Criteria for hypoellipticity

Y. Morimoto

Séminaire Équations aux dérivées partielles (Polytechnique) (1986-1987)

  • page 1-12

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Morimoto, Y.. "Criteria for hypoellipticity." Séminaire Équations aux dérivées partielles (Polytechnique) (1986-1987): 1-12. <http://eudml.org/doc/111913>.

@article{Morimoto1986-1987,
author = {Morimoto, Y.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {sufficient conditions; hypoellipticity},
language = {eng},
pages = {1-12},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Criteria for hypoellipticity},
url = {http://eudml.org/doc/111913},
year = {1986-1987},
}

TY - JOUR
AU - Morimoto, Y.
TI - Criteria for hypoellipticity
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1986-1987
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 12
LA - eng
KW - sufficient conditions; hypoellipticity
UR - http://eudml.org/doc/111913
ER -

References

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  1. [B-G] M.S. Baouendi and C. Goulaouic: Nonanalytic hypoellipticity for some degenerate elliptic operators, Bull. Amer. Math. Soc., 78 (1972), 483-486. Zbl0276.35023MR296507
  2. [Fd] V.S. Fedii: On a criterion for hypoellipticity, Math. USSR Sb., 14 (1971), 15-45. Zbl0247.35023
  3. [Ff] C. Fefferman: The uncertainty principle, Bull. Amer. Math. Soc., 9 (1983), 129-206. Zbl0526.35080MR707957
  4. [F-P] C. Fefferman and D.H. Phong: The uncertainty principle and sharp Garding inequalities, Comm. Pure Appl. Math.34 (1981), 285-331. Zbl0458.35099MR611747
  5. [Hr1] L. Hörmander: Hypoelliptic second order differential equations, Acta Math., 119 (1967), 147-171. Zbl0156.10701MR222474
  6. [Hr2]: Subelliptic operators, Seminar on Singularities of Linear Partial Differential Equations, Princeton University Press1979, 127-208. Zbl0446.35086MR547019
  7. [Hs 1] T. Hoshiro: A property of operators characterized by iteration and a necessary condition for hypoellipticity, preprint in Kyoto Univ. Zbl0644.35025MR910226
  8. [Hs 2] _: Microlocal energy method of Mizohata and hypoellipticity, preprint in Kyoto Univ. 
  9. [K-S] S. Kusuoka and D. Strook: Applications of the Malliavin calculus, Part II, J. Fac. Sci. Univ. Tokyo Sect. IA, Math., 32 (1985), 1-76. Zbl0568.60059MR783181
  10. [Ma] T. Matsuzawa: Sur les equations utt + tαu xx, Nagoya Math. J., 42 (1971), 43-55. Zbl0197.37102
  11. [Me] G. Métivier: Proprieté des itéres et ellipticité, Comm. Partial Differential Equations3 (1978), 827-876. Zbl0388.35063MR504629
  12. [Mi] S. Mizohata: On the Cauchy problem, Lectures delivered at the Wuhan University, Academic Press, Notes and Reports in Math. in Sciences and Engineering, Vol. 3, 1986. Zbl0616.35002MR860041
  13. [M1] Y. Morimoto: On the hypoellipticity for infinitely degenerate semi-elliptic operators, J. Math. Soc. Japan30 (1978), 327-358. Zbl0369.35016MR494715
  14. [M2] _: Non-hypoellipticity for degenerate elliptic operators, Publ. RIMS Kyoto Univ., 22 (1986), 25-30. Zbl0616.35018
  15. [M3]: On a criterion for hypoellipticity, Proc. Japan Acad., 62A (1986), 137-140. Zbl0597.35020MR846348
  16. [M4] _: Hypoellipticity for infinitely degenerate elliptic operators, Osaka J. Math., 24 (1987), 13-35. Zbl0658.35039MR881744
  17. [M5] _: A criterion for hypoellipticity of second order differential operators, to appear in Osaka J. Math., 24-3 (1987). Zbl0644.35023MR923880
  18. [M6] _: Criteria for hypoellipticity of differential operators, Publ RIMS Kyoto Univ.22 No.6 (1986), 1129-1154. Zbl0652.35020MR880001
  19. [M 7]: The uncertainty principle and hypoelliptic operators, preprint. Zbl0658.35040
  20. [O-R] O.A. Oleinik and E.V. Radkevich, Second order equations with non-negative characteristies form, Amer. Math. Soc., Providence, Rhode Island and Prenum Press, 1973. MR457908

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