Results 1 to 10 of about 11,149 (99)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Mathematical study on the thickened interface model by viscosity solution of the level-set equation
Journal of Thermal Science and Technology, 2022 The level-set approach extended for its viscosity solution is investigated to derive a relation to the conservation law of fluid phenomena and the phase-field approach based on the free energy theory.
Nobuyuki OSHIMA
doaj +1 more source
The Closed-Form Solution of an Extraction Model and Optimal Stopping Problems with Regime Switching
Mathematics, 2023 We aim to obtain by viscosity solution method the closed-form solution of a model concerning natural resource extraction in which a firm draws a schedule of when to stop the extraction.
Yong-Chao Zhang, Na Zhang, Qinglong Zhou
doaj +1 more source
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
doaj +1 more source
$C^{1,\gamma}$ regularity for fully nonlinear elliptic equations on a convex polyhedron
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this note, we prove the boundary and global $C^{1,\gamma}$ regularity for viscosity solutions of fully nonlinear uniformly elliptic equations on a convex polyhedron by perturbation and iteration techniques.
Duan Wu, Pengcheng Niu
doaj +1 more source