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Nonanalytic-hypoellipticity for some degenerate elliptic operators


Authors: M. S. Baouendi and C. Goulaouic
Journal: Bull. Amer. Math. Soc. 78 (1972), 483-486
MSC (1970): Primary 35H05, 35J70; Secondary 35A05
MathSciNet review: 0296507
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References [Enhancements On Off] (What's this?)

  • 1. M. S. Baouendi and C. Goulaouic, Étude de l’analycité et de la régularité Gevrey pour une classe d’opérateurs elliptiques dégénérés, Ann. Sci. École Norm. Sup. (4) 4 (1971), 31–46 (French). MR 0287159
  • 2. M. S. Baouendi and C. Goulaouic, Régularité analytique et itérés d’opérateurs elliptiques dégénérés; applications, J. Functional Analysis 9 (1972), 208–248 (French). MR 0298471
  • 3. Lars Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147–171. MR 0222474
  • 4. J.-L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications. Vol. 3, Dunod, Paris, 1970 (French). Travaux et Recherches Mathématiques, No. 20. MR 0291887
  • 5. Tadato Matsuzawa, Sur les èquations 𝑢_{𝑡𝑡}+𝑡^{𝛼}𝑢ₓₓ=𝑓(𝛼≧0), Nagoya Math. J. 42 (1971), 43–55 (French). MR 0284699

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DOI: https://doi.org/10.1090/S0002-9904-1972-12955-0