论文标题
最终观察的分数/正常演化方程的迪里奇特边界控制的时间半分化近似
Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation
论文作者
论文摘要
考虑了最终观察结果的最佳DIRICHLET边界控制。得出了解决方案的独特存在和最佳控制问题的一阶最佳条件。严格建立了时间上半分化近似的收敛性，在该控件未明确离散，并且状态方程在及时通过不连续的Galerkin方法离散化。提供数值结果以验证理论结果。
Optimal Dirichlet boundary control for a fractional/normal evolution with a final observation is considered. The unique existence of the solution and the first-order optimality condition of the optimal control problem are derived. The convergence of a temporally semidiscrete approximation is rigorously established, where the control is not explicitly discretized and the state equation is discretized by a discontinuous Galerkin method in time. Numerical results are provided to verify the theoretical results.
