Abstract.
A geometric interpretation is given for certain elliptic-hyperbolic systems in the plane. Among several examples, one which reduces 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 shown to possess weak solutions.
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Received: May 16, 2001; in final form: September 24, 2001¶Published online: October 30, 2002
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Otway, T. Hodge equations with change of type. Ann. Mat. Pura Appl. IV. Ser. 181, 437–452 (2002). https://doi.org/10.1007/s10231-002-0049-x
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DOI: https://doi.org/10.1007/s10231-002-0049-x