Propagation of singularities on asymptotically AdS spacetimes with general boundary conditions

Abstract: We consider a Klein-Gordon equation on asymptotically anti-de Sitter spacetimes subject to a very general class of boundary conditions implemented on the conformal boundary by pseudodifferential operators. Using microlocal estimates, we prove a propagation of singularities theorem along generalized broken bicharacteristics and we study the well-posedness of the problem, proving existence and uniqueness theorems for a subset of the boundary conditions considered that includes interesting cases: In particular among this class of boundary conditions, in addition to Neumann, Dirichlet and Robin, there are dynamical boundary conditions (e.g. of Wentzell kind).

high energy physicsmathematical physicsanalysis of PDEsspectral theory

Audience: researchers in the topic

Scattering, microlocal analysis and renormalisation

Series comments: Mondays: aarhusuniversity.zoom.us/j/9036772485 Meeting ID: 903 677 2485

Thursdays: us02web.zoom.us/j/6094800950 Meeting ID: 609 480 0950

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Links to the slides can be found here: drive.google.com/file/d/1uu6ZvU6zlGalJpZR7ZDi7igsvBMBylOA/view