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.File in questo prodotto:
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