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math.FA2010
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…
math.AP2010
On uniqueness and decay of solution for Hirota equation
Xavier Carvajal, Mahendra Panthee
We address the question of the uniqueness of solution to the initial value problem associated to the equation \partial_{t}u+iα\partial^{2}_{x}u+β \partial^{3}_{x}u+iγ|u|^{2}u+δ|u|^…
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…