| ASYMPTOTIC FORMULAE OF EIGENVALUE-COUNTING FUNCTION FOR ELLIPTIC EIGENVALUE PROBLEMS ON A BOUNDED DOMAIN WITH A FRACTAL BOUNDARY |
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| 作者姓名： | Minoru Yanagawa 王忠 孙炯 |
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| 作者单位： | Minoru Yanagawa(School of Dentistry，Nihon University，Tokyo，101，Japan)Wang Zhong(Dept. of Math.，Zhaoqing University，Zhaoqing 526061)Sun Jiong(Dept. of Math.，Inner Mongolia University，Hohhot 010021) |
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| 基金项目： | The work was supported by the National Natural Science Foundation of China(1987103)． |
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| 摘 要： | IIntroductlonLet fi be a bounded open set In the n－dimensional Euclldean space R”withtheboundaryo0．In this paper,we shallessentiallydeal with thefollowingeigenvalue problem:,nD 一)。o…4km)螂川川J”人川川,x〔u,丸 人k＝1\“’“)llillj＝U．U b UI。where丸 meanso/axj,and we suPPose that coeaclents aj。(x),J;k＝ 1,2;…,。satisfy the following conditions:(1)aj。(x)is real function and belong to Cm(R”);(2)There exists an M＞0;such that Iajk(x)l＜M;;;k二 1,2,…,n;148 Ann ofDiff Eqs Vol…
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ASYMPTOTIC FORMULAE OFEIGENVALUE-COUNTING FUNCTION FORELLIPTIC EIGENVALUE PROBLEMSON A BOUNDED DOMAIN WITHA FRACTAL BOUNDARY |
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| Minoru Yanagawa.ASYMPTOTIC FORMULAE OF EIGENVALUE-COUNTING FUNCTION FOR ELLIPTIC EIGENVALUE PROBLEMS ON A BOUNDED DOMAIN WITH A FRACTAL BOUNDARY[J].微分方程年刊(英文版),2002(2). |
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| Authors: | Minoru Yanagawa |
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| Abstract: | In this paper, we shall treat the eigenvalue problems of certain second elliptic boun-dary problem on the bounded open set with a fractal boundary, and give the asymptoticdistribution of eigenvalues of second elliptic operator associated with the second ellipticboundary problem. |
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| Keywords: | eigenvalue resolvent operator eigenvalue counting-function |
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