@article{SEDP_1986-1987____A14_0, author = {Morimoto, Y.}, title = {Criteria for hypoellipticity}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:15}, pages = {1--12}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1986-1987}, mrnumber = {920033}, zbl = {0644.35022}, language = {en}, url = {http://www.numdam.org/item/SEDP_1986-1987____A14_0/} }
TY - JOUR AU - Morimoto, Y. TI - Criteria for hypoellipticity JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:15 PY - 1986-1987 SP - 1 EP - 12 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://www.numdam.org/item/SEDP_1986-1987____A14_0/ LA - en ID - SEDP_1986-1987____A14_0 ER -
%0 Journal Article %A Morimoto, Y. %T Criteria for hypoellipticity %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:15 %D 1986-1987 %P 1-12 %I Ecole Polytechnique, Centre de Mathématiques %U http://www.numdam.org/item/SEDP_1986-1987____A14_0/ %G en %F SEDP_1986-1987____A14_0
Morimoto, Y. Criteria for hypoellipticity. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1986-1987), Talk no. 15, 12 p. http://www.numdam.org/item/SEDP_1986-1987____A14_0/
[B-G] Nonanalytic hypoellipticity for some degenerate elliptic operators, Bull. Amer. Math. Soc., 78 (1972), 483-486. | MR | Zbl
and :[Fd] On a criterion for hypoellipticity, Math. USSR Sb., 14 (1971), 15-45. | Zbl
:[Ff] The uncertainty principle, Bull. Amer. Math. Soc., 9 (1983), 129-206. | MR | Zbl
:[F-P] The uncertainty principle and sharp Garding inequalities, Comm. Pure Appl. Math. 34 (1981), 285-331. | MR | Zbl
and :[Hr1] Hypoelliptic second order differential equations, Acta Math., 119 (1967), 147-171. | MR | Zbl
:[Hr2]: Subelliptic operators, Seminar on Singularities of Linear Partial Differential Equations, Princeton University Press 1979, 127-208. | MR | Zbl
[Hs 1] A property of operators characterized by iteration and a necessary condition for hypoellipticity, preprint in Kyoto Univ. | MR | Zbl
:[Hs 2] _: Microlocal energy method of Mizohata and hypoellipticity, preprint in Kyoto Univ.
[K-S] Applications of the Malliavin calculus, Part II, J. Fac. Sci. Univ. Tokyo Sect. IA, Math., 32 (1985), 1-76. | MR | Zbl
and :[Ma] Sur les equations utt + tαu xx, Nagoya Math. J., 42 (1971), 43-55. | Zbl
:[Me] Proprieté des itéres et ellipticité, Comm. Partial Differential Equations 3 (1978), 827-876. | MR | Zbl
:[Mi] On the Cauchy problem, Lectures delivered at the Wuhan University, Academic Press, Notes and Reports in Math. in Sciences and Engineering, Vol. 3, 1986. | MR | Zbl
:[M1] On the hypoellipticity for infinitely degenerate semi-elliptic operators, J. Math. Soc. Japan 30 (1978), 327-358. | MR | Zbl
:[M2] _: Non-hypoellipticity for degenerate elliptic operators, Publ. RIMS Kyoto Univ., 22 (1986), 25-30. | Zbl
[M3]: On a criterion for hypoellipticity, Proc. Japan Acad., 62 A (1986), 137-140. | MR | Zbl
[M4] _: Hypoellipticity for infinitely degenerate elliptic operators, Osaka J. Math., 24 (1987), 13-35. | MR | Zbl
[M5] _: A criterion for hypoellipticity of second order differential operators, to appear in Osaka J. Math., 24-3 (1987). | MR | Zbl
[M6] _: Criteria for hypoellipticity of differential operators, Publ RIMS Kyoto Univ. 22 No.6 (1986), 1129-1154. | MR | Zbl
[M 7]: The uncertainty principle and hypoelliptic operators, preprint.
[O-R] Second order equations with non-negative characteristies form, Amer. Math. Soc., Providence, Rhode Island and Prenum Press, 1973. | MR
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