| 来源类型 | Book Section |
| DOI | 10.1007/BFb0044486 |
| On inverse problems for evolutionary systems: Guaranteed estimates and regularized solutions. | |
| Kurzhanski AB; Sivergina IF | |
| 发表日期 | 1991 |
| 出处 | Modelling and Inverse Problems of Control for Distributed Parameter Systems. pp. 93-101 Germany: Springer Berlin/Heidelberg. ISBN 978-3-540-46839-4 DOI: 10.1007/BFb0044486 . |
| 出版年 | 1991 |
| 语种 | 英语 |
| 摘要 | This paper deals with the selection of an initial distribution in the first boundary-value problem for the heat equation in a given domain [0,θ]×Ωθ<∞ with zero values on its boundary S so that the deviation of the respective solution from a given distribution would not exceed a preassigned value γ>0. The result is formulated here in terms of the “theory of guaranteed estimation” for noninvertible evolutionary systems. It also allows an interpretation in terms of regularization methods for ill-posed inverse problems and in particular, in terms of the quasiinvertibility techniques of J.-L. Lions and R. Lattes. |
| 主题 | System and Decision Sciences - Core (SDS) |
| URL | http://pure.iiasa.ac.at/id/eprint/13079/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/133257 |
| 推荐引用方式 GB/T 7714 | Kurzhanski AB,Sivergina IF. On inverse problems for evolutionary systems: Guaranteed estimates and regularized solutions.. 1991. |
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