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Controlled measure-valued martingales: A viscosity solution approach [PDF]
The Annals of Applied Probability, 2021 We consider a class of stochastic control problems where the state process is a probability measure-valued process satisfying an additional martingale condition on its dynamics, called measure-valued martingales (MVMs).
A. Cox +3 more
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Modern Stochastics: Theory and Applications, 2022 Reflected generalized backward stochastic differential equations (BSDEs) with one discontinuous barrier are investigated when the noise is driven by a Brownian motion and an independent Poisson measure.
Mohammed Elhachemy, Mohamed El Otmani
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A New Fractional-order Derivative-based Nonlinear Anisotropic Diffusion Model for Biomedical Imaging
Chaos Theory and Applications, 2023 Medical imaging, the process of visual representation of different organs and tissues of the human body, is employed for monitoring the normal as well as abnormal anatomy and physiology of the body. Imaging which can provide healthcare solutions ensuring
Yeliz Karaca +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 The asymptotic behavior of the sequence $\{v_n\}$ of nonnegative solutions for a class of inhomogeneous problems settled in Orlicz–Sobolev spaces with prescribed Dirichlet data on the boundary of domain $\Omega$ is analysed.
Andrei Grecu, Denisa Stancu-Dumitru
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The maximum principle for viscosity solutions of elliptic differential functional equations [PDF]
Opuscula Mathematica, 2013 This paper is devoted to the study of the maximum principle for the elliptic equation with a deviated argument. We will consider viscosity solutions of this equation.
Adrian Karpowicz
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Parabolic Hessian Equations Outside a Cylinder
Mathematics, 2022 In this article, we mainly review the parabolic Hessian equation on the exterior region. The existence and uniqueness of solutions with asymptotic properties to the exterior problem of the parabolic Hessian equation were obtained by using the Perron ...
Limei Dai, Xuewen Guo
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Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution [PDF]
Mathematics of Computation, 2017 We propose a two-scale finite element method for the Monge-Amp\`ere equation with Dirichlet boundary condition in dimension $d\ge2$ and prove that it converges to the viscosity solution uniformly.
R. Nochetto +2 more
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Weighted and Well-Balanced Nonlinear TV-Based Time-Dependent Model for Image Denoising
Chaos Theory and Applications, 2023 The partial differential equation (PDE)-based models are widely used to remove additive Gaussian white noise and preserve edges, and one of the most widely used methods is the total variation denoising algorithm.
Khursheed Alam +2 more
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Uniqueness of the viscosity solution of a constrained Hamilton–Jacobi equation [PDF]
Calculus of Variations and Partial Differential Equations, 2018 In quantitative genetics, viscosity solutions of Hamilton–Jacobi equations appear naturally in the asymptotic limit of selection-mutation models when the population variance vanishes.
V. Calvez, King-Yeung Lam
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Effect of perforation shear on viscosity of polymer solution [PDF]
E3S Web of Conferences, 2023 Polymer flooding is a tertiary oil recovery technology that is very suitable for the characteristics of China’s reservoirs. However, due to the fast flow rate of polymer solution in near-well zone, the shear effect of perforation blasthole and the ...
Yan Xi +9 more
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