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Geometric analysis of PDE and several complex variables

Abstract

The main purpose of the project is to continue our research work in the fields of Linear Partial Differential Equations and Multidimensional Complex Analysis as well as to increase our activities on supervision of graduate students research work in these areas. The main topics to be studied are: (a) the extension of the F. and M. Riesz theorem to complex vector fields; (b) the theory of Hardy spaces for solutions of non-elliptic vector fields; (c) local, semi-global and global solvability for linear differential operators and involutive systems of complex vector fields; (d) regularity properties of the solutions: C8, analytic and Gevrey hypoellipticity; (e) general properties of the approximate solutions to involutive systems of complex vector fields. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
HOUNIE, JORGE; LANCONELLI, ERMANNO. A sphere theorem for a class of Reinhardt domains with constant Levi curvature. FORUM MATHEMATICUM, v. 20, n. 4, p. 571-586, JUL 2008. Web of Science Citations: 10.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.