Hodge equations with change of type

Details Hodge equations with change of type Hodge equations with change of type

2001-04-16

arxiv.org/abs/math/0104161v2

Annali di Matematica Pura ed Applicata 181,437-452(2002)

Mathematics

Analysis of PDEs

20 pages, tcilatex; thoroughly revised, with new conditions, new discussion, and a revised proof

Scientific paper

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.

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