@techreport{41622794b75a4865bb1ef644447bb23e,

title = "Norm-resolvent convergence for Neumann Laplacians on manifolds thinning to graphs",

abstract = "Norm-resolvent convergence with order-sharp error estimate is established for Neumann Laplacians on thin domains in $\mathbb{R}^2$ and $\mathbb{R}^3$, converging to metric graphs in the limit of vanishing thickness parameter in the resonant case.",

keywords = "math.AP, math.SP",

author = "Cherednichenko, {Kirill D.} and Ershova, {Yulia Yu} and Kiselev, {Alexander V.}",

note = "1 figure; continuation of arXiv 1808.03961. arXiv admin note: text overlap with arXiv:1808.03961",

year = "2022",

month = may,

day = "9",

language = "English",

type = "WorkingPaper",

}