Local solutions to a class of Monge-Ampère equations of mixed type
Han, Qing
Duke Math. J., Tome 136 (2007) no. 1, p. 421-473 / Harvested from Project Euclid
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In this article, we study a class of Monge-Ampère equations of mixed type which is elliptic in one side of a hypersurface and hyperbolic in another side. The degeneracy along the hypersurface is allowed to be at arbitrary, even infinite, order. The linearized equation is also of mixed type and includes the high-dimensional Tricomi equation as a special case. We establish the existence of sufficiently smooth local solutions to the Monge-Ampère equations via Nash-Moser iteration
Publié le : 2007-02-15
Classification:  35M10 
@article{1170084895,
     author = {Han, Qing},
     title = {Local solutions to a class of Monge-Amp\`ere equations of mixed type},
     journal = {Duke Math. J.},
     volume = {136},
     number = {1},
     year = {2007},
     pages = { 421-473},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1170084895}
}

Han, Qing. Local solutions to a class of Monge-Ampère equations of mixed type. Duke Math. J., Tome 136 (2007) no. 1, pp.  421-473. http://gdmltest.u-ga.fr/item/1170084895/