5 papers
Persistence property in weighted Sobolev spaces for nonlinear dispersive equations
Xavier Carvajal, Wladimir Neves
We generalize the Abstract Interpolation Lemma proved by the authors in [2]. Using this extension, we show in a more general context, the persistence property for the generalized K…
The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited
Aldo Bazan, Wladimir Neves
In this paper some important inequalities are revisited. First, as motivation, we give another proof of the Hardy's inequality applying convenient vector fields as introduced by Mi…
Operators that achieve the norm
Xavier Carvajal, Wladimir Neves
In this paper we study the theory of operators on complex Hilbert spaces, which achieve the norm in the unit sphere. We prove important results concerning the characterization of t…
Well-posedness of the Cauchy Problem on Torus to Electromagnetoelastic System
Wladimir Neves, Viatcheslav Priimenko, Mikhail Vishnevskii
We prove the well-posedness of the Cauchy problem on torus to an eletromagnetoelastic system. The physical model consists of three coupled partial differential equations, one of th…
Persistence of solutions to higher order nonlinear Schrödinger equation
Xavier Carvajal, Wladimir Neves
Applying an Abstract Interpolation Lemma, we can show persistence of solutions of the initial value problem to higher order nonlinear Schrödinger equation, also called Airy-Schrödi…