Criteria for hypoellipticity of differential operators
Yoshinori Morimoto
Source: Publ. Res. Inst. Math. Sci. Volume 22, Number 6 (1986), 1129-1154.
Primary Subjects: 35H05
Secondary Subjects: 47F05
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.prims/1195177066
Mathematical Reviews number (MathSciNet):
MR880001
Zentralblatt MATH identifier:
0652.35020
Digital Object Identifier: doi:10.2977/prims/1195177066
References
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Zentralblatt MATH:
0247.35023
[2] Hormander, L., Subellipticoperators. Seminar on Singularities of Solutions of Linear Partial Differential Equations, Princeton University Press, 1979, 127-208.
Mathematical Reviews (MathSciNet):
MR547019
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0446.35086
[3] Hoshiro, T., A property of operators cahracterized by iteration and a necessary condition for hypoellipticity, preprint in Kyoto Univ.
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0644.35025
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MR783181
Zentralblatt MATH:
0568.60059
[7] Malliavin, P., Stochastic calculus of variation and hypoelliptic operators, Proc. Int. Symp. on S.D.E. Kyoto, Kinokuniya 1978, 195-263.
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[8] Morimoto, Y., On the hypoellipticity for infinitely degenerate semi-elliptic operators, J. Math. Soc. Japan 30 (1978), 327-358.
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[9] Morimoto, Y., Non-hypoellipticity for degenerate elliptic operators, Publ. RIMS Kyoto Univ., 22 (1986), 25-30.
Mathematical Reviews (MathSciNet):
MR880001
Zentralblatt MATH:
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[10] Morimoto, Y., On acriterion for hypoellipticity, Proc. Japan Acad., 62, Ser. A (1986), 137-140.
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MR846348
Zentralblatt MATH:
0597.35020
[H] Morimoto, Y., Hypoellipticity for infinitely degenerate elliptic operators, to appear in Osaka J. Math., 24 (1987).
Mathematical Reviews (MathSciNet):
MR881744
Zentralblatt MATH:
0658.35039
[12] Morimoto, Y., A criterion for hypoellipticity of second order differential operators, to appear in Osaka J. Math., 24 (1987).
Mathematical Reviews (MathSciNet):
MR923880
Zentralblatt MATH:
0644.35023
[13] Oleinik, O. A. and Radkevich, E. V., Second order equations with non-negative characteristics form, Amer. Math. Soc., Providence, Rhode Island and Prenum Press, 1973.
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