An analogue of Berry's conjecture for the phase in fractal obstacle scattering期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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An analogue of Berry's conjecture for the phase in fractal obstacle scattering

Authors:	SLEEMAN B D; HUA CHEN

Institution:	Department of Mathematics and Computer Science, University of Dundee Dundee DD1 4HN, Scotland, UK Department of Mathematics, Wuhan University Wuhan, Hubei 430072, People's Republic of China

Abstract:	In this paper, the authors consider the high-frequency asymptoticsof the phase s( ${lambda}$ ) of acoustic waves scattered by an obstacle ${Omega}$ $sub$ Rⁿ with fractal boundary. Under certain conditions, it is provedthat if ${partial}$ ${Omega}$ is ${delta}$ –Minkowski measurable with ${delta}$ –Minkowskimeasure µ then there exists a positive constant C_n, dependingonlyon n and ${delta}$ such that where

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