A Parabolic Approach to Martin Boundaries for Elliptic Equations in Skew Product Form |
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| Authors: | Minoru Murata Noriaki Suzuki |
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| Institution: | 1. 5-30-1 Shinyoshida-Higashi, Kohoku-ku, Yokohama, 223-0058, Japan
2. Department of Mathematics, Meijo University, Shiogamaguchi, Tenpaku-ku, Nagoya, 468-8502, Japan
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| Abstract: | We consider positive solutions of elliptic partial differential equations on non-compact domains of Riemannian manifolds. We explicitly determine Martin compactifications and Martin kernels for a wide class of elliptic equations in skew product form by exploiting parabolic Martin kernels for associated parabolic equations. |
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