14 citations · 30 across the 15 of their papers we have counts for
5 papers · 1 filter
Global hypoellipticity of the Kohn-Laplacian on pseudoconvex CR manifolds
Tran Vu Khanh
Let be a complex manifold and a compact, smooth, pseudoconvex CR manifold of dimension . (Here or, in case , it is made the extra assumption th…
Loss of derivatives in the infinite type
T. V. Khanh, S. Pinton, G. Zampieri
We discuss loss of derivatives for degenerate vector fields obtained from infinite type exponentially non-degenerate hypersurfaces of $\C^2$.
Loss of derivatives for systems of complex vector fields and sums of squares
Tran Vu Khanh, Stefano Pinton, Giuseppe Zampieri
We discuss, both for systems of complex vector fields and for sums of squares, the phenomenon discovered by Kohn of hypoellipticity with loss of derivatives.
Hypoellipticity of the -Neumann problem at exponentially degenerate points
Tran Vu Khanh, Giuseppe Zampieri
We prove that the -Neumann solution operator is locally regular in a domain which has compactness estimates, is of finite type outside a curve transversal to the CR d…
A general method of weights in the d-bar-Neumann problem
Tran Vu Khanh
This thesis deals with Partial Differential Equations in Several Complex Variables and especially focuses on a general estimate for the -Neumann problem on a domain w…