Smoothing properties for the higher order nonlinear Schr\"{o}dinger equation with constant coefficients

Mauricio Sepulveda (1) , Octavio Vera (2)

1 CI²MA - Centro de Investigación en Ingeniería Matemática [Concepción]
2 Departamento de Matematicas

We study local and global existence and smoothing properties for the initial value problem associated to a higher order nonlinear Schrödinger equation with constant coefficients which appears as a model for propagation of pulse in optical fiber.

Mots clés: Evolution equations; weighted Sobolev space; gain in regularity

Domaines: Equations aux dérivées partielles [math.AP]

Mauricio Sepulveda, Octavio Vera. Smoothing properties for the higher order nonlinear Schr\"{o}dinger equation with constant coefficients. 2007. ⟨hal-00141691⟩