共查询到20条相似文献,搜索用时 171 毫秒
1.
Jinbiao Wu 《偏微分方程(英文版)》1999,12(4):313-323
Interface problems for elliptic systems of second order partial differential equations are studied. The main result is that the solution in the neighborhood of the singular point can be divided into two parts one of which is a solution to the homogeneous system with constant coefficients, and the other one possesses higher regularity. 相似文献
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Truncated singular value decomposition is a popular solution method for linear discrete ill-posed problems. However, since
the singular value decomposition of the matrix is independent of the right-hand side, there are linear discrete ill-posed
problems for which this method fails to yield an accurate approximate solution. This paper describes a new approach to incorporating
knowledge about properties of the desired solution into the solution process through an initial projection of the linear discrete
ill-posed problem. The projected problem is solved by truncated singular value decomposition. Computed examples illustrate
that suitably chosen projections can enhance the accuracy of the computed solution. 相似文献
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H.-D. Alber 《Journal of Mathematical Analysis and Applications》2009,349(1):156-164
Convergence of the solution to the exterior Robin problem to the solution of the Dirichlet problem, as the impedance tends to infinity, is proved. The rate of convergence is established. A method for deriving higher order terms of the asymptotics of the solution is given. 相似文献
5.
This paper is the continuation of the paper: “Passage to the limit in a chain of the Muskat problems(I)”. In spherically symmetric case one prove that for some class of initial data, generated by a chain of the Muskat problems, the solutions of smooth approximate problems converge to a weak solution of the Muskat problem. This weak solution can be regarded as interpretation of so-called finger phenomenon. 相似文献
6.
In this paper, the authors consider the Harry-Dym equation on the line with decaying initial value. They construct the solution of the Harry-Dym equation via the solution of a 2 × 2 matrix Riemann-Hilbert problem in the complex plane. Further, onecusp soliton solution is expressed in terms of the Riemann-Hilbert problem. 相似文献
7.
The existence of a local classical solution to the Mullins-Sekerka problem and the convergence to the two-phase quasi-stationary
Stefan problem are proved when surface tension approaches zero. This convergence gives a proof of the existence of a local
classical solution of quasi-stationary Stefan problem. The methods work in all dimensions. 相似文献
8.
In this paper, we obtain a generalization of the method of regularizing multipliers for the solution of the Hilbert boundary-value problem with finite index in the theory of analytic functions to the case of an infinite power-behaved index. This method is used to obtain a general solution of the homogeneous Hilbert problem for the half-plane, a solution that depends on the existence and the number of entire functions possessing mirror symmetry with respect to the real axis and satisfying some additional constraints related to the singularity characteristic of the index. To solve of the inhomogeneous problem, we essentially use a specially constructed solution of the homogeneous problem whereby we reduce the boundary condition of the Hilbert problem to a Dirichlet problem. 相似文献
9.
讨论一个高维反向热传导问题,这是一个经典的严重不适定问题.关于这一问题我们给出一种新的正则化方法-改进的Tikhonov正则化方法,以恢复解对数据的连续依赖性.通过构造一个重要的不等式和提高先验光滑条件,获得正则解在0相似文献
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Given a feasible solution, the inverse optimization problem is to modify some parameters of the original problem as little as possible, and sometimes also with bound restrictions on these adjustments, to make the feasible solution become an optimal solution under the new parameter values. So far it is unknown that for a problem which is solvable in polynomial time, whether its inverse problem is also solvable in polynomial time. In this note we answer this question by considering the inverse center location problem and show that even though the original problem is polynomially solvable, its inverse problem is NP–hard. 相似文献
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The inverse problem concerned with fuzzy relations is investigated. The conditions for the existence of a solution are shown and an analytical solution is given. A method for the improvement of the solution is proposed. 相似文献
14.
Different solution strategies to the relaxed Saint-Venant problem are presented and comparatively discussed from a mechanical and computational point of view. Three approaches are considered; namely, the displacement approach, the mixed approach, and the modified potential stress approach. The different solution strategies lead to the formulation of two-dimensional Neumann and Dirichlet boundary-value problems. Several solution strategies are discussed in general, namely, the series approach, the reformulation of the boundary-value problems for the Laplace's equations as integral boundary equations, and the finite-element approach. In particular, the signatures of the finite-element weak solutions—the computational costs, the convergence, the accuracy—are discussed considering elastic cylinders whose cross sections are represented by piece-wise smooth domains. 相似文献
15.
In this paper, we introduce systems of vector quasi-equilibrium problems and prove the existence of their solutions. As applications
of our results, we derive the existence theorems for solution of system of vector quasi-saddle point problem, the existences
theorems of a solution of system of generalized quasi-minimax inequalities, the mathematical program with equilibrium constraint,
semi-infinite and bilevel problems. 相似文献
16.
在Hilbert空间中,用Fan-KKM定理导出了广义平衡问题的辅助问题的解的存在性和唯一性,讨论了寻找广义平衡问题和一族非扩张映象的公共不动点集的迭代序列,证明此序列强收敛于这两个集合的公共元.本文结论改进了一些近期结果. 相似文献
17.
张瑰 《数学的实践与认识》2007,37(8):119-123
Couette问题的解已被前人利用格林函数方法推导出来,但是这个结果不够严格,在此按照同样的方法进行计算与修正,对所求的解进行验证,并将结果推广到一般的线性问题. 相似文献
18.
文章研究加工时间仅依赖于机器的两台机自由作业排序问题 O2 | pij = pi, p2 < p1 < 2p2, Non-Idle | ΣCj。项思明和唐国春(1998)证明了可将该问题转化成指派问题。俞文ci 和应刚(1998)给出了这一问题的显式解,并用较长的篇幅证明其显式解的正确性;他们还举例说明所给出的显式最优排序并不排除其他形式的最优解的存在;但他们未说明所给出的显式解何时才是唯一最优解。本文将给出问题 O2 | pij = pi, p2 < p1 < 2p2, Non-Idle | ΣCj的显式解的直观的最优性证明,并讨论问题显式解何时是唯一的最优解。 相似文献
19.
In this paper we consider the Cauchy problem and the initial boundary value (IBV) problem for the inhomogeneous GBBM equations. For any bounded or unbounded smooth domain, the existence and uniqueness of global strong solution for the Cauchy problem and IBV problem for the inhomogeneous GBBM equations in W^{2,p}(Ω) are established by using Banach fixed point theorem and some a priori estimates. These results have improved the known results even in the case of GBBM equation. Meanwhile, we also discuss the regularity of the Strong solution and the system of inhomogeneous GBBM equations. 相似文献
20.
Qamrul Hasan Ansari Siegfried Schaible Jen-Chih Yao 《Journal of Global Optimization》2002,22(1-4):3-16
In this paper, we introduce the system of generalized vector equilibrium problems which includes as special cases the system of generalized implicit vector variational inequality problems, the system of generalized vector variational and variational-like inequality problems and the system of vector equilibrium problems. By using a maximal element theorem, we establish existence results for a solution of these systems. As an application, we derive existence results for a solution of a more general Nash equilibrium problem for vector-valued functions. 相似文献