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Bulletin of the London Mathematical Society 2008 40(1):117-128; doi:10.1112/blms/bdm096
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© 2008 London Mathematical Society

Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations

A. Moyua and L. Vega

Departamento de Matemáticas,
Universidad del País Vasco-Euskal
Herriko Unibertsitatea
Apartado 644
48080 Bilbao
Spain
luis.vega@ehu.es

Received 26 October 2006. Revision received 10 July 2007.

We give bounds on supt |u(x, t)| for solutions u of dispersive equations on the one-dimensional torus. They are obtained from some improvements on bilinear types of estimate.

2000 Mathematics Subject Classification 35Q55, 42B25.

Moyua is supported by the grant MTM2005-08430 of MEC(Spain) and FEDER. Vega is supported by the grant MTM2004-03029 ofMEC (Spain) and FEDER.


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