THE PRINCIPLE OF LIMIT AMPLITUDE
THE PRINCIPLE OF LIMIT AMPLITUDE
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极限幅度原理
DOI：
10.1070/rm1969v024n03abeh001348
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发表时间：
1969
影响因子：
0.9
通讯作者：
D. Eidus
中科院分区：
文献类型：
--
作者：
D. Eidus
本文讨论了数学物理中一些非平稳问题解的渐近性质。本文的主要目的是阐明在极限下非平稳振荡可以得到平稳振荡的条件。研究了作用于具有有限边界的无限域上的椭圆型自伴随二阶算子。我们还讨论了一些高阶算子，以及具有无穷边界的特殊类型定义域上的拉普拉斯算子。
The paper deals with the asymptotic behaviour (as ) of the solutions of some non-stationary problems in mathematical physics. The main aim of the paper is to clarify conditions under which stationary oscillations can be obtained from non-stationary ones in the limit . We study the case of an elliptic self-adjoint second order operator acting in an infinite domain with a finite boundary. We also discuss some higher order operators, as well as the Laplace operator in a domain of special type with an infinite boundary.