Multiplicative control in the scattering problem for the Helmholtz equation

被引：0
|
作者：
Savenkova A.S. [1 ]
机构：
[1] Institute of Applied Mathematics, Vladivostok 690041
来源：
Journal of Applied and Industrial Mathematics | 2009年 / 3卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Weak Solution; Variational Inequality; Industrial Mathematic; Optimal Control Problem; Acoustic Pressure;
D O I：
10.1134/S199047890901013X
中图分类号：
学科分类号：
摘要：
Under consideration is the problem of optimal multiplicative control for the Helmholtz equation. Scattering of the harmonic waves by a certain obstacle with impedance boundary is studied. We look for the value of impedance such that the distribution of the acoustic pressure on a certain sphere is maximally close to a given one. The main result consists in the description of the structure of the solution set, substantiation of the system of optimality, and derivation of the bang-bang principle for the optimal control. © Pleiades Publishing, Ltd. 2009.
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页码：117 / 127
页数：10
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