Observability inequalities for thin shells

Science China Mathematics - Tập 46 - Trang 300-311 - 2003
Shugen Chai1,2, Pengfei Yao2
1Department of Mathematics, Shanxi University, Taiyuan, China
2Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China

Tóm tắt

We consider the exact controllability problem from boundary for thin shells. Under some checkable geometric assumptions on the middle surface, we establish the observability inequalities via the Bochner technique for the Dirichlet control and the Neumann control problems. We also give several examples to verify the geometric assumptions.

Tài liệu tham khảo

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