1,028 Result(s)
within
Jia **g
Mathematics
-
Article
On the Stability of Shear Flows in Bounded Channels, II: Non-monotonic Shear Flows
We give a proof of linear inviscid dam** and vorticity depletion for non-monotonic shear flows with one critical point in a bounded periodic channel. In particular, we obtain quantitative depletion rates for...
-
Article
On the Stability of Shear Flows in Bounded Channels, I: Monotonic Shear Flows
We discuss some of our recent work on the linear and nonlinear stability of shear flows as solutions of the 2D Euler equations in the bounded channel ...
-
Article
Open AccessSelf-adaptive alternating direction method of multiplier for a fourth order variational inequality
We propose an alternating direction method of multiplier for approximation solution of the unilateral obstacle problem with the biharmonic operator. We introduce an auxiliary unknown and augmented Lagrangian f...
-
Article
Barrier Option Pricing in Regime Switching Models with Rebates
This paper is concerned with the valuation of single and double barrier knock-out call options in a Markovian regime switching model with specific rebates. The integral formulas of the rebates are derived via ...
-
Article
Lipschitz constants for a hyperbolic type metric under Möbius transformations
Let D be a nonempty open set in a metric space (X, d) with ∂D ≠ Ø. Define $$h_{D,c}(x,y)=\log\left(1+c{{{d(x,y)}}\over{{\sqrt{d_{D}(x)d_{D}(y)...
-
Article
Infinitely Many Solutions for a Class of Quasi-linear Elliptic Problem
In this paper, we study the following quasi-linear elliptic equation
-
Article
Existence and Stability of Fuzzy Slightly Altruistic Equilibrium for a Class of Generalized Multiobjective Fuzzy Games
We mainly study the existence, structural stability and robustness of fuzzy slightly altruistic equilibria for a class of generalized multiobjective fuzzy games which are expressed as
-
Article
Spectral properties of Sturm–Liouville operators on infinite metric graphs
This paper mainly deals with the Sturm–Liouville operator $$\begin{aligned} \textbf{H}=\frac{1}{w(x)}\left( -\frac{\textrm{d}}{\textrm{d}x}p(x...
-
Article
A Computational Framework for the Administration of 5-Aminovulinic Acid Before Glioblastoma Surgery
5-Aminolevulinic Acid (5-ALA) is the only fluorophore approved by the FDA as an intraoperative optical imaging agent for fluorescence-guided surgery in patients with glioblastoma. The dosing regimen is based o...
-
Article
A Bregman-Style Improved ADMM and its Linearized Version in the Nonconvex Setting: Convergence and Rate Analyses
This work explores a family of two-block nonconvex optimization problems subject to linear constraints. We first introduce a simple but universal Bregman-style improved alternating direction method of multipli...
-
Article
A dynamical neural network approach for distributionally robust chance-constrained Markov decision process
In this paper, we study the distributionally robust joint chance-constrained Markov decision process. Utilizing the logarithmic transformation technique, we derive its deterministic reformulation with bi-conve...
-
Article
Anderson Acceleration of Gradient Methods with Energy for Optimization Problems
Anderson acceleration (AA) is an extrapolation technique designed to speed up fixed-point iterations. For optimization problems, we propose a novel algorithm by combining the AA with the energy adaptive gradie...
-
Article
The Role of Consumer Privacy Concerns in Sha** Platform Strategy for Online Markets
We investigate the effects of consumer privacy concerns on the pricing and personal data collection strategy of an online platform. The online platform derives revenues from disclosing consumer information to ...
-
Article
Maxwell-Schrödinger equations in singular electromagnetic field
We investigate the Cauchy problem of the one dimensional Maxwell-Schrödinger (MS) system under the Lorenz gauge condition. Different from the classical case, we consider the electromagnetic and electrostatic p...
-
Article
Biderivations of Hom-Lie Algebras and Superalgebras
On Hom-Lie algebras and superalgebras, we introduce the notions of biderivations and linear commuting maps, and compute them for some typical Hom-Lie algebras and superalgebras, including the q-deformed W(2,2) al...
-
Article
Optimal R &D Investment Problem with Regime-Switching
In this paper, we study the optimal research and development (R &D) investment problem under the framework of real options in a regime-switching environment. We assume that the firm has an R &D project whose i...
-
Article
RO(G)-Graded Homotopy Fixed Point Spectral Sequence for Height 2 Morava E-Theory
We consider \(G=Q_8,\textrm{SD}_{16},G_{24},\) G = ...
-
Article
Tensor Decomposition-assisted Multiview Subgroup Analysis
To learn the subgroup structure generated by multidimensional interaction, we propose a novel multiview subgroup integration technique based on tensor decomposition. Compared to the traditional subgroup analys...
-
Article
A novel numerical algorithm for solving linear systems with periodic pentadiagonal Toeplitz coefficient matrices
In the present paper, we mainly consider the direct solution of periodic pentadiagonal Toeplitz linear systems. By exploiting the low-rank and Toeplitz structure of the coefficient matrix, we derive a new matr...
-
Article
The Monoidal Hom–Hopf Algebra Arising From Partial Hom-Actions
In this paper, we mainly focus on how to use Hom-partial actions to construct a new monoidal Hom–Hopf algebra. For this, we first introduce the notions of partial Hom–Smash products and partial Hom–Smash copro...
