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Fractional anisotropic Calderón problem on closed Riemannian manifolds
Journal of differential geometry, 2021In 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
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An extension of Calderón-Zygmund type singular integral
, 2021In 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
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Calderón-Zygmund estimates for generalized double phase problems
Journal of Functional Analysis, 2020We 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
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Calderón-Zygmund estimates for elliptic double phase problems with variable exponents
, 2020We 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
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On statistical Calderón problems
, 2020For 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
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On Single Measurement Stability for the Fractional Calderón Problem
SIAM Journal on Mathematical Analysis, 2020In 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
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The Calderón Problem for a Space-Time Fractional Parabolic Equation
SIAM Journal on Mathematical Analysis, 2019In 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
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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
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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

