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Well-posedness for a modified Zakharov system

Hartmut Pecher
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Abstract

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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Hartmut Pecher. 2006-08-17. Well-posedness for a modified Zakharov system. https://arxiv.org/abs/math/0601727

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