Optimal Control of Semilinear Elliptic Variational Bilateral Problem
Optimal Control of Semilinear Elliptic Variational Bilateral Problem
摘要
This paper is concerned with an optimal control problem for semilinear elliptic variational inequalities associated with bilateral constraints.Existence and optimality conditions of the optimal pair are established.
This paper is concerned with an optimal control problem for semilinear elliptic variational inequalities associated with bilateral constraints.Existence and optimality conditions of the optimal pair are established.
参考文献11
-
1D. R. Adams,S. M. Lenhart,J. Yong.Optimal Control of the Obstacle for an Elliptic Variational Inequality[J].Applied Mathematics & Optimization.1998(2)
-
2Craig RG,Peyton FA.Elastic and mechanical properties of human dentin[].Journal of Dental Research.1958
-
3Wentrup-Byrne E,Armstrong CA,Armstrong RS,Collins M.Fourier transform raman microscopic mapping of the molecular components in a human tooth[].Journal of Raman Spectroscopy.1997
-
4Peyton FA,Mahier DB,Hershenov.Physical properties of dentine[].Journal of Dental Research.1952
-
5Feng D,Zhu XT,Pan SC.Measurement of elasticity modulus of human dentin and sustaining bone tissue with laser speckle photography[].Chinese Journal of Stomatology.1987
-
6Xu J,Zhu XT,Zhou SM,et al.Measuring study of longitudinal tensile mechanical properties of dentin of premolar[].Chinese Journal of Stomatology.1989
-
7Ailor WH.Atmospheric Corrosion[]..1982
-
8L Cesari.Optimization Theory and Applications,Problems with Ordinary Differential Equations[]..1983
-
9Kinderlehrer D,Stampacchia G.An Introduction to Variational Inequalities and Their Applications[]..1980
-
10Friedman,A.Optimal control for parabolic variational inequality[].The SIAM Journal on Control and Optimization.1987
-
1袁俭.On the Uniqueness of the Positive Solution for a Semilinear Elliptic Problem with Critical Exponent[J].Chinese Quarterly Journal of Mathematics,1997,12(1):76-80.
-
2D.D.SOMASHEKARA,K.N.VIDYA,S.L.SHALINI.On Finite Forms of Certain Bilateral Basic Hypergeometric Series and Their Applications[J].Journal of Mathematical Research with Applications,2016,36(6):665-672.
-
3Mu Fa CHEN.Bilateral Hardy-type Inequalities[J].Acta Mathematica Sinica,English Series,2013,29(1):1-32.
-
4綦建刚,刘衍胜.Asymptotic Behavior of Nodal Solutions for Semilinear Elliptic Equationsin R^n[J].Chinese Quarterly Journal of Mathematics,1998,13(1):22-28.
-
5张少华.GENERALIZED DERIVATIONS WITH CLOSED RANGES (Ⅰ)[J].Chinese Science Bulletin,1988,33(7):542-543.
-
6刘冠琦,王玉文,史峻平.Existence and nonexistence of positive solutions of semilinear elliptic equation with inhomogeneous strong Allee effect[J].Applied Mathematics and Mechanics(English Edition),2009,30(11):1461-1468.
-
7ZHANG Weitao LIU Ning LOU Shuntian.Joint Approximate Diagonalization Using Bilateral Rank-Reducing Householder Transform with Application in Blind Source Separation[J].Chinese Journal of Electronics,2009,18(3):471-476. 被引量:7
-
8WANG Liancheng,DONG Jiali,LIU Qinghuai (Depertment of Mathematics, Jilin University of Technology, Changchun 130025, China).OPTIMALITY CONDITIONS IN NONSMOOTH MULTIOBJECTIVE PROGRAMMING[J].Systems Science and Mathematical Sciences,1994,7(3):250-255.
-
9DUALITY THEOREMSLI Yuan-xi(Departtnent of Statistics and OR, Fudan University, Shanghai 200433, China).NONCONICAL NONSMOOTH MULTIOBJECTIVE PROGRAMMING-OPTIMALITY CONDITIONS AND[J].Systems Science and Mathematical Sciences,1998,11(1):61-68.
-
10L. LEVI G. VALLET.ENTROPY SOLUTIONS FOR FIRST-ORDER QUASILINEAR EQUATIONS RELATED TO A BILATERAL OBSTACLE CONDITION IN A BOUNDED DOMAIN[J].Chinese Annals of Mathematics,Series B,2001,22(1):93-114. 被引量:1