2 citations · 3 across the 4 of their papers we have counts for
14 papers
Persistence of solutions to the Derivative Nonlinear Schrödinger equation in weighted Sobolev spaces
Alejandro J. Castro, Khumoyun Jabbarkhanov, Azamat Kassimbekov
In this paper we show the persistence property for solutions of the derivative nonlinear Schrödinger equation with initial data in weighted Sobolev spaces $H^{2}(\mathbb{R})\cap L^…
A note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces
Alejandro J. Castro, Amin Esfahani, Lyailya Zhapsarbayeva
In this paper we establish the persistence property for solutions of the quartic generalized Korteweg-de Vries equation with initial data in weighted Sobolev spaces $H^{s}(\mathbb{…
The Nonlinear Schrödinger-Airy equation in weighted Sobolev spaces
Alejandro J. Castro, Khumoyun Jabbarkhanov, Lyailya Zhapsarbayeva
We study the persistence property of the solution for the nonlinear Schrödinger-Airy equation with initial data in the weighted Sobolev space $H^{1/4}(\mathbb{R})\cap L^2(|x|^{2m}d…
Variation operators for semigroups associated with Fourier-Bessel expansions
Jorge J. Betancor, Alejandro J. Castro, Marta De León-Contreras
In this paper we establish -boundedness properties for variation operators defined by semigroups associated with Fourier-Bessel expansions.
The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure
Jorge J. Betancor, Alejandro J. Castro, Marta De León-Contreras
In this paper we characterize the Banach lattices with the Hardy-Littlewood property by using maximal operators defined by semigroups of operators associated with the inverse Gauss…
Regularity of Fourier integral operators with amplitudes in general Hörmander classes
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach
We prove the global -boundedness of Fourier integral operators that model the parametrices for hyperbolic partial differential equations, with amplitudes in classical Hörmande…