ON AN INCLUSION OF THE ESSENTIAL SPECTRUM OF LAPLACIANS UNDER NON-COMPACT CHANGE OF METRIC

JUN MASAMUNE

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ON AN INCLUSION OF THE ESSENTIAL SPECTRUM OF LAPLACIANS UNDER NON-COMPACT CHANGE OF METRIC

机译：关于非紧凑度量的拉普拉斯人的本质谱的包含

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摘要

The stability of essential self-adjointness and an inclusion of the essential spectra of Laplacians under the change of a Riemannian metric on a subset K of M are proved. The set K may have infinite volume measured with the new metric, and its completion may contain a singular set such as the fractal set, to which the metric is not extendable.

机译：证明了在M的子集K上的黎曼度量改变后，基本自我伴随的稳定性以及Laplacians的基本谱的包含。集合K可能具有用新度量度量的无限体积，并且其完成可能包含度量无法扩展到的单数集（例如分形集）。

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《Proceedings of the American Mathematical Society》 |2012年第3期|共8页
作者
JUN MASAMUNE;
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正文语种 eng
中图分类数学;
关键词
Essential self-adjointness; incomplete manifolds; essential spectrum; perturbation;

机译：本质自伴;不完全流形;本质谱;摄动;

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1. ON AN INCLUSION OF THE ESSENTIAL SPECTRUM OF LAPLACIANS UNDER NON-COMPACT CHANGE OF METRIC [J] . JUN MASAMUNE Proceedings of the American Mathematical Society . 2012,第3期

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ON AN INCLUSION OF THE ESSENTIAL SPECTRUM OF LAPLACIANS UNDER NON-COMPACT CHANGE OF METRIC

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