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Low-frequency dispersive estimates for the wave equation in higher dimensions

Article type: Research Article

Authors: Moulin, Simon

Affiliations: Université de Nantes, Département de Mathématiques, UMR 6629 du CNRS, 2, rue de la Houssinière, BP 92208, 44332 Nantes Cedex 03, France. E-mail: [email protected]

Abstract: We prove dispersive estimates at low frequency in dimensions n≥4 for the wave equation for a very large class of real-valued potentials, provided zero is neither an eigenvalue nor a resonance. This class includes potentials V∈L∞(Rn) satisfying V(x)=O(〈x〉−(n+1)/2−ε), ε>0.

Keywords: dispersive estimates, wave equation

DOI: 10.3233/ASY-2008-0896

Journal: Asymptotic Analysis, vol. 60, no. 1-2, pp. 15-27, 2008

Published: 2008
Price: EUR 27.50
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