Asymptotic behavior of positive harmonic functions in certain unbounded domains
Abstract
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.
Degree
Ph.D.
Advisors
Mayboroda, Purdue University.
Subject Area
Mathematics
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