Premium
Screen Problem for Vector Helmholtz Equation
Author(s) -
Sigua L.
Publication year - 1999
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19992060106
Subject(s) - mathematics , helmholtz equation , mathematical analysis , uniqueness , smoothness , bessel function , boundary value problem , boundary (topology) , space (punctuation) , pure mathematics , philosophy , linguistics
The paper deals with the screen boundary value problem for vector Helmholtz equation in the three‐dimensional space. Using the method of boundary integral equations and the theory of elliptic pseudodifferential operators on manifolds with boundary we prove uniqueness and existence theorems in Bessel‐potential and Besov spaces and establish C α ‐smoothness (with α < 1/2) of solutions up to the boundary.