Strictly hypoelliptic second order differential operators
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- by Kazuhiro Yamamoto PDF
- Proc. Amer. Math. Soc. 85 (1982), 187-191 Request permission
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
- Lars Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147–171. MR 222474, DOI 10.1007/BF02392081
- Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79–183. MR 388463, DOI 10.1007/BF02392052 O. A. Oleinik and E. V. Radkevič, Second order equations with non-negative characteristic form, Amer. Math. Soc., Providence, R.I., 1973.
- 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
Additional Information
- © Copyright 1982 American Mathematical Society
- 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