Results 11 to 20 of about 465,131 (341)

The higher order fractional Calderón problem for linear local operators: Uniqueness [PDF]

open access: yesAdvances in Mathematics, 2020
We study an inverse problem for the fractional Schrodinger equation (FSE) with a local perturbation by a linear partial differential operator (PDO) of order smaller than the order of the fractional Laplacian.
Giovanni Covi   +3 more
semanticscholar   +1 more source

On complementable operators in the sense of T. Ando [PDF]

open access: yes, 2020
Consider an operator A :H→K between Hilbert spaces and closed subspaces S ⊂ H and T ⊂ K. If there exist projections E on H and F on K such that R(E) =S, R(F) =T and AE=F∗A then A is called (S, T)-complementable.
Arias, Maria Laura   +2 more
core   +1 more source

Deconstructing and Re-constructing the Fictional Universe: On Two Opposite Examples of Contemporary Metadrama [PDF]

open access: yesAmfiteater, 2022
The paper discusses how the metadramatic modalities of simultaneous deconstruction and reconstruction of the fictional universe figure in two contemporary plays: Pascal Rambert’s The closure of love (2011) and Tim Crouch’s The Author (2009).
Lada Čale Feldman
doaj   +1 more source

Uniqueness and reconstruction for the fractional Calderón problem with a single measurement [PDF]

open access: yesJournal of Functional Analysis, 2018
We show global uniqueness in the fractional Calderon problem with a single measurement and with data on arbitrary, possibly disjoint subsets of the exterior. The previous work [10] considered the case of infinitely many measurements.
T. Ghosh   +3 more
semanticscholar   +1 more source

Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel [PDF]

open access: yesAdvances in Mathematics, 2020
We study interior $L^p$-regularity theory, also known as Calderon-Zygmund theory, of the equation \[ \int_{\mathbb{R}^n} \int_{\mathbb{R}^n} \frac{K(x,y)\ (u(x)-u(y))\, (\varphi(x)-\varphi(y))}{|x-y|^{n+2s}}\, dx\, dy = \langle f, \varphi \rangle \quad \
T. Mengesha   +2 more
semanticscholar   +1 more source

A Fuzzy PID-Controlled Iterative Calderon’s Method for Binary Distribution in Electrical Capacitance Tomography

open access: yesIEEE Transactions on Instrumentation and Measurement, 2021
Electrical capacitance tomography (ECT) utilizes measured mutual capacitances across a region of interest to visualize distributions inside. As typical two-phase flows can be roughly treated as binary-valued material distributions, in this article, a ...
Yu Tian   +5 more
semanticscholar   +1 more source

The fractional Calderón problem: Low regularity and stability [PDF]

open access: yesNonlinear Analysis, 2017
The Calderon problem for the fractional Schrodinger equation was introduced in the work Ghosh et al. (to appear) which gave a global uniqueness result also in the partial data case. This article improves this result in two ways.
Angkana Rüland, M. Salo
semanticscholar   +1 more source

Oblique projections and frames [PDF]

open access: yes, 2006
We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K of H.
Antezana, Jorge Abel   +3 more
core   +2 more sources

Lorentzian Calderón problem under curvature bounds [PDF]

open access: yesInventiones Mathematicae, 2020
We introduce a method of solving inverse boundary value problems for wave equations on Lorentzian manifolds, and show that zeroth order coefficients can be recovered under certain curvature bounds.
S. Alexakis   +2 more
semanticscholar   +1 more source

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