Regularitas Operator Potensial Layer Tunggal
| Main Author: | Wono Setya Budhi; Jurusan Matematika FMIPA - ITB |
|---|---|
| Format: | Article application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
Institut Teknologi Bandung
, 2009
|
| Subjects: | |
| Online Access: |
http://journal.fmipa.itb.ac.id/jms/article/view/29 |
Daftar Isi:
- We prove the regularity of the operator Ω∈−=∫Ωxdsxxu)()(||ln21)(ξξφξπ∂ using similar technique for proving Cauchy integral operator. If φ are continue on ∂Ω, we prove that u is uniformly Holder continue in Ω with Holder exponent α for every α ∈ (0,1). However, from the proof, if uL then u is in the same space as before.