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math.AP2026
The Dirichlet-to-Neumann map on asymptotically anti-de Sitter spaces and holography
Alberto Enciso, Gunther Uhlmann, MichaÅ Wrochna
We consider the Klein-Gordon equation on asymptotically anti-de Sitter spacetimes, and show that the forward Dirichlet-to-Neumann map (or scattering matrix) is a fractional power o…
math.AP2025
Long-time evolution of forced waves in the low viscosity regime
Nicolas Frantz, MichaÅ Wrochna
We consider a model for internal waves described by a zero order pseudo-differential Hamiltonian damped by a second order viscosity term . Under Morse-Smale or similar w…
math.AP2024
Dirac operators and local invariants on perturbations of Minkowski space
Nguyen Viet Dang, András Vasy, MichaŠWrochna
For small perturbations of Minkowski space, we show that the square of the Lorentzian Dirac operator has real spectrum apart from possible poles in a horizontal strip. Fu…