The wave equation approach for solving inverse eigenvalue problems of a multi-connected region in R3 with Robin conditions

摘要

The asymptotic expansion for |t| of the trace of the wave kernel μ̂(t)=∑∞υ=1exp(−itμ1/2υ), where {μυ}υ=1∞ are the eigenvalues of the negative Laplacian −∇2=−∑3β=1(∂/∂xβ)2 in the (x1,x2,x3)-space where i=−1 and −∞