Asymptotic Behavior of Positive Harmonic Functions in Certain Unbounded Domains |
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Authors: | Koushik Ramachandran |
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Institution: | 1. Purdue University, 150 N. University Street, West Lafayette, IN, 47907, USA
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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. |
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