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math.AP2026
(Non-)Linear waves on asymptotically flat spacetimes. II: trapping, bound states, nonlinear applications
Peter Hintz
We study wave-type equations on dynamical spacetimes that settle down to a subextremal Kerr black hole spacetime. We prove strong estimates for solutions of (tensorial) linear wave…
math.AP2025
The asymptotic behavior of simple eigenvalues of particle-in-well systems
Peter Hintz, Aaron Moser
The particle in a well in dimension one is a classical problem in quantum mechanics. We study higher-dimensional analogues of the problem, where the well is a smooth domain in $\ma…
math.AP2024
Inverse Nonlinear Scattering by a Metric
Peter Hintz, Antônio Sá Barreto, Gunther Uhlmann +1
We study the inverse problem of determining a time-dependent globally hyperbolic Lorentzian metric from the scattering operator for semilinear wave equations.