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A sharp bound on the L2 norm of the solution of a random elliptic difference equation
sharp bound L2 norm random elliptic difference equation
2015/7/14
We consider a stationary solution of the Poisson equation (λ − Lω)φλ(x; ω) = −∂∗b(x; ω), where λ > 0 and Lω is a random, discrete, elliptic operator given by Lωu(x) := ∂&...
Detection and construction of an elliptic solution to the complex cubic-quintic Ginzburg-Landau equation
Detection and construction of an elliptic solution complex cubic-quintic Ginzburg-Landau equation Exactly Solvable and Integrable Systems
2012/4/26
In evolution equations for a complex amplitude, the phase obeys a much more intricate equation than the amplitude. Nevertheless, general methods should be applicable to both variables. On the example ...
Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions
Global existence nonlinear system wave and Klein-Gordon equations four space-time dimensions
2011/9/14
Abstract: In this article one will develop a so-called hyperboloidal foliation method, which is an energy method based on a foliation of space-time into hyperboloidal hypersurfaces. This method permit...
Transport equations with fractal noise - existence, uniqueness and regularity of the solution
Stochastic partial differential equations Transport equation Nonsmooth coefficients Fractional Brownian noise
2011/9/15
Abstract: The main result of the present paper is a statement on existence, uniqueness and regularity for mild solutions to a parabolic transport diffusion type equation that involves a non-smooth coe...
A large time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with non-singular scattering data
large time asymptotics the Cauchy problem non-singular scattering data Analysis of PDEs
2011/8/26
Abstract: In the present paper we are concerned with the Novikov--Veselov equation at negative energy, i.e. with the $(2 + 1)$--dimensional analog of the KdV equation integrable by the method of inver...
The global existence of the smoothing solution for the Navier-Stokes equations
smoothing solution Poisson’s equation heat-conduct equation the Schauder fixed-point theorem
2011/8/24
Abstract: This paper discussed the global existence of the smoothing solution for the Navier-Stokes equations. At first, we construct the theory of the linear equations which is about the unknown four...
An Explicit Solution to the Chessboard Pebbling Problem
Chessboard pebbling reachable configurations asymptotics
2010/12/14
We consider the chessboard pebbling problem analyzed by Chung, Graham, Morrison and Odlyzko [3]. We study the number of reachable configurations G(k) and a related double sequence G(k,m). Exact expres...
Solution for a non linear Schrödinger equation via Hopf-Cole transformation
non linear Schrö dinger equation Hopf-Cole transformation
2010/11/26
In this short letter we show that the one dimensional non linear Schr¨odinger equation(NLS)can be solved by a Hopf-Cole transformation which converts it to the Burgers equation in turbulence.
Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
Remarks Solution of the Position Dependent Mass (PDM) Schrö dinger Equation
2010/12/15
An approximate method is proposed to solve position dependent mass Schr¨odinger equation. The
procedure suggested here leads to the solution of the PDM Schr¨odinger equation without transforming the ...
Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
Remarks Solution of the Position Dependent Mass (PDM) Schrö dinger Equation
2010/12/15
An approximate method is proposed to solve position dependent mass Schr¨odinger equation. The
procedure suggested here leads to the solution of the PDM Schr¨odinger equation without transforming the ...
Properties of the extremal solution for a fourth-order elliptic problem
Properties extremal solution fourth-order elliptic problem
2010/12/6
Let ∗ > 0 denote the largest possible value of such that 2u = λ (1−u)p in B,0 < u ≤ 1 in B,u = ∂u ∂n = 0 on @B.has a solution, where B is the unit ball in Rn centered at th...
On zero-sum Stochastic Differential Games with Jump-Diffusion driven state: A viscosity solution framework
Stochastic differential games L´ evy processes dynamic programming
2010/12/13
A zero-sum differential game with controlled jump-diffusion driven state is considered, and studied using a combination of dynamic programming and viscosity solution techniques. We prove, under certai...
Profile of Blow-up Solution to Hyperbolic System with Nonlocal Term
hyperbolic system nonlocal term blow-up profile
2007/12/12
This paper is concerned with a nonlocal hyperbolic system as follows: $$\align & u_{tt}=\triangle u+\bigg( \int_\Omega vdx\bigg)^{p} \quad \textrm{for}\,\,x\in \mathbb{R}^N, \,\, t>0, \\ & v_{tt}=\tri...
The nonlinear singular perturbation problem is solved numerically on nonequidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral e...
Extrapolation of Nystrom solution for two dimensional nonlinear Fredholm integral equations
2007/7/28
期刊信息
篇名
Extrapolation of Nystrom solution for two dimensional nonlinear Fredholm integral equations
语种
英文
撰写或编译
撰写
作者
Han Guoqiang,Wang Jiong
第一作者单位
华南理工大学
刊物名称
J. Comput. Appli. Math.
页面
2001，134，259...