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Exact Boundary Controllability of Fifth-order KdV Equation Posed on the Periodic Domain
《Journal of Partial Differential Equations》2022年第2期163-172,共10页YANG Shuning ZHAO Xiangqing 
supported by the Zhejiang Provincial Natural Science Foundation of China(No.LY18A010024);National Natural Science Foundation of China(No.12075208).
In this paper,we show by Hilbert Uniqueness Method that the boundary value problem of fifth-order KdV equation{y_(t)-y_(5x)=0,(x,t)∈(0,2π)×(0,T),y(t,2π)-y(t,0)=h_(0)(t),y_(x)(t,2π)-y_(x)(t,0)=h_(1)(t),y_(2x)(t,2...
关键词:Fifth-order KdV equation Hilbert Uniqueness Method exact controllability 
Well-Posedness of Solutions for Sixth-Order Cahn-Hilliard Equation Arising in Oil-Water-Surfactant Mixtures
《Journal of Partial Differential Equations》2020年第3期193-207,共15页MENG Haichao ZHAO Xiaopeng 
supported by the NSFC(grant No.11401258);NSF of Jiangsu Province(grant No.BK20140130);China Postdoctoral Science Foundation(grant No.2015M581-689)。
In this paper,by using the Lp-Lq-estimates,regularization property of the linear part of e^-t△3 and successive approximations,we consider the existence and uniqueness of global mild solutions to the sixth-order Cahn-...
关键词:Global solution sixth order Cahn-Hilliard equation UNIQUENESS oil-water-surfactant mixtures 
A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter
《Journal of Partial Differential Equations》2018年第3期214-223,共10页RUZIEV M.Kh. 
In this paper, the Dirichlet problem in the vertical half-band for the degenerated elliptic equation with singular coefficient and spectral parameter is investigated. Using the Hankel transformation and the method of ...
关键词:Half-band Hankel transformation SERIES the Fourier method UNIQUENESS EXISTENCE 
Existence and Uniqueness of Positive Radial Solutions for a Class of Quasilinear Elliptic Systems被引量:1
《Journal of Partial Differential Equations》2015年第4期370-382,共13页LI Qin YANG Zuodong 
This work was supported by the National Natural Science Foundation of China (No. 1117 -1092 and 11471164); the Graduate Students Education and Innovation of Jiangsu Province (No. KYZZ_0209) and the Natural Science Foundation of Educational Department of Jiangsu Province (No. 08KJB110005).
This article is concerned with the existence and uniqueness of positive radial solutions for a class of quasilinear elliptic system. With some reasonable assumptions on the nonlinear source functions and their coeffic...
关键词:Quasilinear elliptic equation(system) EXISTENCE UNIQUENESS fixed point theorem the maximum principle 
Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade
《Journal of Partial Differential Equations》2014年第2期95-114,共20页BOUSBIH Hafedh MAJDOUB Mohamed 
In this paper we study the equations governing the unsteady motion of an incompressible homogeneous generalized second grade fluid subject to periodic boundary conditions. We establish the existence of global-in-time ...
关键词:Non-Newtonian fluids generalized second grade fluids shear rate dependent viscosity EXISTENCE UNIQUENESS strong solution. 
A Uniqueness Theorem for Linear Wave Equations
《Journal of Partial Differential Equations》2013年第4期289-299,共11页WHITMAN Phillip YU Pin 
The classical Huygens' principle asserts that the initial data of a wave equa- tion determines the wave propagation in the domain of dependence of the support of the data. We provide a converse version of this theorem.
关键词:Wave equation uniqueness. 
Existence, Uniqueness and Blow-Up Rate of Large Solutions of Quasi-Linear Elliptic Equations with Higher Order and Large Perturbation
《Journal of Partial Differential Equations》2013年第3期226-250,共25页ZHANG Qihu ZHAO Chunshan 
Acknowledgments Research is partly supported by the National Science Foundation of China (10701066 & 10971087).
We establish the existence, uniqueness and the blow-up rate of the large positive solution of the quasi-linear elliptic problem -△pu=λ(x)u^θ-1-b(x)h(u), in Ω,with boundary condition u = +∞ on δΩ, where ...
关键词:Blow up rate large positive solution quasi-linear elliptic problem uniqueness. 
Mild Solution of Stochastic Equations with Levy Jumps: Existence, Uniqueness, Regularity and Stability被引量:1
《Journal of Partial Differential Equations》2013年第3期251-288,共38页ZHOU Guoli GUO Boling HOU Zhenting 
The existence and uniqueness of mild solution to stochastic equations with jumps are established, a stochastic Fubini theorem and a type of Burkholder-Davis- Gundy inequality are proved, and the two formulas are used ...
关键词:Stochastic evolution equation Levy processes mild solution stability. 
Global Existence and Uniqueness of Solutions to Evolution p-Laplacian Systems with Nonlinear Sources
《Journal of Partial Differential Equations》2013年第1期1-13,共13页WEI Yingjie GAO Wenjie 
This paper presents the global existence and uniqueness of the initial and boundary value problem to a system of evolution p-Laplacian equations coupled with general nonlinear terms. The authors use skills of inequali...
关键词:GLOBAL EXISTENCE UNIQUENESS DEGENERATE P-LAPLACIAN systems 
Symmetry and Uniqueness of Solutions of an Integral System
《Journal of Partial Differential Equations》2011年第4期351-360,共10页ZHANG Zhengce JIANG Minji 
In this paper, we study the positive solutions for a class of integral systems and prove that all the solutions are radially symmetric and monotonically decreasing about some point. Moreover, we also obtain the unique...
关键词:Radial symmetry UNIQUENESS integral system moving plane method. 
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