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Asymptotic behavior of positive harmonic functions in certain unbounded domains

Posted on:2015-08-26Degree:Ph.DType:Dissertation
University:Purdue UniversityCandidate:Ramachandran, KoushikFull Text:PDF
GTID:1470390017990735Subject:Mathematics
Abstract/Summary:
We derive asymptotic estimates at infinity for positive harmonic functions in a large class of non-smooth unbounded domains. These include domains whose sections, after rescaling, resemble a Lipschitz cylinder or a Lipschitz cone, e.g., various paraboloids and horns.
Keywords/Search Tags:Positive harmonic functions
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