A generalized Calderón formula for open-arc diffraction problems: theoretical considerations
نویسندگان
چکیده
منابع مشابه
A generalized Calderón formula for open-arc diffraction problems: theoretical considerations
We deal with the general problem of scattering by open-arcs in two-dimensional space. We show that this problem can be solved by means of certain second-kind integral equations of the form Ñ S̃[φ] = f , where Ñ and S̃ are first-kind integral operators whose composition gives rise to a generalized Calderón formula of the form ÑS̃ = J̃τ 0 +K̃ in a weighted, periodized Sobolev space. (Here J̃τ 0 is a co...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2015
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210512000807