Well-posedness for a modified Zakharov system

Hartmut PECHER

doi:10.14492/hokmj/1277472864

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Home > Journals > Hokkaido Math. J. > Volume 36 > Issue 3 > Article

August 2007 Well-posedness for a modified Zakharov system

Hartmut PECHER

Hokkaido Math. J. 36(3): 467-506 (August 2007). DOI: 10.14492/hokmj/1277472864

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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. "Well-posedness for a modified Zakharov system." Hokkaido Math. J. 36 (3) 467 - 506, August 2007. https://doi.org/10.14492/hokmj/1277472864