We consider an operator whose principal part is the $m$-th power of a Mizohata hypoelliptic operator. We assume that the lower order term vanishes at a small rate with respect to the principal part, and we prove the local nonsolvability in Gevrey classes, for large Gevrey index.
On a Gevrey non-solvable partial differential operator
OLIARO, Alessandro
2005-01-01
Abstract
We consider an operator whose principal part is the $m$-th power of a Mizohata hypoelliptic operator. We assume that the lower order term vanishes at a small rate with respect to the principal part, and we prove the local nonsolvability in Gevrey classes, for large Gevrey index.
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