Propagation of singularities for $\bar \partial$

Propagation of singularities for

\bar{\partial}

Kohn, J. J.

Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires, Astérisque, no. 2-3 (1973), pp. 244-251

MR Zbl

@incollection{AST_1973__2-3__244_0,
     author = {Kohn, J. J.},
     title = {Propagation of singularities for $\bar \partial$},
     booktitle = {Colloque International C.N.R.S. sur les \'equations aux d\'eriv\'ees partielles lin\'eaires},
     series = {Ast\'erisque},
     pages = {244--251},
     year = {1973},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {2-3},
     mrnumber = {390533},
     zbl = {0272.35054},
     language = {en},
     url = {https://www.numdam.org/item/AST_1973__2-3__244_0/}
}

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Kohn, J. J. Propagation of singularities for $\bar \partial$, dans Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires, Astérisque, no. 2-3 (1973), pp. 244-251. https://www.numdam.org/item/AST_1973__2-3__244_0/

Bibliographie
Cité par

[1] Folland G. B. and Kohn J. J. "The Neumann problem for the Cauchy-Riemann complex", Annals of Mathematical Studies, Princeton University Press (1972). | MR | Zbl

[2] Grauert H., "Bemerkenswerte pseudokonvexe mannifaltigkeiten", Math. Z. 81 (1963), 377-391. | MR | Zbl | EuDML | DOI

[3] Grauert H. and Lieb I., "Das Ramirezsche Integral und die Gleichung $\bar{\partial} f = α$ in Bereich der beschrenkten Formen", to appear in Rice University Studies. | Zbl | MR

[4] Henkin G., "Integral representations of functions on strongly pseudo-convex domains and certain applications", Mat. Sbornik 78 (1969), 611-632.

[5] Hörmander L., " $L^{2}$ estimates and existence theorems for the $\bar{\partial}$ operator", Acta Math. 113 (1965), 89-152. | MR | Zbl | DOI

[6] Kerzman N., "Hölder and $L^{P}$ estimates for solutions of $\bar{\partial} u = f$ in strongly pseudo-convex domains", Comm. Pure Appl. Math. 24 (1971), 301-379. | MR | Zbl | DOI

[7] Kohn J. J., "Harmonic integrals on strongly pseudo-convex manifolds I and II", Ann. of Math. 78 (1963), 112-148 | MR | Zbl | DOI

Kohn J. J., "Harmonic integrals on strongly pseudo-convex manifolds I and II", Ann. of Math. 79 (1964), 450-472. | MR | Zbl | DOI

[8] Kohn J. J., "Boundary behaviour of $\partial$ on weakly pseudo-convex manifolds of dimension two", Journal of Diff. Geometry (to appear). | Zbl | MR

[9] Kohn J. J., "Global regularity of $\partial$ on weakly pseudo-convex manifolds", Trans. A.M.S. (to appear). | MR | Zbl

[10] Kohn, J. J. and Nirenberg L., "Non-coercive boundary value problems", Comm. Pure Appl. Math. 18 (1965), 443-492. | MR | Zbl | DOI

[11] Kohn, J. J. and Nirenberg L., "An example of a pseudo-convex surface which does not admit a holomorphic separating function", (to appear).