Pub Date : 2024-08-09DOI: 10.1142/s0219530524500374
Genglin Li, Michael Winkler
{"title":"Continuous solutions for a two-dimensional cross-diffusion problem involving doubly degenerate diffusion and logistic proliferation","authors":"Genglin Li, Michael Winkler","doi":"10.1142/s0219530524500374","DOIUrl":"https://doi.org/10.1142/s0219530524500374","url":null,"abstract":"","PeriodicalId":503529,"journal":{"name":"Analysis and Applications","volume":"43 47","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141924214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-07DOI: 10.1142/s021953052450026x
Si-Ying Long, An-Ping Liu, Teng‐Fei Zhang
{"title":"Local Well-posedness of a Viscoelastic Fluid Model for Reactive Polymers","authors":"Si-Ying Long, An-Ping Liu, Teng‐Fei Zhang","doi":"10.1142/s021953052450026x","DOIUrl":"https://doi.org/10.1142/s021953052450026x","url":null,"abstract":"","PeriodicalId":503529,"journal":{"name":"Analysis and Applications","volume":"9 31","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141004524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-07DOI: 10.1142/s0219530524500258
Zhiguang Zhang, Yuxiang Li
{"title":"Global Weak Solutions to a Nonlinear Chemotaxis System with Singular Density-Suppressed Motility","authors":"Zhiguang Zhang, Yuxiang Li","doi":"10.1142/s0219530524500258","DOIUrl":"https://doi.org/10.1142/s0219530524500258","url":null,"abstract":"","PeriodicalId":503529,"journal":{"name":"Analysis and Applications","volume":"26 47","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141005625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-03DOI: 10.1142/s0219530524500246
Bojing Shi
{"title":"Uniform Boundary Estimates for Neumann Problems in Parabolic Homogenization","authors":"Bojing Shi","doi":"10.1142/s0219530524500246","DOIUrl":"https://doi.org/10.1142/s0219530524500246","url":null,"abstract":"","PeriodicalId":503529,"journal":{"name":"Analysis and Applications","volume":"24 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141017115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-22DOI: 10.1142/s0219530524500155
Rui Li, Qingyue Zhang
{"title":"Uniqueness of phase retrieval with short-time linear canonical transform","authors":"Rui Li, Qingyue Zhang","doi":"10.1142/s0219530524500155","DOIUrl":"https://doi.org/10.1142/s0219530524500155","url":null,"abstract":"","PeriodicalId":503529,"journal":{"name":"Analysis and Applications","volume":" 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140220326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-22DOI: 10.1142/s021953052450012x
S. Bajpeyi, Dhiraj Patel, S. Sivananthan
{"title":"Relevant Sampling in a reproducing kernel subspace of Orlicz space","authors":"S. Bajpeyi, Dhiraj Patel, S. Sivananthan","doi":"10.1142/s021953052450012x","DOIUrl":"https://doi.org/10.1142/s021953052450012x","url":null,"abstract":"","PeriodicalId":503529,"journal":{"name":"Analysis and Applications","volume":" 30","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140220116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-01DOI: 10.1142/s0219530523500355
Ting Hu, Renjie Guo
Distributed learning has attracted considerable attention in recent years due to its power to deal with big data in various science and engineering problems. Based on a divide-and-conquer strategy, this paper studies the distributed robust regression algorithm associated with correntropy losses and coefficient regularization in the scheme of kernel networks, where the kernel functions are not required to be symmetric or positive semi-definite. We establish explicit convergence results of such distributed algorithm depending on the number of data partitions, robustness and regularization parameters. We show that with suitable parameter choices the distributed robust algorithm can obtain the optimal convergence rate in the minimax sense, and simultaneously reduce the computational complexity and memory requirement in the standard (non-distributed) algorithms.
{"title":"Distributed robust regression with correntropy losses and regularization kernel networks","authors":"Ting Hu, Renjie Guo","doi":"10.1142/s0219530523500355","DOIUrl":"https://doi.org/10.1142/s0219530523500355","url":null,"abstract":"Distributed learning has attracted considerable attention in recent years due to its power to deal with big data in various science and engineering problems. Based on a divide-and-conquer strategy, this paper studies the distributed robust regression algorithm associated with correntropy losses and coefficient regularization in the scheme of kernel networks, where the kernel functions are not required to be symmetric or positive semi-definite. We establish explicit convergence results of such distributed algorithm depending on the number of data partitions, robustness and regularization parameters. We show that with suitable parameter choices the distributed robust algorithm can obtain the optimal convergence rate in the minimax sense, and simultaneously reduce the computational complexity and memory requirement in the standard (non-distributed) algorithms.","PeriodicalId":503529,"journal":{"name":"Analysis and Applications","volume":"38 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139815647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-01DOI: 10.1142/s0219530523500343
Qian Cheng, Chun-Lei He, Shou-Jun Huang
In this paper, we investigate the various aspects of normal hyperbolic mean curvature flow by LeFloch and Smoczyk. It is remarkable that the equation admits the null condition in three-dimensional case and only satisfies the first null condition when [Formula: see text]. Based on the interesting findings, we can obtain the results of global existence of smooth solutions, as well as the stability of hyperplanes under this flow when [Formula: see text], which relates to the famous Bernstein theorem. Some explicit solutions for this flow have been also derived. It should be emphasized that the null structures of this hyperbolic mean curvature flow have not been found before.
{"title":"Remarks on the normal hyperbolic mean curvature flow","authors":"Qian Cheng, Chun-Lei He, Shou-Jun Huang","doi":"10.1142/s0219530523500343","DOIUrl":"https://doi.org/10.1142/s0219530523500343","url":null,"abstract":"In this paper, we investigate the various aspects of normal hyperbolic mean curvature flow by LeFloch and Smoczyk. It is remarkable that the equation admits the null condition in three-dimensional case and only satisfies the first null condition when [Formula: see text]. Based on the interesting findings, we can obtain the results of global existence of smooth solutions, as well as the stability of hyperplanes under this flow when [Formula: see text], which relates to the famous Bernstein theorem. Some explicit solutions for this flow have been also derived. It should be emphasized that the null structures of this hyperbolic mean curvature flow have not been found before.","PeriodicalId":503529,"journal":{"name":"Analysis and Applications","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139883207","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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