Resumen de Global well-posedness for two dimensional semilinear wave equations

Germán E. Fonseca

• 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.