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Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach
- Source :
- SIAM Journal on Mathematical Analysis, SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2021, 53 (4), pp.4445-4473. ⟨10.1137/21M1397295⟩, SIAM Journal on Mathematical Analysis, 2021, 53 (4), pp.4445-4473. ⟨10.1137/21M1397295⟩
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
Abstract
- In this article we study two inverse problems of recovering a space-time-dependent source component from the lateral boundary observation in a subdiffusion model. The mathematical model involves a ...
- Subjects :
- Conditional stability
Applied Mathematics
Space time
Mathematical analysis
Perturbation (astronomy)
Boundary (topology)
010103 numerical & computational mathematics
Inverse problem
01 natural sciences
010101 applied mathematics
Computational Mathematics
Inverse source problem
Dependent source
Component (UML)
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
0101 mathematics
Analysis
ComputingMilieux_MISCELLANEOUS
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00361410
- Database :
- OpenAIRE
- Journal :
- SIAM Journal on Mathematical Analysis, SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2021, 53 (4), pp.4445-4473. ⟨10.1137/21M1397295⟩, SIAM Journal on Mathematical Analysis, 2021, 53 (4), pp.4445-4473. ⟨10.1137/21M1397295⟩
- Accession number :
- edsair.doi.dedup.....42cb1cd478e31089b7496024f3948871
- Full Text :
- https://doi.org/10.1137/21M1397295⟩