Results 1 to 10 of about 465,131 (341)
Electrical Impedance Tomography with Deep Calderón Method [PDF]
Journal of Computational Physics, 2023 Electrical impedance tomography (EIT) is a noninvasive medical imaging modality utilizing the current-density/voltage data measured on the surface of the subject.
Siyu Cen +3 more
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Calderón–Zygmund Estimates for the Fractional p-Laplacian [PDF]
Annals of PDE, 2023 We prove fine higher regularity results of Calderón-Zygmund-type for equations involving nonlocal operators modelled on the fractional p-Laplacian with possibly discontinuous coefficients of VMO-type.
L. Diening, Simon Nowak
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Fractional Calderón problems and Poincaré inequalities on unbounded domains [PDF]
Journal of Spectral Theory, 2022 We generalize many recent uniqueness results on the fractional Calder\'on problem to cover the cases of all domains with nonempty exterior. The highlight of our work is the characterization of uniqueness and nonuniqueness of partial data inverse problems
J. Railo, Philipp Zimmermann
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The Calderón problem for the fractional Dirac operator [PDF]
Mathematical Research Letters, 2022 We show that knowledge of the source-to-solution map for the fractional Dirac operator acting over sections of a Hermitian vector bundle over a smooth closed connencted Riemannian manifold of dimension $m\geq 2$ determines uniquely the smooth structure ...
Hadrian Quan, G. Uhlmann
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The Calderón inverse problem for isotropic quasilinear conductivities [PDF]
, 2021 We prove a global uniqueness result for the Calderon inverse problem for a general quasilinear isotropic conductivity equation on a bounded open set with smooth boundary in dimension n ≥ 3 .
C. Carstea +4 more
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The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability [PDF]
SIAM Journal on Mathematical Analysis, 2021 We study an inverse problem for the fractional wave equation with a potential by the measurement taking on arbitrary subsets of the exterior in the space-time domain.
Pu-Zhao Kow, Yi-Hsuan Lin, Jenn-Nan Wang
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Advances in Nonlinear Analysis, 2023 In this article, we show continuity of commutators of Calderón-Zygmund operators [ b , T ] \left[b,T] with BMO functions in generalized Orlicz-Morrey spaces M Φ , φ ( R n ) {M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}) .
V. Guliyev, M. N. Omarova, M. Ragusa
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Spectral multipliers in group algebras and noncommutative Calderón-Zygmund theory [PDF]
Journal des Mathématiques Pures et Appliquées, 2021 In this paper we solve three problems in noncommutative harmonic analysis which are related to endpoint inequalities for singular integrals. In first place, we prove that an $L_2$-form of H\"ormander's kernel condition suffices for the weak type (1,1) of
Léonard Cadilhac +2 more
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Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
Journal of Function Spaces, 2022 In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces
Hammad Nafis, H. Rafeiro, M. A. Zaighum
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AIMS Mathematics, 2022 In this paper, we discuss the boundedness of bilinear $ \theta $-type Calderón-Zygmund operators on the generalized variable exponent Morrey spaces. In addition, the corresponding results of commutators generated by bilinear $ \theta $-type Calderón ...
Bochi Xu
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