On global solutions to a defocusing semi-linear wave equation

Autores: Isabelle Gallagher , Fabrice Planchon
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 19, Nº 1, 2003, págs. 161-177
Idioma: inglés
DOI: 10.4171/rmi/341
Títulos paralelos:
- Sobre las soluciones globales a una ecuación de onda semilineal desenfocante.
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Resumen
- We prove that the 3D cubic defocusing semi-linear wave equation is globally well-posed for data in the Sobolev space Hs where s > 3/4. This result was obtained in [11] following Bourgain's method ([3]). We present here a different and somewhat simpler argument, inspired by previous work on the Navier-Stokes equations ([4, 7]).