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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 07 > No. 6

 
   

Strichartz Estimates for Some 2D Water Wave Models

PP: 2159-2173
Author(s)
José R. Quintero, Alex M. Montes,
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.

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