带状态约束的抛物型变分不等式的最优控制

基金项目: 国家自然科学基金资助项目(19802012);上海市重点学科建设基金资助项目

Optimal Control of Parabolic Variational Inequalities With Stat Constraint

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

摘要: 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.
- 状态约束 /
- 变分不等式 /
- 不连续非单调多值映射 /
- 优化控制与逼近
Abstract: The optimal control problem of parabolic variational inequalities with the state constraint and nonlinear,discontinuous nonmonotone multivalued mapping term and its approximating problem are studied,which generalizes some obtained results.
- state constraint /
- variational inequality /
- discontinuous and nononotone nonlinear multivalued mapping /
- optimal control

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