منابع مشابه
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
We introduce a new variational method for the numerical homogenization of divergence form elliptic, parabolic and hyperbolic equations with arbitrary rough (L∞) coefficients. Our method does not rely on concepts of ergodicity or scale-separation but on compactness properties of the solution space and a new variational approach to homogenization. The approximation space is generated by an interp...
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In the main this paper introduces the concept of chromatic harmonic polynomials denoted, $H^chi(G,x)$ and chromatic harmonic indices denoted, $H^chi(G)$ of a graph $G$. The new concept is then applied to finding explicit formula for the minimum (maximum) chromatic harmonic polynomials and the minimum (maximum) chromatic harmonic index of certain graphs. It is also applied to split graphs and ce...
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متن کاملNote on Polyharmonic Functions1
It is the purpose of this note to show that there exists an inequality of the same general character as (1) if the hypothesis that u(P) be harmonic is replaced by the considerably weaker assumption that u(P) be a polyharmonic function of order « (w>l). The latter expression refers to a function which is continuous, has continuous derivatives up to the order 2«, and is a solution of AMu = 0, whe...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1977
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11695