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Existence and uniqueness of solution for some time fractional parabolic equations involving the 1-Laplace operator 一类含1-拉普拉斯算子的分数阶抛物型方程解的存在唯一性
SN partial differential equations and applications Pub Date : 2023-02-14 DOI: 10.1007/s42985-022-00222-y
C. O. Alves, Tahir Boudjeriou
{"title":"Existence and uniqueness of solution for some time fractional parabolic equations involving the 1-Laplace operator","authors":"C. O. Alves, Tahir Boudjeriou","doi":"10.1007/s42985-022-00222-y","DOIUrl":"https://doi.org/10.1007/s42985-022-00222-y","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"1 1","pages":"1-35"},"PeriodicalIF":0.0,"publicationDate":"2023-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90821736","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
Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces 应用于完全类空间超曲面的漂移拉普拉斯算子的一些极大原理
SN partial differential equations and applications Pub Date : 2023-02-13 DOI: 10.1007/s42985-022-00221-z
Danilo F. da Silva, E. Lima, H. D. de Lima
{"title":"Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces","authors":"Danilo F. da Silva, E. Lima, H. D. de Lima","doi":"10.1007/s42985-022-00221-z","DOIUrl":"https://doi.org/10.1007/s42985-022-00221-z","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"81 1","pages":"1-16"},"PeriodicalIF":0.0,"publicationDate":"2023-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83428311","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
Existence and non-uniqueness of stationary states for the Vlasov-Poisson equation on R3 subject to attractive background charges. 具有吸引背景电荷的R3上Vlasov-Poisson方程稳态的存在性和非唯一性。
SN partial differential equations and applications Pub Date : 2023-01-01 Epub Date: 2023-06-29 DOI: 10.1007/s42985-023-00241-3
Raphael Winter
{"title":"<ArticleTitle xmlns:ns0=\"http://www.w3.org/1998/Math/MathML\">Existence and non-uniqueness of stationary states for the Vlasov-Poisson equation on <ns0:math><ns0:msup><ns0:mrow><ns0:mi>R</ns0:mi></ns0:mrow><ns0:mn>3</ns0:mn></ns0:msup></ns0:math> subject to attractive background charges.","authors":"Raphael Winter","doi":"10.1007/s42985-023-00241-3","DOIUrl":"10.1007/s42985-023-00241-3","url":null,"abstract":"<p><p>We prove the existence of stationary solutions for the density of an infinitely extended plasma interacting with an arbitrary configuration of background charges. Furthermore, we show that the solution cannot be unique if the total charge of the background is attractive. In this case, infinitely many different stationary solutions exist. The non-uniqueness can be explained by the presence of trapped particles orbiting the attractive background charge.</p>","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"4 4","pages":"30"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10310580/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10123698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uniform large deviations for a class of semilinear stochastic partial differential equations driven by a Brownian sheet 一类由布朗页驱动的半线性随机偏微分方程的均匀大偏差
SN partial differential equations and applications Pub Date : 2022-12-16 DOI: 10.1007/s42985-022-00220-0
L. Setayeshgar
{"title":"Uniform large deviations for a class of semilinear stochastic partial differential equations driven by a Brownian sheet","authors":"L. Setayeshgar","doi":"10.1007/s42985-022-00220-0","DOIUrl":"https://doi.org/10.1007/s42985-022-00220-0","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"1 1","pages":"1-12"},"PeriodicalIF":0.0,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83111588","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
On the rigorous derivation of hydrodynamics of the Kuramoto model for synchronization phenomena 同步现象的Kuramoto模型流体力学的严格推导
SN partial differential equations and applications Pub Date : 2022-12-13 DOI: 10.1007/s42985-022-00219-7
Young-Pil Choi
{"title":"On the rigorous derivation of hydrodynamics of the Kuramoto model for synchronization phenomena","authors":"Young-Pil Choi","doi":"10.1007/s42985-022-00219-7","DOIUrl":"https://doi.org/10.1007/s42985-022-00219-7","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"21 1","pages":"1-20"},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91179605","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
A time-periodic reaction-diffusion population model of a species subjected to harvesting on the boundary of a protected habitat 保护区边界上受采伐的物种的时间周期反应-扩散种群模型
SN partial differential equations and applications Pub Date : 2022-11-23 DOI: 10.1007/s42985-022-00216-w
K. D. Searle, J. V. van Vuuren
{"title":"A time-periodic reaction-diffusion population model of a species subjected to harvesting on the boundary of a protected habitat","authors":"K. D. Searle, J. V. van Vuuren","doi":"10.1007/s42985-022-00216-w","DOIUrl":"https://doi.org/10.1007/s42985-022-00216-w","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"18 1","pages":"1-19"},"PeriodicalIF":0.0,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82506577","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
Exhaustive existence and non-existence results for Hardy–Hénon equations in $${{,mathrm{{textbf{R}}},}}^n$$ R $${{,mathrm{{textbf{R}}},}}^n$$ R中hardy - hsamnon方程的穷举存在性和不存在性结果
SN partial differential equations and applications Pub Date : 2022-11-22 DOI: 10.1007/s42985-022-00190-3
Y. Giga, Q. Ngô
{"title":"Exhaustive existence and non-existence results for Hardy–Hénon equations in \u0000 \u0000 \u0000 \u0000 $${{,mathrm{{textbf{R}}},}}^n$$\u0000 \u0000 \u0000 \u0000 \u0000 \u0000 R\u0000 ","authors":"Y. Giga, Q. Ngô","doi":"10.1007/s42985-022-00190-3","DOIUrl":"https://doi.org/10.1007/s42985-022-00190-3","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"51 1","pages":"1-38"},"PeriodicalIF":0.0,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80711803","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
Families of solutions to the KPI equation given by an extended Darboux transformation 由扩展的达布变换给出的KPI方程的族解
SN partial differential equations and applications Pub Date : 2022-11-21 DOI: 10.1007/s42985-022-00212-0
P. Gaillard
{"title":"Families of solutions to the KPI equation given by an extended Darboux transformation","authors":"P. Gaillard","doi":"10.1007/s42985-022-00212-0","DOIUrl":"https://doi.org/10.1007/s42985-022-00212-0","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"38 1","pages":"1-14"},"PeriodicalIF":0.0,"publicationDate":"2022-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86089836","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
On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation 与短脉冲方程相关的非局部椭圆-双曲系统的初边值问题
SN partial differential equations and applications Pub Date : 2022-11-16 DOI: 10.1007/s42985-022-00208-w
G. Coclite, Lorenzo di Ruvo
{"title":"On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation","authors":"G. Coclite, Lorenzo di Ruvo","doi":"10.1007/s42985-022-00208-w","DOIUrl":"https://doi.org/10.1007/s42985-022-00208-w","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"12 1","pages":"1-40"},"PeriodicalIF":0.0,"publicationDate":"2022-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74460712","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: 5
Phragmén–Lindelöf theorems for a weakly elliptic equation with a nonlinear dynamical boundary condition 具有非线性动态边界条件的弱椭圆方程的Phragmén-Lindelöf定理
SN partial differential equations and applications Pub Date : 2022-11-09 DOI: 10.1007/s42985-023-00239-x
Keisuke Abiko
{"title":"Phragmén–Lindelöf theorems for a weakly elliptic equation with a nonlinear dynamical boundary condition","authors":"Keisuke Abiko","doi":"10.1007/s42985-023-00239-x","DOIUrl":"https://doi.org/10.1007/s42985-023-00239-x","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77275449","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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