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Hodge equations with change of type

Thomas H. Otway
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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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Thomas H. Otway. 2001-09-12. Hodge equations with change of type. https://arxiv.org/abs/math/0104161

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