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Strictly hypoelliptic second order differential operators


Author: Kazuhiro Yamamoto
Journal: Proc. Amer. Math. Soc. 85 (1982), 187-191
MSC: Primary 35H05; Secondary 35S05
DOI: https://doi.org/10.1090/S0002-9939-1982-0652439-6
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] L. Hörmander, Hypotelliptic second order differential equations, Acta Math. 119 (1967), 147-171. MR 0222474 (36:5526)
  • [2] -, Fourier integral operators. I, Acta Math. 127 (1971), 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] K. Yamamoto, Hypoelliptic second order differential operators with complex coefficients, Studies in Anal., Adv. Math. Supplementary Studies (edited by G. C. Rota) 4 (1979), 123-133. MR 546804 (81g:35018)

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DOI: https://doi.org/10.1090/S0002-9939-1982-0652439-6
Article copyright: © Copyright 1982 American Mathematical Society

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