Strichartz Estimates for Some 2D Water Wave Models

Authors

José R. Quintero, Departamento Matem´aticas, Universidad del Valle, A. A. 25360 Cali, ColombiaFollow
Alex M. Montes

Author Country (or Countries)

Colombia

Abstract

In this paper we establish Strichartz type estimates associated with a class of semigroup operators in Rn, which for n = 2 correspond to some 2D water wave models.We also establish a nonlinear scattering result for solutions of the generalized Benney-Luke equation for higher order nonlinearity and small data initial in the energy space.

Suggested Reviewers

N/A

Recommended Citation

R. Quintero, José and M. Montes, Alex (2013) "Strichartz Estimates for Some 2D Water Wave Models," Applied Mathematics & Information Sciences: Vol. 07: Iss. 6, Article 6.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss6/6