nonlinear difference equations Δ2（rnΔ2yn）+ f（n,yn）=0,n∈N（n0）,where f（n,y）may be classified as s...
关键词：Nonlinear difference equation OSCILLATION Asymptotic behaviour. 
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