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The chaotic linear map in the function space defined on a planar lattices

✍ Scribed by Jiayin Du; Deming Zhu

Book ID
108088393
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
365 KB
Volume
23
Category
Article
ISSN
0960-0779

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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