On the existence of the Green function for elliptic systems in divergence form

We study the existence of the Green function for an elliptic system in divergence form $-\nabla\cdot a\nabla$ in $\mathbb{R}^d$, with $d>2$. The tensor field $a=a(x)$ is only assumed to be bounded and $\lambda$-coercive. For almost every point $y \in \mathbb{R}^d$, the existence of a Green's...

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Bibliographische Detailangaben

Hauptverfasser:	Giunti, Arianna, Otto, Felix
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
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