We prove hypoellipticity with loss of ϵ derivatives for a system of complex vector fields whose Lie-span has a superlogarithmic estimate. In ℂ × R, the model is (L, fkL) where f = zh for h ≠ 0 and L is the vector field tangential to the exponentially nondegenerate hypersurface of infinite type defined by [formula presented] for α < 1.

Loss of derivatives in the infinite type

Pinton S.;
2015-01-01

Abstract

We prove hypoellipticity with loss of ϵ derivatives for a system of complex vector fields whose Lie-span has a superlogarithmic estimate. In ℂ × R, the model is (L, fkL) where f = zh for h ≠ 0 and L is the vector field tangential to the exponentially nondegenerate hypersurface of infinite type defined by [formula presented] for α < 1.
2015
Hypoellipticity
Infinite type
Loss of derivatives
Superlogarithmic estimate
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1140222
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