𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the Regularity of Harmonic Functions
✍ 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