Solvability for semilinear PDE with multiple characteristics
Volume 60 / 2003
Banach Center Publications 60 (2003), 295-303
MSC: 35S05
DOI: 10.4064/bc60-0-23
Abstract
We prove local solvability in Gevrey spaces for a class of semilinear partial differential equations. The linear part admits characteristics of multiplicity $k\geq 2$ and data are fixed in $G^\sigma$, $1<\sigma<\frac{k}{k-1}$. The nonlinearity, containing derivatives of lower order, is assumed of class $G^\sigma$ with respect to all variables.
