2001/04/30 by Thomas H. Otway
Mathematics · #math.AP #math.DG #msc:35M10 #msc:58J99
published as Annali di Matematica Pura ed Applicata 181,437-452(2002) · 20 pages, tcilatex; thoroughly revised, with new conditions, new discussion, and a revised proof
arxiv created 2001/09/12 · arxiv updated 2009/11/30
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.