Well-posedness for a modified Zakharov system

Details Well-posedness for a modified Zakharov system Well-posedness for a modified Zakharov system

2006-01-30

arxiv.org/abs/math/0601727v2

Mathematics

Analysis of PDEs

30 pages. Final version to appear in Hokkaido Mathematical Journal

Scientific paper

The Cauchy problem for a modified Zakharov system is proven to be locally
well-posed for rough data in two and three space dimensions. In the three
dimensional case the problem is globally well-posed for data with small energy.
Under this assumption there also exists a global classical solution for
sufficiently smooth data.

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