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Physical Mathematics and Nonlinear Partial Differential Equations, 2020
R. MacCamy
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R. MacCamy
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Degenerate Diffusion Processes
, 2020In this chapter, we show that the degenerate points may separate the state space into different regions for multiple classes, and we discuss the optimization of multi-class degenerate diffusion processes. We also show that under some conditions, the performance function of finite-horizon optimization problems, or the potential function of the long-run ...
Xi-Ren Cao
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Smoothing Effect of Degenerate Diffusion
Acta Applicandae Mathematicae, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giuseppe Maria Coclite, Lorenzo di Ruvo
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Optimal filtering for degenerate nonlinear diffusions
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003The optimal filtering problem for a nonlinear stochastic system with a non-elliptic diffusion term is studied. Under a more general geometric assumption involving the system reachability, (which includes the strong elliptic case), a Zakai-like equation is derived, and the existence and unicity of the solution is proved.
CARRAVETTA F. . +2 more
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Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions
Advanced Nonlinear Studies, 2019This paper deals with nonlinear elliptic problems where the diffusion coefficient is a degenerate non-local term. We show that this degeneration implies the growth of the complexity of the structure of the set of positive solutions of the equation ...
M. Delgado +3 more
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Multiplicity of solutions to a degenerate diffusion problem
Nonlinear Analysis: Theory, Methods & Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García-Melián, J., Sabina de Lis, J.
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Diffusion-weighted imaging in Wallerian degeneration
Journal of the Neurological Sciences, 2000We report two patients displaying hyperintensities on diffusion-weighted imaging (DWI) in the area of Wallerian degeneration (WD) at 12 days after stroke. High signal intensities were more conspicuous on DWI than on T2-weighted images. Both patients showed decreased diffusion anisotropy resulting in elevated apparent diffusion coefficient in the area ...
D W, Kang +5 more
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Diffuse Aneurysmal Degeneration of the Femoropopliteal Artery
Archives of Surgery, 1970Atherosclerotic aneurysm of the Lpopliteal artery is a well-recognized clinical entity, while aneurysm is uncommon in the femoral artery and rare in the superficial femoral artery. We have found only one report 1 of diffuse aneurysmal degeneration of the femoropopliteal artery, and for this reason the following case is being reported. Report of a Case
R E, Murray, H B, Barner, G E, Gantner
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Boundedness of Solutions to a Degenerate Diffusion Equation
2017The diffusion equation with a bounded saturation range under the time derivative and with Robin boundary conditions is shown to admit a regular bounded solution provided that the saturation function and the permeability coefficient have controlled decay at infinity.
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