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arXiv · 1811.08623

Non-solvability in the flat category of elliptic operators with real analytic coefficients

Martino Fassina·Yifei Pan
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Abstract

Let $Ω\subset\mathbb{R}^n, n\geq 2$, be an open set. For an elliptic differential operator $L$ on $Ω$ with real analytic coefficients and a point $p\inΩ$, we construct a smooth function $g$ with the following properties: $g$ is flat at $p$ and the equation $Lu=g$ has no smooth local solution $u$ that is flat at $p$.

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Martino Fassina, Yifei Pan. 2020-11-09. Non-solvability in the flat category of elliptic operators with real analytic coefficients. https://arxiv.org/abs/1811.08623

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