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系统科学与数学 1989
A FUNCTION SPACE RELATIVE TO BOUNDARY OBSERVATION
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Abstract:
In this paper,we are concerned with a function space relative to boundaryobservation of Petrowsky equation on a bounded domain Q of R~m.By applying theHUM method proposed by J.L.Lions,it is shown that the function space is topo-logically equivalent to H^m_0(Q)×L~2(Q).For m=1,the corresponding result isknown.This result will be used to discuss the exact controllability of the interestedboundary control system in another paper.