On some geometric inverse problems for nonscalar elliptic systems
Copyright policy )On some geometric inverse problems for nonscalar elliptic systems
In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability results. In particular, we show the way that the observation depends on the perturbations of the domain. In some particular situations, this provides a strategy that could be used to compute approximations to the solution of the inverse problem. In the proofs, we use techniques related to (local) Carleman estimates and differentiation with respect to the domain.
17 pages
- Universidad de Sevilla (US) Spain
- University of Seville Spain
- UNIVERSIDADE DE SAO PAULO Brazil
- Federal University of Pernambuco Brazil
Inverse problems, Inverse problems for PDEs, geometric inverse problems, linear elliptic systems, Nonscalar elliptic systems, Mathematics - Analysis of PDEs, Second-order elliptic systems, FOS: Mathematics, Reconstruction, perturbations of the domain, Unique continuation, Domain variation techniques, Analysis of PDEs (math.AP)
Inverse problems, Inverse problems for PDEs, geometric inverse problems, linear elliptic systems, Nonscalar elliptic systems, Mathematics - Analysis of PDEs, Second-order elliptic systems, FOS: Mathematics, Reconstruction, perturbations of the domain, Unique continuation, Domain variation techniques, Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!