Levi conditions to the Gevrey well-posedness for hyperbolic operators of higher order

Ishida, Haruhisa

J. Math. Kyoto Univ., Tome 49 (2009) no. 1, p. 173-191 / Harvested from Project Euclid

Résumé

We consider a class of linear higher order hyperbolic equations with a single degenerate point. We give sufficient conditions in order for the Cauchy problem to be well-posed in Gevrey classes and in the $C^\infty$ class.

Publié le : 2009-05-15
Classification:

@article{1248983035,
     author = {Ishida, Haruhisa},
     title = {Levi conditions to the Gevrey well-posedness for hyperbolic operators of higher order},
     journal = {J. Math. Kyoto Univ.},
     volume = {49},
     number = {1},
     year = {2009},
     pages = { 173-191},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1248983035}
}

Ishida, Haruhisa. Levi conditions to the Gevrey well-posedness for hyperbolic operators of higher order. J. Math. Kyoto Univ., Tome 49 (2009) no. 1, pp.  173-191. http://gdmltest.u-ga.fr/item/1248983035/