Propagation des singularités Gevrey pour l'équation de Cauchy-Riemann dégénérée
Lascar, Bernard ; Lerner, Nicolas
HAL, hal-00725013 / Harvested from HAL
Text on HAL
In this paper we study the degenerate Cauchy-Riemann equation in Gevrey classes. We first prove the local solvability in Gevrey classes of functions and ultra-distributions. Using microlocal techniques with Fourier integral operators of infinite order and microlocal energy estimates, we prove a result of propagation of singularities along one dimensional bicharacteristics.
Publié le : 2001-07-05
Classification:  35A21; 35A27; 35S05,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00725013,
     author = {Lascar, Bernard and Lerner, Nicolas},
     title = {Propagation des singularit\'es Gevrey pour l'\'equation de Cauchy-Riemann d\'eg\'en\'er\'ee},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00725013}
}

Lascar, Bernard; Lerner, Nicolas. Propagation des singularités Gevrey pour l'équation de Cauchy-Riemann dégénérée. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00725013/