Well-posedness for a modified Zakharov system
PECHER, Hartmut
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 467-506 / Harvested from Project Euclid
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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.
Publié le : 2007-08-15
Classification:  Zakharov system,  well-posedness,  Fourier restriction norm method,  35Q55,  35L70 
@article{1277472864,
     author = {PECHER, Hartmut},
     title = {Well-posedness for a modified Zakharov system},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 467-506},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277472864}
}

PECHER, Hartmut. Well-posedness for a modified Zakharov system. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  467-506. http://gdmltest.u-ga.fr/item/1277472864/