Regularitas Operator Potensial Layer Tunggal

Wono Setya Budhi ( Jurusan Matematika FMIPA - ITB)

Jurnal Matematika & Sains
Vol 2, No 1 (1997)

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.