Summary
We prove analytic hypoellipticity for a sum of squares of vector fields in ℝ3 all of whose Poisson strata are equal and symplectic of codimension four, extending in a model setting the recent general result of Cordaro and Hanges in codimension two [2]. The easy model we study first and then its easy generalizations possess a divisibility property reminiscent of earlier work of the author and Derridj in [3] and Grigis–Sjöstrand in [4].
2000 AMS Subject Classification: 35H10, 35H12.
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Tartakoff, D.S. (2009). Analytic Hypoellipticity for a Sum of Squares of Vector Fields in ℝ3 Whose Poisson Stratification Consists of a Single Symplectic Stratum of Codimension Four. In: Bove, A., Del Santo, D., Murthy, M. (eds) Advances in Phase Space Analysis of Partial Differential Equations. Progress in Nonlinear Differential Equations and Their Applications, vol 78. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4861-9_15
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DOI: https://doi.org/10.1007/978-0-8176-4861-9_15
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