Sharp Growth Estimates for Modified Poisson Integrals in a Half Space

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dc.creatorSiegel, David
dc.creatorTalvila, Erik
dc.date2001-01-02
dc.date.accessioned2026-07-25T23:04:35Z
dc.descriptionFor continuous boundary data, including data of polynomial growth, modified Poisson integrals are used to write solutions to the half space Dirichlet and Neumann problems in $\mathbb{R}^{n}$. Pointwise growth estimates for these integrals are given and the estimates are proved sharp in a strong sense. For decaying data, a new type of modified Poisson integral is introduced and used to develop asymptotic expansions for solutions of these half space problems.
dc.descriptionTo appear in Potential Analysis, 28 pages
dc.identifierhttps://arxiv.org/abs/math/0101016
dc.identifierhttp://arxiv.org/abs/math/0101016
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/95267
dc.subjectClassical Analysis and ODEs
dc.subject31B10, 35J05
dc.titleSharp Growth Estimates for Modified Poisson Integrals in a Half Space
dc.typetext

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