An inverse eigenvalue problem of the wave equation for a multi-connected region in R2 together with three different types of boundary conditions

摘要

The trace of the wave kernel μ(t)=∑∞ω=1exp(−itE1/2ω), where {Eω}ω=1∞ are the eigenvalues of the negative Laplacian −∇2=−∑2k=1(∂∂xk)2 in the (x1,x2)-plane, is studied for a variety of bounded domains, where −∞