First and second Hadamard variational formulae of the Green function for general domain perturbations
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Publication:502087
DOI10.2969/JMSJ/06841389zbMath1436.35089OpenAlexW2537121005MaRDI QIDQ502087
Takashi Suzuki, Takuya Tsuchiya
Publication date: 30 December 2016
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/06841389
Boundary value problems for second-order elliptic equations (35J25) Green's functions for elliptic equations (35J08)
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A mathematical analysis of Casimir interactions. I: The scalar field ⋮ Liouville's formulae and Hadamard variation with respect to general domain perturbations
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