In this paper we are concerned with the local solvability of a class of semilinear partial differential equations that are, in general, not locally solvable in $C^\infty$. The linear part has multiple characteristics and it is the composition of $p$ operators, each of them contains lower order terms. We shall analyze the influence of these terms on the local solvability in Gevrey classes.
On the influence of the lower order terms on the Gevrey local solvability of a class of equations with multiple characteristics
OLIARO, Alessandro
2006-01-01
Abstract
In this paper we are concerned with the local solvability of a class of semilinear partial differential equations that are, in general, not locally solvable in $C^\infty$. The linear part has multiple characteristics and it is the composition of $p$ operators, each of them contains lower order terms. We shall analyze the influence of these terms on the local solvability in Gevrey classes.
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