Pub Date : 2026-02-07DOI: 10.1016/j.camwa.2026.01.038
Karel Van Bockstal, Khonatbek Khompysh
{"title":"A time-dependent inverse source problem for a semilinear pseudo-parabolic equation with Neumann boundary condition","authors":"Karel Van Bockstal, Khonatbek Khompysh","doi":"10.1016/j.camwa.2026.01.038","DOIUrl":"https://doi.org/10.1016/j.camwa.2026.01.038","url":null,"abstract":"","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"92 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134759","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}
Pub Date : 2026-02-07DOI: 10.1016/j.chaos.2026.118040
R. Anand, V.K. Chandrasekar, R. Suresh
{"title":"Emergence of solitary and chimera states in adaptive pendulum networks under diverse learning rules","authors":"R. Anand, V.K. Chandrasekar, R. Suresh","doi":"10.1016/j.chaos.2026.118040","DOIUrl":"https://doi.org/10.1016/j.chaos.2026.118040","url":null,"abstract":"","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"307 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-07DOI: 10.1016/j.chaos.2026.118018
Yong Liang, Chao Tan, Chaoyang Chen
{"title":"Marked improvement of auto-focusing vortex beam performance in atmospheric turbulence based on the fractional system","authors":"Yong Liang, Chao Tan, Chaoyang Chen","doi":"10.1016/j.chaos.2026.118018","DOIUrl":"https://doi.org/10.1016/j.chaos.2026.118018","url":null,"abstract":"","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"1 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-06DOI: 10.1080/10618600.2026.2614102
Ganna Fagerberg, Mattias Villani, Robert Kohn
{"title":"Time-Varying Multi-Seasonal AR Models","authors":"Ganna Fagerberg, Mattias Villani, Robert Kohn","doi":"10.1080/10618600.2026.2614102","DOIUrl":"https://doi.org/10.1080/10618600.2026.2614102","url":null,"abstract":"","PeriodicalId":15422,"journal":{"name":"Journal of Computational and Graphical Statistics","volume":"3 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146138821","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}
Pub Date : 2026-02-06DOI: 10.1016/j.matpur.2026.103868
Nicolas Beuvin , Alberto Farina , Berardino Sciunzi
We consider positive solutions, possibly unbounded, to the semilinear equation on continuous epigraphs bounded from below. Under the homogeneous Dirichlet boundary condition, we prove new monotonicity results for u, when f is a (locally or globally) Lipschitz-continuous function satisfying . As an application of our new monotonicity theorems, we prove some classification and/or non-existence results. To prove our results, we first establish some new comparison principles for semilinear problems on general unbounded open sets of , and then we use them to start and to complete a modified version of the moving plane method adapted to the geometry of the epigraph Ω. As a by-product of our analysis, we also prove some new results of uniqueness and symmetry for solutions (possibly unbounded and sign-changing) to the homogeneous Dirichlet BVP for the semilinear Poisson equation in fairly general unbounded domains.
