Local Gevrey and quasi-analytic hypoellipticity for $\square _b$
Author:
David S. Tartakoff
Journal:
Bull. Amer. Math. Soc. 82 (1976), 740-742
MSC (1970):
Primary 32F10, 35H05
DOI:
https://doi.org/10.1090/S0002-9904-1976-14141-9
MathSciNet review:
0410810
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References | Similar Articles | Additional Information
- M. S. Baouendi and C. Goulaouic, Analyticity for degenerate elliptic equations and applications, Partial differential equations (Proc. Sympos. Pure Math., Vol. XXIII, Univ. California, Berkeley, Calif., 1971) Amer. Math. Soc., Providence, R.I., 1973, pp. 79–84. MR 0352680
- Jan Boman, On the intersection of classes of infinitely differentiable functions, Ark. Mat. 5 (1963/65), 301–309 (1963/65). MR 220049, DOI https://doi.org/10.1007/BF02591130 3. M. Derridj, Sur la régularité G $øverline\partial$ (to appear). 4. M. Derridj and D. S. Tartakoff, On the Global Real Analyticity of Solutions to the $øverline\partial$-Neumann Problem, Comm. in Partial Differential Equations.
- G. B. Folland and E. M. Stein, Estimates for the $\bar \partial _{b}$ complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429–522. MR 367477, DOI https://doi.org/10.1002/cpa.3160270403
- J. J. Kohn, Harmonic integrals on strongly pseudo-convex manifolds. I, Ann. of Math. (2) 78 (1963), 112–148. MR 153030, DOI https://doi.org/10.2307/1970506
- J. J. Kohn, Boundaries of complex manifolds, Proc. Conf. Complex Analysis (Minneapolis, 1964) Springer, Berlin, 1965, pp. 81–94. MR 0175149
- David S. Tartakoff, Gevrey hypoellipticity for subelliptic boundary value problems, Comm. Pure Appl. Math. 26 (1973), 251–312. MR 342842, DOI https://doi.org/10.1002/cpa.3160260302 9. D. S. Tartakoff, On the global real analyticity of solutions to □, Comm. in Partial Differential Equations (to appear).
- François Trèves, An invariant criterion of hypoellipticity, Amer. J. Math. 83 (1961), 645–668. MR 132896, DOI https://doi.org/10.2307/2372902
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