The Harmonic Operator for Exterior Differential Forms.
نویسنده
چکیده
منابع مشابه
Harmonic Functions with given Values and Minimum Norms in Riemannian Spaces.
We use the standard notations: differential forms ap, their exterior algebra A, exterior derivative d<p, Hodge's star operator *, coderivative 3f = (_ 1)nP + n 1*d*(P, Laplace-Beltrami operator A = d3 + Md, exterior product (pAg,, inner product (so,*) = fJmpA*4p, and the Dirichlet norm D(sp) = (dep, dp) + (a<p, 5op). For 0forms u the norm reduces to D(u) = (du, du), and Au has the representation
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عنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 37 1 شماره
صفحات -
تاریخ انتشار 1951