Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Matteo Santacesaria"'
Publikováno v:
Mathematics in Engineering, Vol 4, Iss 4, Pp 1-22 (2022)
We consider the problem of the detection of brain hemorrhages from three-dimensional (3D) electrical impedance tomography (EIT) measurements. This is a condition requiring urgent treatment for which EIT might provide a portable and quick diagnosis. W
Externí odkaz:
https://doaj.org/article/802e2c68f95a4856ae374dfb73c7315d
Publikováno v:
Forum of Mathematics, Sigma, Vol 7 (2019)
We prove that an $L^{\infty }$ potential in the Schrödinger equation in three and higher dimensions can be uniquely determined from a finite number of boundary measurements, provided it belongs to a known finite dimensional subspace ${\mathcal{W}}$.
Externí odkaz:
https://doaj.org/article/be155b7c4f2b46c6aa70bb1b877ece41
Publikováno v:
Nonlinearity. 36:734-808
We consider abstract inverse problems between infinite-dimensional Banach spaces. These inverse problems are typically nonlinear and ill-posed, making the inversion with limited and noisy measurements a delicate process. In this work, we assume that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0422418dd6487074531463db86c892bb
https://doi.org/10.1088/1361-6544/aca73d
https://doi.org/10.1088/1361-6544/aca73d
Publikováno v:
Applied and Computational Harmonic Analysis. 50:105-146
We consider a compressed sensing problem in which both the measurement and the sparsifying systems are assumed to be frames (not necessarily tight) of the underlying Hilbert space of signals, which may be finite or infinite dimensional. The main resu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cddfdd9e53296fb9664e26a5535e6497
https://doi.org/10.1016/j.acha.2019.08.002
https://doi.org/10.1016/j.acha.2019.08.002
Publikováno v:
Applicable Analysis. 101:3636-3654
We prove a local Lipschitz stability estimate for Gel'fand-Calder\'on's inverse problem for the Schr\"odinger equation. The main novelty is that only a finite number of boundary input data is available, and those are independent of the unknown potent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61637d4f0b9d4a703c325edb44976f9c
https://doi.org/10.1080/00036811.2020.1745192
https://doi.org/10.1080/00036811.2020.1745192
Publikováno v:
Scopus-Elsevier
Publisher Copyright: © 2021 Neural information processing systems foundation. All rights reserved. In this work, we consider the linear inverse problem y = Ax+ε, where A: X → Y is a known linear operator between the separable Hilbert spaces X and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac62c990f7fd40c25fc4a19489d721b4
http://arxiv.org/abs/2106.06513
http://arxiv.org/abs/2106.06513
This paper proposes a spatial model with a realistic geography where a continuous distribution of agents (e.g., farmers) engages in economic interactions with one location from a finite set (e.g., cities). The spatial structure of the equilibrium con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f89459c86f1c5c9f0ca0d05e81e68658
This book constitutes the proceedings of the 9th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2023, which took place in Santa Margherita di Pula, Italy, in May 2023. The 57 papers presented in this volume
We consider the problem of the recovery of a Robin coefficient on a part $\gamma \subset \partial \Omega$ of the boundary of a bounded domain $\Omega$ from the principal eigenvalue and the boundary values of the normal derivative of the principal eig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e21230973fdf410ab7dadaf0d9f73cc
http://hdl.handle.net/11567/1017723
http://hdl.handle.net/11567/1017723
We present a general framework to study uniqueness, stability and reconstruction for infinite-dimensional inverse problems when only a finite-dimensional approximation of the measurements is available. For a large class of inverse problems satisfying
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6cc17ce1421ffe70bcb7c2245d955eb
http://arxiv.org/abs/1906.10028
http://arxiv.org/abs/1906.10028