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A Novel Scheme for Quantitative Electromagnetic Inversion of Non-Cooperative Translational Targets Under Limited-Aperture Scenarios [PDF]
SensorsTo achieve accurate localization and tackle the inevitable dual challenges of ill-posedness and strong nonlinearity in limited-aperture translational target inversion, this paper proposes a novel integrated scheme that synergistically combines a domain ...
Yitao Lin +4 more
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A Note on C^2 Ill-posedness Results for the Zakharov System in Arbitrary Dimension
Trends in Computational and Applied Mathematics, 2023 This work is concerned with the Cauchy problem for a Zakharov system with initial data in Sobolev spaces H^k(\R^d)×H^l(\R^d)×H^l−1(\R^d).We recall the well-posedness and ill-posedness results known to date and establish new ill-posedness results.We ...
L. Domingues, R. Santos
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A nonlinear fractional Rayleigh–Stokes equation under nonlocal integral conditions
Advances in Difference Equations, 2021 In this paper, we study the fractional nonlinear Rayleigh–Stokes equation under nonlocal integral conditions, and the existence and uniqueness of the mild solution to our problem are considered.
Nguyen Hoang Luc +3 more
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EURASIP Journal on Advances in Signal Processing, 2020 In this paper, the ill-posedness of derivative interpolation is discussed, and a regularized derivative interpolation for band-limited signals is presented. The ill-posedness is analyzed by the Shannon sampling theorem. The convergence of the regularized
Weidong Chen
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Joint state-parameter estimation of a nonlinear stochastic energy balance model from sparse noisy data [PDF]
Nonlinear Processes in Geophysics, 2019 While nonlinear stochastic partial differential equations arise naturally in spatiotemporal modeling, inference for such systems often faces two major challenges: sparse noisy data and ill-posedness of the inverse problem of parameter estimation.
F. Lu +3 more
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Molecules, 2021 This paper shows that using the Padé–Laplace (PL) method for deconvolution of multi-exponential functions (stress relaxation of polymers) can produce ill-conditioned systems of equations.
Siamak Shams Es-haghi +1 more
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Applied Mathematics in Science and Engineering, 2023 A hybrid method which is suitable to find numerical solutions for two-dimensional inverse scattering problems connected with cylindrical bodies buried in a half-space with the known orientation is established.
T. Oğuz Topbaş, Ali Alkumru
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Radar Forward-Looking Super-Resolution Imaging Using a Two-Step Regularization Strategy
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023 Regularization methods, including single constraint regularization and joint constraints regularization, have been applied to radar forward-looking super-resolution imaging.
Xingyu Tuo +5 more
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Nuclear Engineering and Technology, 2022 The two-fluid model is widely used to describe two-phase flows in complex systems such as nuclear reactors. Although the two-phase flow was successfully simulated, the standard two-fluid model suffers from an ill-posed nature.
Byoung Jae Kim +2 more
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On a Backward Problem for the Rayleigh–Stokes Equation with a Fractional Derivative
Axioms, 2023 The Rayleigh–Stokes equation with a fractional derivative is widely used in many fields. In this paper, we consider the inverse initial value problem of the Rayleigh–Stokes equation.
Songshu Liu, Tao Liu, Qiang Ma
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