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math.AP2026
Dispersion for the Schrödinger equation inside strictly convex domains: the general case
Oana Ivanovici, Fabrice Planchon
We consider a general smooth bounded strictly convex domain of dimension and describe dispersion for the semiclassical Schrödinger equation with Dir…
math.AP2026
Dispersion for the wave equation with Neumann boundary condition inside general strictly convex domains
Oana Ivanovici, Diego Sanchez Sanz
We consider the wave equation on a manifold of dimension d>1 with smooth strictly convex boundary, with Neumann boundary condition. We construct a sharp local in time parametrix fo…