共查询到20条相似文献,搜索用时 21 毫秒
1.
The solvability of the nonlocal boundary value problem
in a class of functions is investigated for a quasilinear parabolic equation. The solution uniqueness follows from the maximum principle. 相似文献
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该文使用Lions的集中紧性原理和变分方法,证明了一类非齐次拟线性椭圆型方程对应的障碍问题中极小正解的存在性. 相似文献
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We consider a model problem of compressible viscous fluid dynamics in the two-dimensional case. We prove a global existence theorem. 相似文献
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该文利用复分析的方法对双曲区域实施共形映照,通过将双曲区域的边界曲线变换为直线段,研究了另一类更一般区域上的拟线性二阶混合型方程的不连续边值问题,得到了一些较新的可解性结果的推广. 相似文献
5.
Albert MILANI 《数学年刊B辑(英文版)》2009,30(1):91-110
The author proves a global existence result for strong solutions to the quasilinear dissipative hyperbolic equation (1.1) below, corresponding to initial values and source terms of arbitrary size, provided that the hyperbolicity parameter ε is sufficiently small. This implies a corresponding global existence result for the reduced quasilinear parabolic equation (1.4) below. 相似文献
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该文给出了线性退化的严格双曲组具慢衰减及小全变差初值的Cauchy问题的经典解的整体存在唯一性.
这个结果进一步推广了A Bressan的相关结果 相似文献
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该文讨论了下列拟线性椭圆方程的Dirichlet问题在一类Orlicz-Sobolev 空间中非平凡解的存在性
{ -div(a(| u(x)|) u(x))=g(x, u), x∈Ω,
u(x)=0,x∈∂Ω.
其中Ω 是 Rn 中光滑的有界区域.Φ 和 g 满足一定条件时, 利用推广的山路引理证明了上述Dirichlet 问题存在广义的非平凡解的存在性. 相似文献
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本文讨论了问题- div(|Du|p- 2Du) = λf(u), 在Ω中,uΩ= 0正对称解的先验界估计 相似文献
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In this paper, we prove the existence in H_ ~2, an incomplete metric subspace of H~2×H~2×H~2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domainΩ=(0,1). The results in this paper have improved those previously related results. 相似文献
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Formation of Singularities of Solutions for Cauchy Problem of Quasilinear Hyperbolic Systems with Dissipative Terms 下载免费PDF全文
ln this paper, for a class of 2 × 2 quasilinear hyperbolic systems, we get existence theorems of the global smooth solutions of its Cauchy problem, under a certain hypotheses. In addition, Tor two concrete quasilinear hyperbolic systems, we study the formation of the singularities of the C¹-solution to its Cauchy problem. 相似文献
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Global Existence in H^2 for a 1-d Non-monotone Fluid 总被引:3,自引:1,他引:2
In this paper, we prove the existence in H+^2, an incomplete metric subspace of H^2×H^2×H^2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domainΩ=(0,1). The results in this paper have improved those previously related results. 相似文献
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We prove existence, in a small time interval, of a classical solution having a regular free boundary, (i.e. the level set {u=0}) of a multidimensional filtration problem. The key point to get the regularity of the level set {u=0} is the proof of an a priori estimate for the L∞-norm of ut. © 1997 by B.G. Teubner Stuttgart-John Wiley & Sons, Ltd. 相似文献
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本文考虑具耗散项一阶拟线性双曲型方程组的具有自由边界的典型自由边值问题.在一些合理假设下,证明了其经典解的整体存在性定理. 相似文献
17.
We consider the boundary value problem for the quasilinear equation div(A(|Du|)Du) + f(u) = 0, u > 0, x ∈ B_R(0), u|_{∂B_R(0)} = 0, where A and f are continuous functions in (0, ∞) and f is positive in (0, 1), f(1) = 0. We prove that (1) if f is strictly decreasing, the problem has a unique classical radial solution for any real number R > 0; (2) if f is not monotonous, the problem has at least one classical radial solution for some R > 0 large enough. 相似文献
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This paper deals with a class of strongly coupled and highly degenerate nonlinear parabolic systems, which arises from a model describing non-Fickian diffusion of penetrant into glassy polymers. By means of a fixed point argument and a priori estimates, we establish the global existence and uniqueness for the systems. 相似文献
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Chen Qihong 《偏微分方程(英文版)》1991,4(1)
The mathematical modelling of the electrodeposition phenomenon leads to a linear elliptic partial differential equation subject to nonlinear evolutionary mixed boundary conditions. ln this paper, the existence, uniqueness and regularity of classical solution are proved for the electropainting problem when “dissolution current” is zero. 相似文献