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Magnetic tomography is an ill-posed and ill-conditioned inverse
problem since, in general, the solution is non-unique and the measured
magnetic field is affected by high noise. We use a joint sparsity constraint to regularize the magnetic inverse problem. This leads to a minimization problem whose… |
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In this paper we establish an higher integrability result for second derivatives of the local solution of elliptic equation div(A(x,Du))=0in?where ? ? R, n>= 2 and A(x, ?) has linear growth with respect to ? variable. Concerning the dependence on the x-variable, we shall assume that, for the map… |
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The likelihood of a subglacial lake beneath Amundsenisen Plateau at Southern Spitzbergen, Svalbard, pointed out by the flat signal within the Ground Penetrating Radar (GPR) remote survey of the area, is justified, here, via numerical simulation.This investigation has been developed under the… |
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In this study we classify short echo-time brain magnetic resonance spectroscopic imaging (MRSI) data by applying a model-based canonical correlation analyses algorithm and by using, as prior knowledge, multimodal sources of information coming from high-resolution magic angle spinning (HR-MAS), MRSI… |
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Spectral residual methods are derivative-free and low-cost per iteration procedures for solving nonlinear systems of equations. They are generally coupled with a nonmonotone linesearch strategy and compare well with Newton-based methods for large nonlinear systems and sequences of nonlinear systems… |
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In this paper, to complete the global dynamics of a multi-strains SIS epidemic model, we establish a precise result on coexistence for the cases of the partial and complete duplicated multiple largest reproduction ratios for this model. |
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Accurate quantitation of Magnetic Resonance Spectroscopy (MRS) signals is an essential step before converting the estimated
signal parameters, such as frequencies, damping factors, and amplitudes, into biochemical quantities (concentration, pH). Several
subspace-based parameter estimators have been… |
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We prove that positive solutions of the fractional Lane-Emden equation with homogeneous Dirichlet boundary conditions satisfy pointwise estimates in terms of the best constant in Poincaré's inequality on all open sets, and are isolated in $L^1$ on smooth bounded ones, whence we deduce the isolation… |
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The mapping properties of the Cauchy singular integral operator with
constant coefficients are studied in couples of spaces equipped with
weighted uniform norms. Recently weighted Besov type spaces got more and
more interest in approximation theory and, in particular, in the numerical
analysis… |
