Summable solutions of some partial differential equations and generalised integral means
Analysis of PDEs
2016-08-18 v2 Complex Variables
Abstract
We describe partial differential operators for which we can construct generalised integral means satisfying Pizzetti-type formulas. Using these formulas we give a new characterisation of summability of formal power series solutions to some multidimensional partial differential equations in terms of holomorphic properties of generalised integral means of the Cauchy data.
Cite
@article{arxiv.1502.02462,
title = {Summable solutions of some partial differential equations and generalised integral means},
author = {Sławomir Michalik},
journal= {arXiv preprint arXiv:1502.02462},
year = {2016}
}
Comments
20 pages