发布求助
文献互助 智能选刊 最新文献

Applied Mathematics and Optimization最新文献

筛选
英文 中文
Invariant Sample Measures for Non-autonomous Stochastic Non-local Discrete p-Laplacian Equations with Time Varying Delay and Multiplicative Noises 具有时变延迟和乘法噪声的非自治随机非局部离散 p-Laplacian 方程的不变抽样量纲
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-04-05 DOI: 10.1007/s00245-025-10254-6
Wenqiang Zhao, Xia Liu
{"title":"Invariant Sample Measures for Non-autonomous Stochastic Non-local Discrete p-Laplacian Equations with Time Varying Delay and Multiplicative Noises","authors":"Wenqiang Zhao,&nbsp;Xia Liu","doi":"10.1007/s00245-025-10254-6","DOIUrl":"10.1007/s00245-025-10254-6","url":null,"abstract":"<div><p>In this article, a class of <i>non-local</i> stochastic lattice models with fractional powers of the discrete <i>p</i>-Laplacian, incorporating time-varying-distributed delay as well as multiplicative noises at each node, are propounded. First, by utilizing an existence theorem of solutions for infinite ordinary differential equations, we prove the well-posedness of the stochastic equations, whose solution operator admits an NRDS. Besides, the tempered random attractor is constructed for this NRDS. Finally, with the identical conditions, we prove that the solution is jointly continuous in initial time and initial data, and eventually, a family of invariant sample Borel probability measures supported in the random attractors are established in a Banach space (not a Hilbert space) for the corresponding NRDS.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143778001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of Subdifferentials of Marginal and Performance Functions
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-04-02 DOI: 10.1007/s00245-025-10251-9
Duong Thi Viet An, Jean-Paul Penot
{"title":"Analysis of Subdifferentials of Marginal and Performance Functions","authors":"Duong Thi Viet An,&nbsp;Jean-Paul Penot","doi":"10.1007/s00245-025-10251-9","DOIUrl":"10.1007/s00245-025-10251-9","url":null,"abstract":"<div><p>We study generalized derivatives of value functions for optimization problems depending on a parameter <i>w</i>. Interpretations of the results obtained with these substitutes to derivatives are known to be important. We endeavour to answer the question: can one obtain these results without knowing the nature of these substitutes and their constructions? Is there a means to obtain them in a unified way?</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History 论具有过去历史的耦合非线性桥梁系统的拟合优度和长时动力学
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-04-02 DOI: 10.1007/s00245-025-10252-8
Soh Edwin Mukiawa, Salim A. Messaoudi
{"title":"On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History","authors":"Soh Edwin Mukiawa,&nbsp;Salim A. Messaoudi","doi":"10.1007/s00245-025-10252-8","DOIUrl":"10.1007/s00245-025-10252-8","url":null,"abstract":"<div><p>This work is concerned with a coupled nonlinear mathematical model for a suspension bridge with past history. The vibrations of both the road bed in the vertical plain and main cable from which the road bed is suspended by the tie cables are taken into consideration. Using the semi-group approach, we give a thorough and careful existence and uniqueness result. Also, we prove that the associated solution semi-group has a compact global attractor in an appropriate Hilbert space.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Well-Posedness of 3D MHD Equations with Damping on Time-Varying Domains 时变域上具有阻尼的三维多流体力学方程的良好拟合
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-04-02 DOI: 10.1007/s00245-025-10253-7
Xiaoya Song
{"title":"Well-Posedness of 3D MHD Equations with Damping on Time-Varying Domains","authors":"Xiaoya Song","doi":"10.1007/s00245-025-10253-7","DOIUrl":"10.1007/s00245-025-10253-7","url":null,"abstract":"<div><p>In the present paper, we consider the well-posedness of 3D MHD equations with the damping terms <span>(|u|^{alpha -1}u)</span> and <span>(|B|^{beta -1}B)</span> (<span>(alpha ,beta ge 1)</span>) defined on time-varying domains with homogeneous Dirichlet boundary conditions. We show that the damped 3D MHD system has global weak solutions for any <span>(1le alpha ,beta le 5)</span> and the weak solution is unique for any <span>(4le alpha ,beta le 5)</span>.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization 通过数值形状优化改进对布拉什克-桑塔洛图的描述
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-04-02 DOI: 10.1007/s00245-025-10250-w
Ilias Ftouhi
{"title":"Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization","authors":"Ilias Ftouhi","doi":"10.1007/s00245-025-10250-w","DOIUrl":"10.1007/s00245-025-10250-w","url":null,"abstract":"<div><p>We propose a method based on the combination of theoretical results on Blaschke–Santaló diagrams and numerical shape optimization techniques to obtain improved description of Blaschke–Santaló diagrams in the class of planar convex sets. To illustrate our approach, we study three relevant diagrams involving the perimeter <i>P</i>, the diameter <i>d</i>, the area <i>A</i> and the first eigenvalue of the Laplace operator with Dirichlet boundary condition <span>(lambda _1)</span>. The first diagram is a purely geometric one involving the triplet (<i>P</i>, <i>d</i>, <i>A</i>) and the two other diagrams involve geometric and spectral functionals, namely <span>((P,lambda _1,A))</span> and <span>((d,lambda _1,A))</span> where a strange phenomenon of non-continuity of the extremal shapes is observed.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10250-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
General Duality and Dual Attainment for Adapted Transport 适应性运输的一般双重性和双重实现
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-21 DOI: 10.1007/s00245-025-10240-y
Daniel Kršek, Gudmund Pammer
