Hodge equations with change of type
نویسنده
چکیده
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. MSC2000: 35M10, 58J99.
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تاریخ انتشار 2001