{"title":"Monotonicity for solutions to semilinear problems in epigraphs","authors":"Nicolas Beuvin , Alberto Farina , Berardino Sciunzi","doi":"10.1016/j.matpur.2026.103868","DOIUrl":"10.1016/j.matpur.2026.103868","url":null,"abstract":"<div><div>We consider positive solutions, possibly unbounded, to the semilinear equation <span><math><mo>−</mo><mi>Δ</mi><mi>u</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></span> on continuous epigraphs bounded from below. Under the homogeneous Dirichlet boundary condition, we prove new monotonicity results for <em>u</em>, when <em>f</em> is a (locally or globally) Lipschitz-continuous function satisfying <span><math><mi>f</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>≥</mo><mn>0</mn></math></span>. As an application of our new monotonicity theorems, we prove some classification and/or non-existence results. To prove our results, we first establish some new comparison principles for semilinear problems on general unbounded open sets of <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup></math></span>, and then we use them to start and to complete a modified version of the moving plane method adapted to the geometry of the epigraph Ω. As a by-product of our analysis, we also prove some new results of uniqueness and symmetry for solutions (possibly unbounded and sign-changing) to the homogeneous Dirichlet BVP for the semilinear Poisson equation in fairly general unbounded domains.</div></div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":"210 ","pages":"Article 103868"},"PeriodicalIF":2.3,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146147427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-06DOI: 10.1016/j.amc.2026.130009
Ruijie Yin, Zhaojing Wu, Likang Feng
{"title":"Nested saturation control of Mecanum-wheeled mobile robot under stochastic disturbances and input constraints","authors":"Ruijie Yin, Zhaojing Wu, Likang Feng","doi":"10.1016/j.amc.2026.130009","DOIUrl":"https://doi.org/10.1016/j.amc.2026.130009","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"162 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134762","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}
We extend the classical Burgess estimates to character sums over proper generalized arithmetic progressions (GAPs) of rank 2 in prime fields . The core of our proof is a sharp upper bound for the multiplicative energy of these sets, established by adapting an argument of Konyagin and leveraging tools from the geometry of numbers. A key step in our argument involves establishing new upper bounds for the sizes of Bohr sets, which may be of independent interest.
{"title":"Burgess-type character sum estimates over generalized arithmetic progressions of rank 2","authors":"Ali Alsetri, Xuancheng Shao","doi":"10.1112/blms.70293","DOIUrl":"https://doi.org/10.1112/blms.70293","url":null,"abstract":"<p>We extend the classical Burgess estimates to character sums over proper generalized arithmetic progressions (GAPs) of rank 2 in prime fields <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>F</mi>\u0000 <mi>p</mi>\u0000 </msub>\u0000 <annotation>$mathbb {F}_p$</annotation>\u0000 </semantics></math>. The core of our proof is a sharp upper bound for the multiplicative energy of these sets, established by adapting an argument of Konyagin and leveraging tools from the geometry of numbers. A key step in our argument involves establishing new upper bounds for the sizes of Bohr sets, which may be of independent interest.</p>","PeriodicalId":55298,"journal":{"name":"Bulletin of the London Mathematical Society","volume":"58 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146129959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-06DOI: 10.1016/j.jnt.2026.01.008
Sebastián Herrero , Tobías Martínez , Pedro Montero
Inspired by Bourqui's work on anticanonical height zeta functions on Hirzebruch surfaces, we study height zeta functions of complete smooth split toric varieties with Picard rank 2 over global function fields, with respect to height functions associated with big metrized line bundles. We show that these varieties can be naturally decomposed into a finite disjoint union of subvarieties, where precise analytic properties of the corresponding height zeta functions can be given. As application, we obtain asymptotic formulas for the number of rational points of large height on each subvariety, with explicit leading constants and controlled error terms.
{"title":"Counting rational points on Hirzebruch–Kleinschmidt varieties over global function fields","authors":"Sebastián Herrero , Tobías Martínez , Pedro Montero","doi":"10.1016/j.jnt.2026.01.008","DOIUrl":"10.1016/j.jnt.2026.01.008","url":null,"abstract":"<div><div>Inspired by Bourqui's work on anticanonical height zeta functions on Hirzebruch surfaces, we study height zeta functions of complete smooth split toric varieties with Picard rank 2 over global function fields, with respect to height functions associated with big metrized line bundles. We show that these varieties can be naturally decomposed into a finite disjoint union of subvarieties, where precise analytic properties of the corresponding height zeta functions can be given. As application, we obtain asymptotic formulas for the number of rational points of large height on each subvariety, with explicit leading constants and controlled error terms.</div></div>","PeriodicalId":50110,"journal":{"name":"Journal of Number Theory","volume":"285 ","pages":"Pages 1-53"},"PeriodicalIF":0.7,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146147485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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