{"title":"General Duality and Dual Attainment for Adapted Transport","authors":"Daniel Kršek,&nbsp;Gudmund Pammer","doi":"10.1007/s00245-025-10240-y","DOIUrl":"10.1007/s00245-025-10240-y","url":null,"abstract":"<div><p>We investigate duality and existence of dual optimizers for several adapted optimal transport problems under minimal assumptions. This includes the causal and bicausal transport, the causal and bicausal barycenter problem, and a multimarginal problem incorporating causality constraints. Moreover, we characterize polar sets in the causal and bicausal setting and discuss applications of our results in robust finance. We consider a non-dominated model of several financial markets where stocks are traded dynamically, but the joint stock dynamics are unknown. We show that a no-arbitrage assumption naturally leads to sets of multicausal couplings. Consequently, computing the robust superhedging price is equivalent to solving an adapted transport problem, and finding a superhedging strategy means solving the corresponding dual.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10240-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143667864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-19 DOI: 10.1007/s00245-025-10247-5
R. Kavin, Ananta K. Majee
{"title":"Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle","authors":"R. Kavin,&nbsp;Ananta K. Majee","doi":"10.1007/s00245-025-10247-5","DOIUrl":"10.1007/s00245-025-10247-5","url":null,"abstract":"<div><p>In this article, we study the well-posedness theory for solutions of the stochastic heat equations with logarithmic nonlinearity perturbed by multiplicative Lévy noise. By using Aldous tightness criteria and Jakubowski’s version of the Skorokhod theorem on non-metric spaces along with the standard <span>(L^2)</span>-method, we establish the existence of a path-wise unique strong solution. Moreover, by using a weak convergence method, we establish a large deviation principle for the strong solution of the underlying problem. Due to the lack of linear growth and locally Lipschitzness of the term <span>( u log (|u|))</span> present in the underlying problem, the logarithmic Sobolev inequality and the nonlinear versions of Gronwall’s inequalities play a crucial role.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143645648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-17 DOI: 10.1007/s00245-025-10249-3
Hung Vinh Tran, Zhenhua Wang, Yuming Paul Zhang
{"title":"Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations","authors":"Hung Vinh Tran,&nbsp;Zhenhua Wang,&nbsp;Yuming Paul Zhang","doi":"10.1007/s00245-025-10249-3","DOIUrl":"10.1007/s00245-025-10249-3","url":null,"abstract":"<div><p>We study the policy iteration algorithm (PIA) for entropy-regularized stochastic control problems on an infinite time horizon with a large discount rate, focusing on two main scenarios. First, we analyze PIA with bounded coefficients where the controls applied to the diffusion term satisfy a smallness condition. We demonstrate the convergence of PIA based on a uniform <span>({{mathcal {C}}}^{2,alpha })</span> estimate for the value sequence generated by PIA, and provide a quantitative convergence analysis for this scenario. Second, we investigate PIA with unbounded coefficients but no control over the diffusion term. In this scenario, we first provide the well-posedness of the exploratory Hamilton–Jacobi–Bellman equation with linear growth coefficients and polynomial growth reward function. By such a well-posedess result we achieve PIA’s convergence by establishing a quantitative locally uniform <span>({{mathcal {C}}}^{1,alpha })</span> estimates for the generated value sequence.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143632500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Delay Nonlocal Quasilinear Chafee–Infante Problem: An Approach via Semigroup Theory
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-10 DOI: 10.1007/s00245-025-10241-x
Tomás Caraballo, A. N. Carvalho, Yessica Julio
{"title":"A Delay Nonlocal Quasilinear Chafee–Infante Problem: An Approach via Semigroup Theory","authors":"Tomás Caraballo,&nbsp;A. N. Carvalho,&nbsp;Yessica Julio","doi":"10.1007/s00245-025-10241-x","DOIUrl":"10.1007/s00245-025-10241-x","url":null,"abstract":"<div><p>In this work we study a dissipative one dimensional scalar parabolic problem with non-local nonlinear diffusion with delay. We consider the general situation in which the functions involved are only continuous and solutions may not be unique. We establish conditions for global existence and prove the existence of global attractors. All results are presented only in the autonomous since the non-autonomous case follows in the same way, including the existence of pullback attractors. A particularly interesting feature is that there is a semilinear problem (nonlocal in space and in time) from which one can obtain all solutions of the associated quasilinear problem and that for this semilinear problem the delay depends on the initial function making its study more involved.\u0000</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Entropic Mean-Field Min–Max Problems via Best Response Flow
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-09 DOI: 10.1007/s00245-025-10246-6
Razvan-Andrei Lascu, Mateusz B. Majka, Łukasz Szpruch
{"title":"Entropic Mean-Field Min–Max Problems via Best Response Flow","authors":"Razvan-Andrei Lascu,&nbsp;Mateusz B. Majka,&nbsp;Łukasz Szpruch","doi":"10.1007/s00245-025-10246-6","DOIUrl":"10.1007/s00245-025-10246-6","url":null,"abstract":"<div><p>We investigate the convergence properties of a continuous-time optimization method, the <i>Mean-Field Best Response</i> flow, for solving convex-concave min-max games with entropy regularization. We introduce suitable Lyapunov functions to establish exponential convergence to the unique mixed Nash equilibrium. Additionally, we demonstrate the convergence of the fictitious play flow as a by-product of our analysis.\u0000</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10246-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信