Article ID Journal Published Year Pages File Type
4614204 Journal of Mathematical Analysis and Applications 2016 18 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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