共查询到20条相似文献,搜索用时 15 毫秒
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João R. Santos Júnior Gaetano Siciliano 《Mathematical Methods in the Applied Sciences》2017,40(10):3493-3503
In this paper, we consider a generalized Kirchhoff equation in a bounded domain under the effect of a sublinear nonlinearity. Under suitable assumptions on the data of the problem, we show that, with a simple change of variable, the equation can be reduced to a classical semilinear equation and then studied with standard tools. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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The initial boundary value problem for a Kirchhoff equation with Lipschitz type continuous coefficient is studied on bounded domain. Under some conditions, the energy decaying and blow-up of solution are discussed. By refining method, the exponent decay estimates of the energy function and the estimates of the life span of blow-up solutions are given. 相似文献
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利用凸性方法得到了具动力边界条件的半线性Kirchhoff方程整体解的不存在性. 相似文献
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Samir Karaa 《Numerical Functional Analysis & Optimization》2013,34(7):750-767
We consider a family of fully discrete finite element schemes for solving a viscous wave equation, where the time integration is based on the Newmark method. A rigorous stability analysis based on the energy method is developed. Optimal error estimates in both time and space are obtained. For sufficiently smooth solutions, it is demonstrated that the maximal error in the L 2-norm over a finite time interval converges optimally as O(h p+1 + Δt s ), where p denotes the polynomial degree, s = 1 or 2, h the mesh size, and Δt the time step. 相似文献
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本文研究了一类发展方程的适定性问题和混合方法,征明了连续问题和离散问题解的存在唯一性,并对离散解作了误差估计. 相似文献
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对一类变形的变分不等式:求,使得提出了一类投影收缩算法,并得到了该算法的收敛性及相关性质. 相似文献
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Weak solutions of the spatially inhomogeneous (diffusive) Aizenmann–Bak model of coagulation-breakup within a bounded domain with homogeneous Neumann boundary conditions are shown to converge, in the fast reaction limit, towards local equilibria determined by their mass. Moreover, this mass is the solution of a nonlinear diffusion equation whose nonlinearity depends on the (size-dependent) diffusion coefficient. Initial data are assumed to have integrable zero order moment and square integrable first order moment in size, and finite entropy. In contrast to our previous result [5], we are able to show the convergence without assuming uniform bounds from above and below on the number density of clusters. 相似文献
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讨论了一类带阻尼项的n维Klein Gordon方程的柯西问题,观察到其线性方程的耗散结构是正则耗散型,这将意味着在对初值的正则假设下,可以得到解的最佳衰减估计.基于其相应线性方程的衰减估计和小初值条件,利用压缩映射原理,在Sobolev空间中证明了整体解的存在性和小振幅解的渐近行为. 相似文献
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邓义华 《数学物理学报(A辑)》2021,(1):142-148
该文讨论了一类能量泛函不属于C^1类的Kirchhoff型方程,这类方程与等离子体物理和激光传输理论有密切的联系.通过变量变换,该文首先将所讨论的方程变成了与之等价的能量泛函属于C^1类的方程.然后,通过构造合适的Banach空间,在适当的条件下运用变分方法证明了所讨论的方程存在径向对称正解. 相似文献
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Messaoud Boulbrachene 《Mathematical Methods in the Applied Sciences》2019,42(16):5305-5316
In this paper, we extend the approach developed by the author for the standard finite element method in the L∞‐norm of the noncoercive variational inequalities (VI) (Numer Funct Anal Optim.2015;36:1107‐1121.) to impulse control quasi‐variational inequality (QVI). We derive the optimal error estimate, combining the so‐called Bensoussan‐Lions Algorithm and the concept of subsolutions for VIs. 相似文献
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V. V. Pukhnachov 《Siberian Mathematical Journal》2005,46(5):913-924
We study positive periodic solutions to a nonautonomous nonlinear third-order ordinary differential equation of the theory of motion of a viscous incompressible fluid with free boundary. This equation describes the steady motions of a thin layer of a fluid film on the surface of a rotating horizontal cylinder in the gravity field. The linear operator on the left-hand side of the equation has a three-dimensional kernel. Moreover, the equation contains two nonnegative parameters proportional to the gravity acceleration and surface tension. Depending on these parameters the problem in question may have either two solutions or no solutions at all. We establish some qualitative properties of solutions to the problem: in particular, their asymptotic behavior at the extremal values of the parameters. 相似文献
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该文考虑-Δu =g(x) |u|q- 2 u λ|u|p- 2 u f(x) ,x∈Ω,u| Ω =0 ,g,f∈ L∞ (Ω ) ,1
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结构方程模型与联立方程模型的比较 总被引:3,自引:0,他引:3
本文首先介绍了结构方程模型和联立方程模型的一般形式、典型实例及其在我国的研究现状。通过将结构方程模型与联立方程模型进行比较,发现结构方程模型具有能直接处理潜变量和测量误差等优点,在管理学、心理学等社会科学中具有广泛应用;但是结构方程模型对样本量要求大、对抽样、问卷设计和调查过程的缺陷以及忽略变量等模型的设定错误不能弥补;而且,结构方程模型的参数不如联立方程模型的含义那么具体而直观。 相似文献
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In this paper, we consider the Liouville-type theorem for stable solutions of the following Kirchhoff equation ■,where M(t) = a + bt~θ, a 0, b, θ≥ 0, θ = 0 if and only if b = 0. N ≥ 2, q 0 and the nonnegative function g(x) ∈ L_(loc)~1(R~N). Under suitable conditions on g(x), θ and q, we investigate the nonexistence of positive stable solution for this problem. 相似文献
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The authors obtain some gradient estimates for positive solutions to the following nonlinear parabolic equation:αu/αt=△u-b(x,t)u~σ on complete noncompact manifolds with Ricci curvature bounded from below,where 0σ1 is a real constant,and b(x,t) is a function which is C~2 in the x-variable and C~1 in the t-variable. 相似文献