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A problem of transversal anisotropic ellipticity. (English) Zbl 1072.35132

In this paper an invariant characterization of hypoellipticity of an operator with transversally elliptic symbol is obtained in terms of the parametrix and injectivity of certain operators. The minimal number of the lost derivatives is controlled so that the classical Grushin model is included.

MSC:

35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs
35S05 Pseudodifferential operators as generalizations of partial differential operators
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