首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到19条相似文献,搜索用时 59 毫秒
1.
拟线性椭圆型H-半变分不等式   总被引:3,自引:1,他引:2  
本文研究一类拟线性椭圆型H_半变分不等式,即研究具有非凸、非光滑泛函的椭圆型不等式·这类问题的研究来自力学·利用Clarke广义梯度和伪单调算子理论,我们证明了拟线性椭圆型H_半变分不等式解的存在性·  相似文献   

2.
江涛 《工科数学》1997,13(2):13-15
考虑拟线性抛物型变分不等式:  相似文献   

3.
带状态约束的抛物型变分不等式的最优控制   总被引:1,自引:1,他引:0  
利用非光滑分析和半变分不等式的一些方法和结果,研究了一类带状态约束的具有非线性、不连续以及非单调多值项的抛物型变分不等式的优化控制问题以及它的逼近等,推广了一些已有的结果.  相似文献   

4.
刘振海  Simon L 《数学进展》2001,30(1):47-55
本文研究非线性发展型H-半变分不等式,即具有非凸泛函的抛物型变分不等式,这类问题的研究起源于力学。利用Clarke广义梯度和(S+)型多值映象的不动点理论,我们证明了这类问题解的存在性。并利用这一理论,研究了具间断项的非线性抛物型方程解的存在性。  相似文献   

5.
本文讨论的对象是非线性抛物型H-半变分不等式,使用文献[4]中抛物型G收敛的定义来研究抛物型H-半变分不等式解的收敛性行为。  相似文献   

6.
李胜宏 《应用数学》1998,11(2):58-65
本文研究具有双障碍的退缩抛物变分不等式,我们利用罚技巧,有限逼近和先验估计方法,得到一类退缩抛物变分不等式弱解的存在性,并在一定条件下,建立了弱解的唯一性。本文结论对广泛的一类抛物物型变分不等式成立。  相似文献   

7.
本文研究具有双障碍的退缩抛物变分不等式.我们利用罚技巧,有限逼近和先验估计方法,得到一类退缩抛物变分不等式弱解的存在性,并在一定条件之下,建立了弱解的唯一性.本文结论对广泛的一类抛物型变分不等式成立.  相似文献   

8.
非紧H-空间中的极大元存在定理及其应用   总被引:4,自引:0,他引:4  
沈自飞 《数学学报》1999,42(3):411-416
本文在一类非紧H-空间中建立了新的极大元存在定理。作为应用,我们研究了变分不等式和KyFan型极大极小不等式解的存在性。  相似文献   

9.
考虑具有多项式增长的拟线性正则抛物变分不等式;利用近似方法和罚技巧,得到了拟正则变分不等式解的存在性和唯一性。  相似文献   

10.
抛物型变分不等式的一类全离散非协调有限元方法   总被引:6,自引:1,他引:5  
讨论了抛物型变分不等式的一类全离散非协调有限元方法,得到了相应的最优误差估计,改进了以往文献的结果.  相似文献   

11.
本文讨论带梯度障碍的抛物型变分不等式解的存在性、唯一性和正则性问题.通过证明一类带梯度障碍的问题的求解等价于解某个双边障碍的问题,并利用双边障碍问题解的存在性、唯一性和正则性,得到了带梯度障碍的问题的相应结果.这一方法将有助于对具有梯度约束的非线性以及完全非线性抛物型方程解的正则性的研究.  相似文献   

12.
The existence of an open loop equilibrium strategy for time-dependent parabolic quasi-variational inequalities is established. Applications to the Nash open loop equilibrium strategy for an economy with N-consumers and K-producers as well as applications to parabolic quasi-variational inequalities are given  相似文献   

13.
Theory of parabolic differential inequalities, flow-invariance of solutions and comparison theorems are discussed relative to a cone.

In this paper we investigate the theory of parabolic differential inequalities in arbitrary cones. After discussing the fundamental results concerning parabolic inequalities in cones, we prove a result on flow-invariance which is then used to obtain a comparison theorem. This comparison result is useful in deriving upper and lower bounds on solutions of parabolic differential equations in terms of the solutions of ordinary differential equations. We treat the Dirichlet problem in this paper since its theory follows the general pattern of ordinary differential equations and requires less restrictive assumptions. The treatment of Neumann problem, on the other hand, demands stronger smoothness assumptions and depends heavily on strong maximum principle. The study of the corresponding results relative to Neumann problem is discussed elsewhere.  相似文献   

14.
This paper studies parabolic quasiminimizers which are solutions to parabolic variational inequalities. We show that, under a suitable regularity condition on the boundary, parabolic Q-quasiminimizers related to the parabolic p-Laplace equations with given boundary values are stable with respect to parameters Q and p. The argument is based on variational techniques, higher integrability results and regularity estimates in time. This shows that stability does not only hold for parabolic partial differential equations but it also holds for variational inequalities.  相似文献   

15.
This paper is devoted to the periodic problem for quasilinear parabolic hemivariational inequalities at resonance as well as at nonresonance. By use of the theory of multi-valued pseudomonotone operators, the notion of generalized gradient of Clarke and the property of the first eigenfunction, we build a Landesman-Lazer theory in the nonsmooth framework of quasilinear parabolic hemivariational inequalities.  相似文献   

16.
In this paper we present a model of dynamic frictional contact between a thermoviscoelastic body and a foundation. The thermoviscoelastic constitutive law includes a temperature effect described by the parabolic equation with the subdifferential boundary condition and a damage effect described by the parabolic inclusion with the homogeneous Neumann boundary condition. Contact is modeled with bilateral condition and is associated to a subdifferential frictional law. The variational formulation of the problem leads to a system of hyperbolic hemivariational inequality for the displacement, parabolic hemivariational inequality for the temperature and parabolic variational inequality for the damage. The existence of a unique weak solution is proved by using recent results from the theory of hemivariational inequalities, variational inequalities, and a fixed point argument.  相似文献   

17.
We consider a quasistatic contact problem for an electro-viscoelastic body. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. The damage of the material caused by elastic deformation is taken into account, its evolution is described by an inclusion of parabolic type. We present a weak formulation for the model and establish existence and uniqueness results. The proofs are based on classical results for elliptic variational inequalities, parabolic inequalities and fixed point arguments.  相似文献   

18.
The boundary element approximation of the parabolic variational inequalities of the second kind is discussed. First, the parabolic variational inequalities of the second kind can be reduced to an elliptic variational inequality by using semidiscretization and implicit method in time; then the existence and uniqueness for the solution of nonlinear non-differentiable mixed variational inequality is discussed. Its corresponding mixed boundary variational inequality and the existence and uniqueness of its solution are yielded. This provides the theoretical basis for using boundary element method to solve the mixed vuriational inequality.  相似文献   

19.
This paper is about a systematic attempt to apply the sub-supersolution method to parabolic variational inequalities. We define appropriate concepts of sub-supersolutions and derive existence, comparison, and extremity results for such inequalities.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号