Hodge equations with change of type
classification
🧮 math.AP
math.DG
keywords
equationsboundary-valuecertainchangedetaildiscellipticelliptic-hyperbolic
read the original 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.
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