An inverse problem of the wave equation for a general doubly connected region in R2 with a finite number of piecewise smooth Robin boundary conditions

The spectral distribution@m(t)=@?"@w"="1^~exp(-itE"@w^1^/^2),where {E"@w}"@w"="1^~ are the eigenvalues of the negative Laplacian-@D=-@?"k"="1^2@?@?x^k^2in the (x^1,x^2)-plane, is studied for a variety of domains, where -~0.

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