期刊论文详细信息
Journal of Mathematical Sciences | |
Spectra of domains with partial degeneration | |
JIMBO, Shuichi1  KOSUGI, Satoshi1  | |
关键词: Singularly perturbed domain; Laplacian; eigenvalues; asymptotic behavior; | |
DOI : | |
学科分类:数学(综合) | |
来源: University of Tokyo * Department of Mathematical Sciences | |
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【 摘 要 】
WeconsidertheeigenvalueproblemoftheLaplacian(NeumannB.C.)inthedomainwhichhasaverythinsubregion.Wegiveanelaboratecharacterizationoftheasymptoticsoftheeigenvaluesandtheeigenfunctions.Theperturbationformulastakevariousformsdependingonthetypeoftheeigenvalueandgeometricsituations(dimension,shape).【 授权许可】
Unknown
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