16 citations · 30 across the 9 of their papers we have counts for
6 papers · 1 filter
Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs
Aksel Bergfeldt, Salvador Rodriguez-Lopez, David Rule +1
We establish sharp global regularity of a class of multilinear oscillatory integral operators that are associated to nonlinear dispersive equations with both Banach and quasi-Banac…
Bilinear pseudodifferential operators with symbol in on Triebel-Lizorkin spaces with critical Sobolev index
Sergi Arias, Salvador Rodriguez-Lopez
In this paper we obtain new estimates for bilinear pseudodifferential operators with symbol in the class , when both arguments belong to Triebel-Lizorkin spaces of the…
Global boundedness of multilinear Fourier integral operators
Salvador Rodriguez-Lopez, David Rule, Wolfgang Staubach
We establish global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on product of spaces by proving endpoint boundedness…
Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces
Anders Israelsson, Salvador Rodriguez-Lopez, Wolfgang Staubach
In this paper we establish optimal local and global Besov-Lipschitz and Triebel-Lizorkin estimates for the solutions to linear hyperbolic partial differential equations. These esti…
Global boundedness of multilinear Fourier integral operators
Salvador Rodriguez-Lopez, Wolfgang Staubach
We study the global boundedness of bilinear and multilinear Fourier integral operators on Banach and quasi-Banach spaces, where the amplitudes of the operators are smooth or…
On the boundedness of certain bilinear Fourier integral operators
Salvador Rodriguez-Lopez, David J. Rule, Wolfgang Staubach
We prove the global boundedness of bilinear Fourier integral operators with amplitudes in . To achieve this, we require that the phase fun…