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arXiv · 2106.00272

On polynomial solutions of PDE

Anna R. Gharibyan·Hakop A. Hakopian
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Abstract

In this paper we prove that the PDE $p(D)f=q,$ where $p$ and $q$ are multivariate polynomials, has a solution in the space of polynomials of total degree not exceeding ${n+s},$ where $n$ is the degree of $q$ and $s$ is the zero order of $O=(0,\ldots,0)$ for $p.$

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Anna R. Gharibyan, Hakop A. Hakopian. 2021-06-01. On polynomial solutions of PDE. https://arxiv.org/abs/2106.00272

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