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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Strictly hypoelliptic second order differential operators


Author: Kazuhiro Yamamoto
Journal: Proc. Amer. Math. Soc. 85 (1982), 187-191
MSC: Primary 35H05; Secondary 35S05
MathSciNet review: 652439
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Abstract: We shall show strict hypoellipticity of some second order differential operators which are generalized equations considered by Hörmander, Oleinik and Radkevič, using localized energy inequalities.


References [Enhancements On Off] (What's this?)

  • [1] Lars Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147–171. MR 0222474 (36 #5526)
  • [2] Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79–183. MR 0388463 (52 #9299)
  • [3] O. A. Oleinik and E. V. Radkevič, Second order equations with non-negative characteristic form, Amer. Math. Soc., Providence, R.I., 1973.
  • [4] Kazuhiro Yamamoto, Hypoelliptic second-order differential operators with complex coefficients, Studies in analysis, Adv. in Math. Suppl. Stud., vol. 4, Academic Press, New York-London, 1979, pp. 123–133. MR 546804 (81g:35018)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0652439-6
PII: S 0002-9939(1982)0652439-6
Article copyright: © Copyright 1982 American Mathematical Society