REDUCTION OF DIMENSION AS A CONSEQUENCE OF NORM-RESOLVENT CONVERGENCE AND APPLICATIONS

被引：9

作者：

Krejcirik, D. ^{[1
]}

Raymond, N. ^{[2
]}

Royer, J. ^{[3
]}

Siegl, P. ^{[4
]}

机构：

[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Trojanova 13, Prague 12000 2, Czech Republic

[2] Univ Rennes 1, IRMAR, Campus Beaulieu, F-35042 Rennes, France

[3] Univ Toulouse 3, Inst Math Toulouse, 118 Route Narbonne, F-31062 Toulouse 9, France

[4] Univ Bern, Math Inst, Alpeneggstr 22, CH-3012 Bern, Switzerland

来源：

MATHEMATIKA | 2018年 / 64卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

LAPLACIAN;

D O I：

10.1112/S0025579318000013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to dimensional reductions via the normresolvent convergence. We derive explicit bounds on the resolvent difference as well as spectral asymptotics. The efficiency of our abstract tool is demonstrated by its application on seemingly different partial differential equation problems from various areas of mathematical physics; all are analysed in a unified manner, known results are recovered and new ones established.

引用

页码：406 / 429

页数：24

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