Results 61 to 70 of about 61,934 (233)

Well-posedness of stochastic modified Kawahara equation

open access: yesAdvances in Difference Equations, 2020
In this paper we consider the Cauchy problem for the stochastic modified Kawahara equation, which is a fifth-order shallow water wave equation. We prove local well-posedness for data in Hs(R) $H^{s}(\mathbb{R})$, s≥−1/4 $s\geq -1/4$. Moreover, we get the
P. Agarwal, Abd-Allah Hyder, M. Zakarya
doaj   +1 more source

Well-posedness of boundary control systems [PDF]

open access: yes2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2003
The authors study the continuity of the input/output map for boundary control systems through the system transfer function transporting the continuity to uniform boundedness of the solution to a related elliptic boundary value problem. The approach is used to obtain well-posedness of several large classes of boundary control systems.
Cheng, Ada, Morris, Kirsten
openaire   +3 more sources

Macroscopic Market Making Games

open access: yesMathematical Finance, EarlyView.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces

open access: yesJournal of Applied Mathematics, 2012
We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi (1995, 1996) for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the ...
Lu-Chuan Ceng, Ching-Feng Wen
doaj   +1 more source

Vortex filament solutions of the Navier-Stokes equations

open access: yes, 2020
We consider solutions of the Navier-Stokes equations in $3d$ with vortex filament initial data of arbitrary circulation, that is, initial vorticity given by a divergence-free vector-valued measure of arbitrary mass supported on a smooth curve.
Bedrossian, Jacob   +2 more
core  

Adaptive blind image deblurring and denoising

open access: yesScandinavian Journal of Statistics, EarlyView.
Abstract Blind image deblurring aims to reconstruct the original image from its blurred version without knowing the blurring mechanism. This is a challenging ill‐posed problem because there are infinitely many possible solutions. The ill‐posedness is further exacerbated if the blurring mechanism depends on the pixel location.
Yicheng Kang   +2 more
wiley   +1 more source

Remark on well-posedness and ill-posedness for the KdV equation

open access: yesElectronic Journal of Differential Equations, 2010
We consider the Cauchy problem for the KdV equation with low regularity initial data given in the space $H^{s,a}(mathbb{R})$, which is defined by the norm $$ | varphi |_{H^{s,a}}=| langle xi angle^{s-a} |xi|^a widehat{varphi} |_{L_{xi}^2}.
Takamori Kato
doaj  

Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems

open access: yesJournal of Applied Mathematics, 2015
We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness.
Wei-bing Zhang   +2 more
doaj   +1 more source

Diffusion model‐regularized implicit neural representation for computed tomography metal artifact reduction

open access: yesQuantitative Biology, Volume 14, Issue 2, June 2026.
Abstract Computed tomography (CT) images are often severely corrupted by artifacts in the presence of metals. Existing supervised metal artifact reduction (MAR) approaches suffer from performance instability on known data due to their reliance on limited paired metal‐clean data, which limits their clinical applicability. Moreover, existing unsupervised
Jie Wen   +3 more
wiley   +1 more source

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