Shape analyticity and singular perturbations for layer potential operators
نویسندگان
چکیده
We study the effect of regular and singular domain perturbations on layer potential operators for Laplace equation. First, we consider potentials supported a diffeomorphic image ϕ (∂Ω) reference set ∂Ω present some real analyticity results dependence upon map . Then introduce perforated Ω( ε ) with small hole size compute power series expansions that describe ∂Ω( when parameter approximates degenerate value = 0.
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ژورنال
عنوان ژورنال: ESAIM
سال: 2022
ISSN: ['1270-900X']
DOI: https://doi.org/10.1051/m2an/2022057