The transmission problem with boundary conditions given by real measures

• Autorzy: Dagmar Medková
• Języki publikacji: EN

Abstrakty

EN

The unique solvability of the problem Δu = 0 in G⁺ ∪ G¯, u₊ - au_ = f on ∂G⁺, n⁺·∇u₊ - bn⁺·∇u_ = g on ∂G⁺ is proved. Here a, b are positive constants and g is a real measure. The solution is constructed using the boundary integral equation method.

Kategorie tematyczne

• 31B10: Integral representations, integral operators, integral equations methods
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 92
• Numer: 3
• Strony: 243-259

Daty

wydano

2007

Twórcy

autor

Dagmar Medková

• Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University, Karlovo nám. 13, 12 135 Praha 2, Czech Republic

Identyfikatory

DOI

10.4064/ap92-3-4