Using sparse control methods to identify sources in linear diffusion-convection equations

被引：9

作者：

Casas, E. ^{[1
]}

Kunisch, K. ^{[2
,3
]}

机构：

[1] Univ Cantabria, Dept Matemat Aplicada & Ciencias Comp, ETSI Ind & Telecomunicac, Santander 39005, Spain

[2] Karl Franzens Univ Graz, Inst Math & Sci Comp, Heinrichstr 36, A-8010 Graz, Austria

[3] Austrian Acad Sci, Radon Inst, A-4040 Linz, Austria

来源：

INVERSE PROBLEMS | 2019年 / 35卷 / 11期

基金：

欧盟地平线“2020”;

关键词：

measure controls; sparsity; parabolic equations; source identification; PARABOLIC CONTROL-PROBLEMS; ELLIPTIC CONTROL-PROBLEMS; MEASURE-SPACES; IDENTIFICATION;

D O I：

10.1088/1361-6420/ab331c

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Techniques from sparse control theory are proposed to approximate initial conditions for diffusion-convection equations. Existence and uniqueness of optimal controls are proven, and necessary and sufficient optimality conditions are derived. From these conditions the sparsity structure of the solutions is derived, which relates to identification of the sources to be reconstructed.

引用

页数：17

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