The wave equation approach to an inverse problem for a general multi-connected domain in R2 with mixed boundary conditions

摘要

The spectral function μ̂(t)=∑J=1∞exp(−itμJ1/2) where μJJ=1∞ are the eigenvalues of the negative Laplacian −Δ2=−∑υ=12∂/∂xυ2 in R2 is studied for small |t| for a variety of domains, where −∞