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.

引用

页码：117 / 127

页数：10

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