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Mini-workshop: Boundary value problems and spectral geometry. Abstracts from the mini-workshop held January 1–7, 2012. (English) Zbl 1349.00057

Summary: Boundary value problems and spectral geometry is an attractive and rapidly developing area in modern mathematical analysis. The interaction 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., analysis 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 spectral problems, singular perturbations, new regularity techniques, Dirichletto-Neumann maps and Titchmarsh-Weyl functions.

MSC:

00B05 Collections of abstracts of lectures
00B25 Proceedings of conferences of miscellaneous specific interest
35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
47-06 Proceedings, conferences, collections, etc. pertaining to operator theory
58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
35P05 General topics in linear spectral theory for PDEs
47A10 Spectrum, resolvent
58J32 Boundary value problems on manifolds
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