An inverse eigenvalue problem for an arbitrary multiply connected bounded region inR2

[摘要] The basic problem is to determine the geometry of an arbitrary multiply connected boundedregion inR2together with the mixed boundary conditions, from the complete knowledge of the eigenvalues{λi}j=1∞for the Laplace operator, using the asymptotic expansion of the spectral functionθ(t)=∑j=1∞exp(−tλi)ast→0.

[学科分类] 数学（综合）