| Title | Convexification for the viscocity solution for a coefficient inverse problem for the radiative transfer equation |
| Author | |
| Corresponding Author | Klibanov, Michael, V |
| Publication Years | 2023-12-01
|
| DOI | |
| Source Title | |
| ISSN | 0266-5611
|
| EISSN | 1361-6420
|
| Volume | 39Issue:12 |
| Abstract | A coefficient inverse problem for the radiative transport equation is considered. The globally convergent numerical method, the so-called convexification, is developed. For the first time, the viscosity solution is considered for a boundary value problem for the resulting system of two coupled partial differential equations. A Lipschitz stability estimate is proved for this boundary value problem using a Carleman estimate for the Laplace operator. Next, the global convergence analysis is provided via that Carleman estimate. Results of numerical experiments demonstrate a high computational efficiency of this approach. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | Others
|
| WOS Research Area | Mathematics
; Physics
|
| WOS Subject | Mathematics, Applied
; Physics, Mathematical
|
| WOS Accession No | WOS:001084034400001
|
| Publisher | |
| ESI Research Field | PHYSICS
|
| Data Source | Web of Science
|
| Citation statistics | |
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/582903 |
| Department | Department of Mathematics |
| Affiliation | 1.Univ North Carolina Charlotte, Dept Math & Stat, Charlotte, NC 28223 USA 2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China 3.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen, Shenzhen 518055, Peoples R China 4.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China 5.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China |
| Recommended Citation GB/T 7714 |
Klibanov, Michael, V,Li, Jingzhi,Yang, Zhipeng. Convexification for the viscocity solution for a coefficient inverse problem for the radiative transfer equation[J]. INVERSE PROBLEMS,2023,39(12).
|
| APA |
Klibanov, Michael, V,Li, Jingzhi,&Yang, Zhipeng.(2023).Convexification for the viscocity solution for a coefficient inverse problem for the radiative transfer equation.INVERSE PROBLEMS,39(12).
|
| MLA |
Klibanov, Michael, V,et al."Convexification for the viscocity solution for a coefficient inverse problem for the radiative transfer equation".INVERSE PROBLEMS 39.12(2023).
|
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