A remark on the stability of C-infinity-hypoellipticity under lower-order perturbations

作者：Parmeggiani Alberto^*

来源：Journal of Pseudo-Differential Operators and Applications, 2015, 6(2): 227-235.

DOI：10.1007/s11868-015-0118-8

• C-infinity-Hypoellipticity
• Hypoellipticity with loss of derivatives
• Fundamental solution

We study the problem of perturbations of C-infinity-hypoelliptic operators by lower order terms. We show that hypoellipticity with a finite loss of derivatives of a linear partial differential operator P (with no assumption on the characteristic set), along with its formal adjoint P*, is stable under perturbations by lower order linear partial differential operators whose order depends on the loss of derivatives.

• 出版日期2015-6