Global well-posedness for two dimensional semilinear wave equations

• Autores: Germán E. Fonseca
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 34, Nº. 2, 2000, págs. 91-101
• Idioma: inglés
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• Resumen

  • 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.