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Weighted dispersion and Strichartz estimates for the Liouville equation in 1D

Article type: Research Article

Authors: Salort, Delphine

Affiliations: E-mail: salort@ann.jussieu.fr

Abstract: We consider in dimension 1 the Liouville equation associated to a nonnegative metric gāˆˆš’ž2b($\mathbb {R}$). We prove global in time dispersion and Strichartz estimates with a weight dependent on g. This weighted norm appears because of a phenomenon of concentration of trajectories when g is close to 0.

Journal: Asymptotic Analysis, vol. 47, no. 1-2, pp. 85-94, 2006

Published: 2006
Price: EUR 27.50
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