Results 221 to 230 of about 11,024 (266)

Smoothing Effect of Degenerate Diffusion

Acta Applicandae Mathematicae, 2020
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Giuseppe Maria Coclite, Lorenzo di Ruvo
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An extension of the linear regulator for degenerate diffusions

IEEE Transactions on Automatic Control, 2005
We study an extended stochastic control problem of the linear regulator for degenerate diffusions. We establish the existence of a classical solution of the degenerate Bellman equation by the technique of viscosity solutions, and the optimal policy is shown to exist from the optimality conditions.
Md. Azizul Baten, Hiroaki Morimoto
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Diffuse Aneurysmal Degeneration of the Femoropopliteal Artery

Archives of Surgery, 1970
Atherosclerotic 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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Multiplicity of solutions to a degenerate diffusion problem

Nonlinear Analysis: Theory, Methods & Applications, 2003
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García-Melián, J., Sabina de Lis, J.
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Optimal filtering for degenerate nonlinear diffusions

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003
The 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. ., GERMANI, Alfredo, MANES, COSTANZO   +2 more
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Degenerate Diffusion Processes

2020
In 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 ...
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Diffusion-weighted imaging in Wallerian degeneration

Journal of the Neurological Sciences, 2000
We 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, K, Chu, B W, Yoon, I C, Song, K H, Chang, J K, Roh   +5 more
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Degenerate Variance Control of a One-Dimensional Diffusion

SIAM Journal on Control and Optimization, 2000
Given a one-dimensional Brownian motion \(W\), the authors consider the variance controlled diffusion \(dX^u_t=b(X^u_t) dt+u_tdW_t\), \(t\geq 0\), \(X^u_0=x\), endowed with the cost function \(J(x,u)=E[\int^{+\infty}_0 \exp(-\alpha t) \{c(X_t^u)+ \lambda u^2_t\}dt]\), \((\lambda,\alpha >0)\).
Daniel Ocone, Ananda P. Weerasinghe
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Boundedness of Solutions to a Degenerate Diffusion Equation

2017
The 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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