Mixed boundary value problem of Laplace equation in a bounded Lipschitz domain

Tong Keun Chang, Hi Jun Choe

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We study the existence and uniqueness of the mixed boundary value problem for Laplace equation in a bounded Lipschitz domain Ω ⊂ Rn, n ≥ 3. Let the boundary ∂Ω of Ω be decomposed by ∂ Ω = Γ = Γ1 ∪ over(Γ, -)2 = over(Γ, -)1 ∪ Γ2, Γ1 ∩ Γ2 = ∅. We will show that if the Neumann data ψ is in H- frac(1, 2)2) and the Dirichlet data f is in Hfrac(1, 2)1), then the mixed boundary value problem has a unique solution and the solution is represented by potentials.

Original languageEnglish
Pages (from-to)794-807
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume337
Issue number2
DOIs
Publication statusPublished - 2008 Jan 15

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Mixed boundary value problem of Laplace equation in a bounded Lipschitz domain'. Together they form a unique fingerprint.

  • Cite this