We consider the wave equation with Dirichlet boundary conditions in the exterior of a cylinder in R^3 and we construct a global in time parametrix to derive sharp dispersion estimates for all frequencies (low and high) and, as a corollary, Strichartz estimates, all matching the R3 case.
Dispersion for the wave equation outside a cylinder in R^3
Iandoli, Felice
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2024-01-01
Abstract
We consider the wave equation with Dirichlet boundary conditions in the exterior of a cylinder in R^3 and we construct a global in time parametrix to derive sharp dispersion estimates for all frequencies (low and high) and, as a corollary, Strichartz estimates, all matching the R3 case.File in questo prodotto:
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