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Periodic Korteweg de Vries equation with measures as initial data

✍ Scribed by J. Bourgain


Publisher
SP Birkhäuser Verlag Basel
Year
1997
Tongue
English
Weight
582 KB
Volume
3
Category
Article
ISSN
1022-1824

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We study the Cauchy problem of a dissipative version of the KdV equation with rough initial data. By working in a Bourgain type space we prove the local and global well posedness results for Sobolev spaces of negative order, and the order number is lower than the well known value -3 4 . In some sens