Results 321 to 330 of about 465,131 (341)

Fractional anisotropic Calderón problem on closed Riemannian manifolds

Journal of differential geometry, 2021
In this paper we solve the fractional anisotropic Calder\'on problem on closed Riemannian manifolds of dimensions two and higher. Specifically, we prove that the knowledge of the local source-to-solution map for the fractional Laplacian, given on an ...
A. Feizmohammadi   +3 more
semanticscholar   +1 more source

An extension of Calderón-Zygmund type singular integral

, 2021
In this paper, we consider a kind of singular integral which can be viewed as an extension of the classical Calderon-Zygmund type singular integral. We establish an estimate of the singular integral in the L q space for 1 q ∞ .
Huan Yu, Q. Jiu, Dongsheng Li
semanticscholar   +1 more source

Calderón-Zygmund estimates for generalized double phase problems

Journal of Functional Analysis, 2020
We prove Calderon-Zygmund type estimates for distributional solutions to non-uniformly elliptic equations of generalized double phase type in divergence form. In particular, we provide sharp conditions on the nonlinear operators to establish the Calderon-
Sumiya Baasandorj   +2 more
semanticscholar   +1 more source

Calderón-Zygmund estimates for elliptic double phase problems with variable exponents

, 2020
We study a nonlinear elliptic double phase problem with variable exponents to prove Calderon-Zygmund estimates under minimal regularity requirements on the nonlinearities.
Sun-Sig Byun, Ho-Sik Lee
semanticscholar   +1 more source

On statistical Calderón problems

, 2020
For D a bounded domain in R, d ≥ 2, with smooth boundary ∂D, the non-linear inverse problem of recovering the unknown conductivity γ determining solutions u = uγ,f of the partial differential equation ∇ ·(γ∇u) = 0 in D, u = f on ∂D, from noisy ...
Kweku Abraham, Richard Nickl
semanticscholar   +1 more source

On Single Measurement Stability for the Fractional Calderón Problem

SIAM Journal on Mathematical Analysis, 2020
In this short note we prove the logarithmic stability of the single measurement uniqueness result for the fractional Calder\'on problem which had been derived in \cite{GRSU18}.
Angkana Rüland
semanticscholar   +1 more source

The Calderón Problem for a Space-Time Fractional Parabolic Equation

SIAM Journal on Mathematical Analysis, 2019
In this article we study an inverse problem for the space-time fractional parabolic operator $(\partial_t-\Delta)^s+Q$ with ...
Ru-Yu Lai, Yi-Hsuan Lin, Angkana Rüland
semanticscholar   +1 more source

Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement

Inverse Problems, 2019
We are concerned with the Calderón problem of determining the unknown conductivity of a body from the associated boundary measurement. We establish a logarithmic type stability estimate in terms of the Hausdorff distance in determining the support of a ...
Hongyu Liu, Chun-Hsiang Tsou
semanticscholar   +1 more source

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