Hodge equations with change of type
Analysis of PDEs
2007-05-23 v2 Differential Geometry
Abstract
A geometric interpretation is given for certain elliptic-hyperbolic systems in the plane. Among several examples, one which reduces in the elliptic region to the equations for harmonic 1-forms on the projective disc is studied in detail. A boundary-value problem for this example is formulated and is shown to possess weak solutions.
Cite
@article{arxiv.math/0104161,
title = {Hodge equations with change of type},
author = {Thomas H. Otway},
journal= {arXiv preprint arXiv:math/0104161},
year = {2007}
}
Comments
20 pages, tcilatex; thoroughly revised, with new conditions, new discussion, and a revised proof