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Regularization of spherical cap harmonics

✍ Scribed by M. Korte; R. Holme

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
967 KB
Volume
153
Category
Article
ISSN
0956-540X

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πŸ“œ SIMILAR VOLUMES

On the Regularity of Harmonic Functions
On the Regularity of Harmonic Functions and Spherical Harmonic Maps Defined on Lattices
✍ Lawrence E. Thomas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 140 KB

A growth lemma for certain discrete symmetric Laplacians defined on a lattice Z d Ξ΄ = Ξ΄Z d βŠ‚ R d with spacing Ξ΄ is proved. The lemma implies a De Giorgi theorem, that the harmonic functions for these Laplacians are equi-HΓΆlder continuous, Ξ΄ β†’ 0. These results are then applied to establish regularity