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Correlation imaging in inverse scattering is tomography on probability distributions 

Caro, P.; Helin, T.; Kujanpää, A.; Lassas, M. (2018-12-04)
Scattering from a non-smooth random field on the time domain is studied for plane waves that propagate simultaneously through the potential in variable angles. We first derive sufficient conditions for stochastic moments ...
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Regularity of maximal functions on Hardy–Sobolev spaces 

Pérez, C.Autoridad BCAM; Picón, T.; Saari, Olli; Sousa, Mateus (2018-12-01)
We prove that maximal operators of convolution type associated to smooth kernels are bounded in the homogeneous Hardy–Sobolev spaces H1,p(Rd) when p > d/(d + 1). This range of exponents is sharp. As a by-product of the ...
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Determination of convection terms and quasi-linearities appearing in diffusion equations 

Caro, P.; Kian, Y. (2018-12)
We consider the highly nonlinear and ill posed inverse problem of determining some general expression appearing in the a diffusion equation from measurements of solutions on the lateral boundary. We consider both linear ...
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Unique determination of the electric potential in the presence of a fixed magnetic potential in the plane 

Caro, P.; Rogers, K. (2018-12)
For electric and magnetic potentials with compact support, we consider the magnetic Schrödinger equation with fixed positive energy. Under a mild additional regularity hypothesis, and with fixed magnetic potential, we show ...
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Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations 

Scrobogna, S. (2018-10)
We prove that there exist infinitely many distributional solutions with infinite kinetic energy to both the incompressible Navier-Stokes equations in $ \mathbb{R}^2 $ and Burgers equation in $\mathbb{R} $ with vanishing ...
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Vector-valued operators, optimal weighted estimates and the $C_p$ condition 

Cejas, M.E.; Li, K.; Pérez, C.Autoridad BCAM; Rivera-Ríos, I.P. (2018-09)
In this paper some new results concerning the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, are provided. In particular we extend the result to the full range expected $p>0$, to the weak norm, to ...
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Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates 

Li, K.; Ombrosi, S.; Pérez, C.Autoridad BCAM (2018-09)
We show that if $v\in A_\infty$ and $u\in A_1$, then there is a constant $c$ depending on the $A_1$ constant of $u$ and the $A_{\infty}$ constant of $v$ such that $$\Big\|\frac{ T(fv)} {v}\Big\|_{L^{1,\infty}(uv)}\le c\, ...
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On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids 

Scrobogna, S. (2018-09)
We study a class of 2D solutions of a Bloch-Torrey regularization of the Rosensweig system in the whole space, which arise when the initial data and the external magnetic field are 2D. We prove that such solutions are ...
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Uniqueness of degree-one Ginzburg–Landau vortex in the unit ball in dimensions N ≥ 7 

Ignat, R.; Nguyen, L.; Slastikov, V.; Zarnescu, A.Autoridad BCAM (2018-09-01)
For ε>0, we consider the Ginzburg-Landau functional for RN-valued maps defined in the unit ball BN⊂RN with the vortex boundary data x on ∂BN. In dimensions N≥7, we prove that for every ε>0, there exists a unique global ...
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Weighted norm inequalities for rough singular integral operators 

Li, K.; Pérez, C.Autoridad BCAM; Rivera-Ríos, I.P.; Roncal, L.Autoridad BCAM (2018-08-17)
In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $T_\Omega$ with $\Omega\in L^\infty(\mathbb{S}^{n-1})$ and the Bochner--Riesz multiplier at the critical index ...
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AuthorVega, L. (9)Roncal, L. (6)Ciaurri Ó. (4)Fanelli, L. (4)Krejčiřík, D. (4)Li, K. (4)Pérez, C. (4)Rivera-Ríos, I. (4)Beltran, D. (3)Caro, P. (3)... másSubjectNonlinear dispersive equation (2)Propagation of regularity (2)$A_1$ and $A_{\infty}$ weights (1)$A_p$ weights (1)$C_p$ estimates (1)$T1$ theorems (1)42B25 (1)42B30 (1)42B35 (1)46E35 (primary) (1)... másFecha
2018 (39)

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