Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations.
Complex vector fields and hypoelliptic partial differential operators
We prove a subelliptic estimate for systems of complex vector fields under some assumptions that generalize the essential pseudoconcavity for CR manifolds, that was first introduced by two of the authors, and the Hörmander’s bracket condition for real vector fields.Applications are given to prove the hypoellipticity of first order systems and second order partial differential operators.Finally we describe a class of compact homogeneous CR manifolds for which the distribution of vector fields satisfies...
Correction to the paper: local regularity for the solutions of the p-Laplacian on the Heisenberg group. The case