Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614204 | Journal of Mathematical Analysis and Applications | 2016 | 18 Pages |
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
Sławomir Michalik,