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Nonlinear fractional Schrödinger equation on the half-Line 半线上的非线性分数阶Schrödinger方程
SN partial differential equations and applications Pub Date : 2022-11-01 DOI: 10.1007/s42985-022-00215-x
Gerardo Huaroto
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引用次数: 0
Large time asymptotics for the fractional modified Korteweg-de Vries equation with $$alpha in left( 2,4right) $$ α ∈ 2 具有$$alpha in left( 2,4right) $$ α∈2的分数阶修正Korteweg-de Vries方程的大时间渐近性
SN partial differential equations and applications Pub Date : 2022-10-21 DOI: 10.1007/s42985-022-00206-y
N. Hayashi, P. Naumkin, Isahi Sánchez-Suarez
{"title":"Large time asymptotics for the fractional modified Korteweg-de Vries equation with \u0000 \u0000 \u0000 \u0000 $$alpha in left( 2,4right) $$\u0000 \u0000 \u0000 α\u0000 ∈\u0000 \u0000 2\u0000 ","authors":"N. Hayashi, P. Naumkin, Isahi Sánchez-Suarez","doi":"10.1007/s42985-022-00206-y","DOIUrl":"https://doi.org/10.1007/s42985-022-00206-y","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"28 1","pages":"1-28"},"PeriodicalIF":0.0,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86673396","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}
引用次数: 0
Local existence for the non-resistive magnetohydrodynamic system with fractional dissipation in the $$L^p$$ L p framework $$L^p$$ L p框架下分数耗散的无电阻磁流体动力系统的局部存在性
SN partial differential equations and applications Pub Date : 2022-10-18 DOI: 10.1007/s42985-022-00211-1
Huaijun Qiu, Z. Yao
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引用次数: 0
On the antimaximum principle for the p-Laplacian and its sublinear perturbations 论p-拉普拉斯及其次线性摄动的反极大值原理
SN partial differential equations and applications Pub Date : 2022-10-17 DOI: 10.1007/s42985-023-00235-1
V. Bobkov, Mieko Tanaka
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引用次数: 0
Similarity solutions for imploding strong shock waves in a van der Waals gas 范德华气体内爆强激波的相似解
SN partial differential equations and applications Pub Date : 2022-10-14 DOI: 10.1007/s42985-022-00199-8
Ankita Sharma, R. Arora
{"title":"Similarity solutions for imploding strong shock waves in a van der Waals gas","authors":"Ankita Sharma, R. Arora","doi":"10.1007/s42985-022-00199-8","DOIUrl":"https://doi.org/10.1007/s42985-022-00199-8","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"75 1","pages":"1-22"},"PeriodicalIF":0.0,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85994082","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}
引用次数: 1
Functional analytic properties and regularity of the Möbius-invariant Willmore flow in Rndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} Functional analytic properties and regularity of the Möbius-invariant Willmore flow in Rndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt}
SN partial differential equations and applications Pub Date : 2022-09-28 DOI: 10.1007/s42985-022-00205-z
Ruben Jakob
{"title":"Functional analytic properties and regularity of the Möbius-invariant Willmore flow in Rndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt}","authors":"Ruben Jakob","doi":"10.1007/s42985-022-00205-z","DOIUrl":"https://doi.org/10.1007/s42985-022-00205-z","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82610878","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}
引用次数: 2
A deep learning approach to the probabilistic numerical solution of path-dependent partial differential equations 路径相关偏微分方程概率数值解的深度学习方法
SN partial differential equations and applications Pub Date : 2022-09-28 DOI: 10.1007/s42985-023-00255-x
Jiang Yu Nguwi, Nicolas Privault
{"title":"A deep learning approach to the probabilistic numerical solution of path-dependent partial differential equations","authors":"Jiang Yu Nguwi, Nicolas Privault","doi":"10.1007/s42985-023-00255-x","DOIUrl":"https://doi.org/10.1007/s42985-023-00255-x","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"18 1","pages":"1-20"},"PeriodicalIF":0.0,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86945363","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}
引用次数: 0
Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres 球面上具有重复平均运算的Sobolev空间和Marcinkiewicz型函数
SN partial differential equations and applications Pub Date : 2022-09-24 DOI: 10.1007/s42985-022-00203-1
Shuichi Sato
{"title":"Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres","authors":"Shuichi Sato","doi":"10.1007/s42985-022-00203-1","DOIUrl":"https://doi.org/10.1007/s42985-022-00203-1","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"47 1","pages":"1-19"},"PeriodicalIF":0.0,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76987306","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}
引用次数: 0
Higher-order error estimates for physics-informed neural networks approximating the primitive equations 近似原始方程的物理信息神经网络的高阶误差估计
SN partial differential equations and applications Pub Date : 2022-09-24 DOI: 10.1007/s42985-023-00254-y
Ruimeng Hu, Quyuan Lin, Alan Raydan, Sui Tang
{"title":"Higher-order error estimates for physics-informed neural networks approximating the primitive equations","authors":"Ruimeng Hu, Quyuan Lin, Alan Raydan, Sui Tang","doi":"10.1007/s42985-023-00254-y","DOIUrl":"https://doi.org/10.1007/s42985-023-00254-y","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"60 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88485289","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}
引用次数: 3
The effect of the domain topology on the number of positive solutions for an elliptic system 区域拓扑对椭圆系统正解数的影响
SN partial differential equations and applications Pub Date : 2022-09-20 DOI: 10.1007/s42985-022-00202-2
G. Figueiredo, Leticia S. Silva
{"title":"The effect of the domain topology on the number of positive solutions for an elliptic system","authors":"G. Figueiredo, Leticia S. Silva","doi":"10.1007/s42985-022-00202-2","DOIUrl":"https://doi.org/10.1007/s42985-022-00202-2","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"58 1","pages":"1-23"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74359316","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}
引用次数: 0
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