Operators with Multiple Characteristics Gevrey Classes Local Solvability
Issue Date:
2003
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 15, No 1, (2003), 93p-104p
Abstract:
In this paper we deal with a class of semilinear anisotropic partial differential equations. The nonlinearity is allowed to be Gevrey of a certain order both in x and ∂au, with an additional condition when it is GScr in the (∂au)-variables for a critical index scr. For this class of equations we prove the local solvability in Gevrey classes.
