Author |
KURATA, Hisayasu
YAMASAKI, Maretsugu
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Description | Discrete q-Green potentials related to the equation Δuqu = 0 on an innite network were studied in [12] as a discrete analogue to [9]. We study some properties of q-Green potentials with nite q-Green energy. The q-Dirichlet energy plays an important role instead of the Dirichlet sum. Our aim is to show that results obtained in [7] in case q = 0 hold similarly even in case q 0. We show that every q-Dirichlet potential can be expressed as a difference of two q-Green potentials with nite q-Green energy.
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Journal information |
Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics
51
, 7
- 21
, 2018-03
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Publisher | 総合理工学部
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