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On interior regularity of solutions of a class of hypoelliptic equations

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Part of the Lecture Notes in Mathematics book series (2803,volume 1306)

Keywords

  • Pseudodifferential Operator
  • Partial Differential Operator
  • Principal Symbol
  • Linear Partial Differential Operator
  • Interior Estimate

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References

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

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  2. Kohn, J.J., Pseudo-differential operators and hypoellipticity, Proc. Symp. Pure Math., 23, 61–69 (1973).

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  3. Oleinik, O.A. and Radkevitch, E.M., Second order equations with nonnegative characteristic form, Itogi Nauk, Moscow (1971).

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  4. Hörmander, L., The analysis of linear partial differential operators III, Springer-Verlag (1985).

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  5. Rothchild, L.P. and Stein, E.M., Hypoelliptic differential operators and nilpotent groups, Acta Math., 137, 247–320 (1976).

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  6. Bolley, P., Camus, J. et Nourrigat, J., La Condition de Hörmander-Kohn Pour les operateurs pseudo-differentiels, Comm. in P.D.E., 7(2), 197–221 (1982).

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© 1988 Springer-Verlag

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Yumin, H. (1988). On interior regularity of solutions of a class of hypoelliptic equations. In: Chern, Ss. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082926

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  • DOI: https://doi.org/10.1007/BFb0082926

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19097-4

  • Online ISBN: 978-3-540-39107-4

  • eBook Packages: Springer Book Archive