Higher dimensional inverse problem of the wave equation for a general multi-connected bounded domain with a finite number of smooth mixed boundary conditions

The spectral function @m(t)=@?"J"="1^~exp(-it@m"J^1^/^2) where {@m"J}"J"="1^~ are the eigenvalues of the negative Laplacian -@D"3=-@?"@u"="1^3(@?/@?x^@u)^2 in the (x^1,x^2,x^3)-space, is studied for small |t| for a variety of bounded domains, where -~

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