Spectral Theory and Partial Differential Equations

Gregory Eskin, University of California, Los Angeles, CA, USA.Leonid Friedlander, University of Arizona, Tucson, AZ, USA.John Garnett, University of California, Los Angeles, CA, USA.

• Algebras in reconstruction of manifolds by M. I. BelishevSpectral theory of a mathematical model in quantum field theory for any spin by J.-C. GuillotA review on large $k$ minimal spectral $k$-partitions and Pleijel's theorem by B. Helffer and T. Hoffmann-OstenhofIncreasing stability for near field from the scattering amplitude by V. IsakovInverse scattering on multi-dimensional asymptotically hyperbolic orbifolds by H. Isozaki, Y. Kurylev, and M. LassasError estimates of the Bloch band-based Gaussian beam superposition for the Schrodinger equation by H. Liu and M. PryporovOn random weighted Sobolev inequalities on $\mathbb{R}^4$ and applications by D. Robert and L. ThomannCalderon problem for Maxwell's equations in the waveguide by O. Y. Imanuvilov and M. YamamotoGaussian beams on Zoll manifolds and maximally degenerate Laplacians by S. Zelditch