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math.AP2019★ 3 cited
Regularity properties of Schrödinger integral operators and general oscillatory integrals
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach +1
We introduce the notion of Schrödinger integral operators and prove sharp local and global regularity results for these (including propagators for the quantum mechanical harmonic o…
math.AP2019
Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces
Daniel Oliveira da Silva, Alejandro J. Castro
We obtain an asymptotic rate of decay for the radius of spatial analyticity of solutions to the nonlinear wave equation with initial data in the analytic Gevrey spaces.