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...
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-...
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 ...
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...
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 ...
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.
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 ...
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 ...
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...
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...