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Subelliptic Estimates for some Systems of Complex Vector Fields

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Hyperbolic Problems and Regularity Questions

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References

  1. B. Helffer and F. Nier, Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians, Lecture Notes in Math. 1862, Springer-Verlag, Berlin, 2005.

    Google Scholar 

  2. L. Hörmander, Hypoelliptic second order differential, Acta Math. 119 (1967), 147–171.

    Article  MathSciNet  MATH  Google Scholar 

  3. L. Hörmander, Subelliptic operators. In Seminar on singularities of solutions of linear partial differential equations, Ann. Math. Studies 91 (1978), 127–208.

    Google Scholar 

  4. J.J. Kohn, Hypoellipticity and loss of derivates. With an appendix by M. Derridj and D.S. Tartakoff, Ann. of Math. 162 (2005) n. 2, 943–986.

    Article  MathSciNet  MATH  Google Scholar 

  5. H. Maire, Hypoelliptic overdetermined systems of partial differential equations 5 (1980), 331–380.

    MATH  MathSciNet  Google Scholar 

  6. H. Maire, Regularité optimale des solutions de systèmes differentiels et du Laplacien associé, Math. Ann. 258 (1981), 55–63.

    Article  MathSciNet  MATH  Google Scholar 

  7. J. Nourrigat, Subelliptic systems II, Invent. Math. 104(2) (1991), 377–400.

    Article  MathSciNet  MATH  Google Scholar 

  8. L. Rothschild and E. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1976), 247–320.

    Article  MathSciNet  Google Scholar 

  9. F. Treves, A new method of proof of the subelliptic estimates Comm. Pure Appl. Math. 24 (1971), 71–115.

    MathSciNet  MATH  Google Scholar 

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© 2006 Birkhäuser Verlag Basel/Switzerland

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Derridj, M. (2006). Subelliptic Estimates for some Systems of Complex Vector Fields. In: Padula, M., Zanghirati, L. (eds) Hyperbolic Problems and Regularity Questions. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7451-8_11

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