In this paper, a double obstacle problem of variational inequalities is considered and its solutions is obtained. The results of one-sided obstacle problem are not required in the analysis of our main results, which i...In this paper, a double obstacle problem of variational inequalities is considered and its solutions is obtained. The results of one-sided obstacle problem are not required in the analysis of our main results, which is different from the previous works.展开更多
The Hǒlder continuity is proved for the gradient of the solution Jo the one-sided obstacle problem of the following variational inequality in the case 1<p<2
This paper is devoted to the state-constrained optimal control of systems governed by an evolutionary variational inequality coupled with a semilinear parabolic equation via the constraint of obstacle . Existence and ...This paper is devoted to the state-constrained optimal control of systems governed by an evolutionary variational inequality coupled with a semilinear parabolic equation via the constraint of obstacle . Existence and optimality conditions (in the form of Pontryagin principle) for optimal controls are established.展开更多
基金Project supported by the National Natural Science Foundation of China (No.10772046)
文摘In this paper, a double obstacle problem of variational inequalities is considered and its solutions is obtained. The results of one-sided obstacle problem are not required in the analysis of our main results, which is different from the previous works.
基金in part by Zhongshan University Science Research Fund
文摘The Hǒlder continuity is proved for the gradient of the solution Jo the one-sided obstacle problem of the following variational inequality in the case 1<p<2
文摘This paper is devoted to the state-constrained optimal control of systems governed by an evolutionary variational inequality coupled with a semilinear parabolic equation via the constraint of obstacle . Existence and optimality conditions (in the form of Pontryagin principle) for optimal controls are established.
