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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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