Abstract
Boundary value problems and spectral geometry is an attractive and rapidly developing area in modern mathematical analysis. The inter- action of PDE methods with concepts from operator theory and differential geometry is particularly challenging and leads directly to new insights and applications in various branches of pure and applied mathematics, e.g., anal- ysis on manifolds, global analysis and mathematical physics. Some recent contributions in the field of boundary value problems and spectral geometry concern, e.g., construction of isospectral manifolds with boundary, eigenvalue and resonance distribution for large energies, multidimensional inverse spec- tral problems, singular perturbations, new regularity techniques, Dirichlet- to-Neumann maps and Titchmarsh-Weyl functions.
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