摘 要: | 1.IntroductionCanyouheartheshapeofadrum?ProfessorProtteraskedinhisrevisitedpaperrll'Usually,thiskindofproblemscanmathematicallybesolvedbyestimatingtheboundsoftheeigenvaluestopolyharmonicoperators.IfonestrikessimultaneouslyNdrumsmadebythesamematerialandpossessingthesamesize,weshouldaskthatcanyouheartheshapeofthedrums?Toanswerthisquestion,onemightconsideraneigenvalueproblemforacertainsystemasfollows:wherefiisaboundedsmoothdomaininRe(m22),u=(al)ro,',urn)istheoutwardunitnormaltotheboundaryoffi…
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