Schrödinger equations in noncylindrical domains: exact controllability
2006 ◽
Vol 2006
◽
pp. 1-29
Keyword(s):
We consider an open bounded setΩ⊂ℝnand a family{K(t)}t≥0of orthogonal matrices ofℝn. SetΩt={x∈ℝn;x=K(t)y,for all y∈Ω}, whose boundary isΓt. We denote byQ^the noncylindrical domain given byQ^=∪0<t<T{Ωt×{t}}, with the regular lateral boundaryΣ^=∪0<t<T{Γt×{t}}. In this paper we investigate the boundary exact controllability for the linear Schrödinger equationu′−iΔu=finQ^(i2=−1),u=wonΣ^,u(x,0)=u0(x)inΩ0, wherewis the control.
2012 ◽
Vol 09
(04)
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pp. 613-639
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2015 ◽
Vol 58
(3)
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pp. 697-716
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1998 ◽
Vol 13
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pp. 4913-4929
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2009 ◽
Vol 17
(01)
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pp. 1-10
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1997 ◽
Vol 12
(13)
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pp. 2373-2384
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