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math.AP2010
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…
math.AP2010
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…
math.AP2010
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…