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Advances in Differential Equations最新文献

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Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption 一类具有非线性梯度吸收的拟线性抛物型方程的整体存在性和爆破
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-03-01 DOI: 10.57262/ade/1548212470
Yingying Liu, Zhengce Zhang, Liping Zhu
{"title":"Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption","authors":"Yingying Liu, Zhengce Zhang, Liping Zhu","doi":"10.57262/ade/1548212470","DOIUrl":"https://doi.org/10.57262/ade/1548212470","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42590374","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}
引用次数: 11
Variational formulas for curves of fixed degree 定次曲线的变分公式
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-02-11 DOI: 10.57262/ade027-0506-333
G. Citti, Gianmarco Giovannardi, Manuel Ritor'e
{"title":"Variational formulas for curves of fixed degree","authors":"G. Citti, Gianmarco Giovannardi, Manuel Ritor'e","doi":"10.57262/ade027-0506-333","DOIUrl":"https://doi.org/10.57262/ade027-0506-333","url":null,"abstract":"We consider a length functional for $C^1$ curves of fixed degree in graded manifolds equipped with a Riemannian metric. The first variation of this length functional can be computed only if the curve can be deformed in a suitable sense, and this condition is expressed via a differential equation along the curve. In the classical differential geometry setting, the analogous condition was considered by Bryant and Hsu in [Invent. Math., 114(2):435-461, 1993, J. Differential Geom., 36(3):551-589, 1992], who proved that it is equivalent to the surjectivity of a holonomy map. The purpose of this paper is to extend this deformation theory to curves of fixed degree providing several examples and applications. In particular, we give a useful sufficient condition to guarantee the possibility of deforming a curve.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42966394","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}
引用次数: 3
Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system 电子惯性Hall-MHD系统解的适定性和大时间行为
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-01-01 DOI: 10.57262/ade/1544497234
Y. Fukumoto, Xiaopeng Zhao
{"title":"Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system","authors":"Y. Fukumoto, Xiaopeng Zhao","doi":"10.57262/ade/1544497234","DOIUrl":"https://doi.org/10.57262/ade/1544497234","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49420660","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}
引用次数: 8
Local well-posedness for third order Benjamin-Ono type equations on the torus 环面上三阶Benjamin-Ono型方程的局部适定性
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2018-12-09 DOI: 10.57262/ade/1565661672
Tomoyuki Tanaka
{"title":"Local well-posedness for third order Benjamin-Ono type equations on the torus","authors":"Tomoyuki Tanaka","doi":"10.57262/ade/1565661672","DOIUrl":"https://doi.org/10.57262/ade/1565661672","url":null,"abstract":"We consider the Cauchy problem of third order Benjamin-Ono type equations on the torus. Nonlinear terms may yield derivative losses, which prevents us from using the classical energy method. In order to overcome that difficulty, we add a correction term into the energy. We also use the Bona-Smith type argument to show the continuous dependence.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2018-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48929256","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}
引用次数: 4
Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows 曲率偏差与等周比之间的插值不等式及其在几何流中的应用
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2018-11-26 DOI: 10.57262/ade/1565661673
Takeyuki Nagasawa, Kohei Nakamura
{"title":"Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows","authors":"Takeyuki Nagasawa, Kohei Nakamura","doi":"10.57262/ade/1565661673","DOIUrl":"https://doi.org/10.57262/ade/1565661673","url":null,"abstract":"Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoperimetric ratio. As applications, we study the large-time behavior of some geometric flows of closed plane curves without a convexity assumption.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2018-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46998317","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}
引用次数: 5
On a generalized fractional Du Bois-Reymond lemma and its applications 一类广义分数型Du Bois-Reymond引理及其应用
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2018-11-01 DOI: 10.57262/ade/1537840836
R. Kamocki
{"title":"On a generalized fractional Du Bois-Reymond lemma and its applications","authors":"R. Kamocki","doi":"10.57262/ade/1537840836","DOIUrl":"https://doi.org/10.57262/ade/1537840836","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45285583","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}
引用次数: 0
A classification for wave models with time-dependent potential and speed of propagation 具有随时间变化的势和传播速度的波动模型的分类
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2018-11-01 DOI: 10.57262/ade/1537840835
M. R. Ebert, Wanderley Nunes do Nascimento
{"title":"A classification for wave models with time-dependent potential and speed of propagation","authors":"M. R. Ebert, Wanderley Nunes do Nascimento","doi":"10.57262/ade/1537840835","DOIUrl":"https://doi.org/10.57262/ade/1537840835","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46841041","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}
引用次数: 2
Symmetric Lyapunov center theorem for orbit with nontrivial isotropy group 非平凡各向同性群轨道的对称李雅普诺夫中心定理
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2018-10-22 DOI: 10.57262/ade/1580958057
Marta Kowalczyk, Ernesto P'erez-Chavela, S. Rybicki
{"title":"Symmetric Lyapunov center theorem for orbit with nontrivial isotropy group","authors":"Marta Kowalczyk, Ernesto P'erez-Chavela, S. Rybicki","doi":"10.57262/ade/1580958057","DOIUrl":"https://doi.org/10.57262/ade/1580958057","url":null,"abstract":"In this article we prove two versions of the Liapunov center theorem for symmetric potentials. We consider a~second order autonomous system $ddot q(t)=-nabla U(q(t))$ in the presence of symmetries of a compact Lie group $Gamma$ acting linearly on $mathbb{R}^n.$ We look for non-stationary periodic solutions of this system in a~neighborhood of an orbit of critical points of the potential $U.$","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2018-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43732190","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}
引用次数: 1
Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in five and higher dimensions 五维及更高维Klein-Gordon-Zakharov系统Cauchy问题的适定性
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2018-09-01 DOI: 10.57262/ade/1528855477
Isao Kato, S. Kinoshita
{"title":"Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in five and higher dimensions","authors":"Isao Kato, S. Kinoshita","doi":"10.57262/ade/1528855477","DOIUrl":"https://doi.org/10.57262/ade/1528855477","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42300947","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}
引用次数: 0
On the modified scattering of $3$-d Hartree type fractional Schrödinger equations with Coulomb potential for any given initial and boundary data. 关于具有库仑势的$3$-d Hartree型分数阶Schrödinger方程对任何给定的初始和边界数据的修正散射。
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2018-09-01 DOI: 10.57262/ade/1528855474
Yonggeun Cho, Gyeongha Hwang, Changhun Yang
{"title":"On the modified scattering of $3$-d Hartree type fractional Schrödinger equations with Coulomb potential for any given initial and boundary data.","authors":"Yonggeun Cho, Gyeongha Hwang, Changhun Yang","doi":"10.57262/ade/1528855474","DOIUrl":"https://doi.org/10.57262/ade/1528855474","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42057640","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}
引用次数: 0
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