Publicaciones 
publicaciones@scm.org.co

|Busque Autor |


    Revista Colombiana de Matemáticas
    Volumen 34 [ 2] ( 2000) Páginas 91-101


    Global well-posedness for two dimensional semilinear wave equations

    Germán E Fonseca
    Universidad Nacional de Colombia, Bogotá


    Abstract. We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions. It is shown that global well-posedness holds in spaces of lower regularity than that suggested by the energy space y . The technique to be used is adapted from a general scheme originally intro-duced by J. Bourgain to establish global well posedness of the cubic nonlinear Schrödinger equation

    Palabras claves. Nonlinear wave equations, global solutions, initial value problems

    Codigo AMS. 1991 Primary 35L15. Secondary 35A05.

    Archivo completo : Formato [PDF] (436 K).