We study the problem of perturbations of C∞ -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.
Alberto Parmeggiani (2015). A remark on the stability of C∞-hypoellipticity under lower-order perturbations. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 6(2), 227-235 [10.1007/s11868-015-0118-8].
A remark on the stability of C∞-hypoellipticity under lower-order perturbations
PARMEGGIANI, ALBERTO
2015
Abstract
We study the problem of perturbations of C∞ -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.File in questo prodotto:
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