{"title":"Multiplicative Control Problems for the Diffusion–Drift Charging Model of an Inhomogeneous Polar Dielectric","authors":"R. V. Brizitskii, N. N. Maksimova","doi":"10.1134/s0012266124050069","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study a two-parameter multiplicative control problem for a model of electron-induced\ncharging of an inhomogeneous polar dielectric. Sharp local stability estimates for its optimal\nsolutions with respect to small perturbations of both the cost functionals and the given function of\nthe boundary value problem are derived. For one of the controls, the relay property or the\nbang–bang principle is established.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266124050069","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study a two-parameter multiplicative control problem for a model of electron-induced
charging of an inhomogeneous polar dielectric. Sharp local stability estimates for its optimal
solutions with respect to small perturbations of both the cost functionals and the given function of
the boundary value problem are derived. For one of the controls, the relay property or the
bang–bang principle is established.
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