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Zeitschrift fur Analysis und ihre Anwendungen最新文献

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Harnack Type Inequalities and Multiple Solutions in Cones of Nonlinear Problems 非线性锥型问题的Harnack型不等式和多重解
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2020-04-07 DOI: 10.4171/zaa/1655
Diana-Raluca Herlea, D. O’Regan, R. Precup
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引用次数: 5
Existence and New General Decay Results for a Viscoelastic Timoshenko System 粘弹性Timoshenko系统的存在性及新的一般衰减结果
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2020-04-07 DOI: 10.4171/zaa/1657
J. Hassan, S. Messaoudi, M. Zahri
{"title":"Existence and New General Decay Results for a Viscoelastic Timoshenko System","authors":"J. Hassan, S. Messaoudi, M. Zahri","doi":"10.4171/zaa/1657","DOIUrl":"https://doi.org/10.4171/zaa/1657","url":null,"abstract":"","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":"35 1","pages":"185-222"},"PeriodicalIF":1.2,"publicationDate":"2020-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85468683","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: 18
Exact Controllability and Stabilization of Locally Coupled Wave Equations: Theoretical Results 局部耦合波动方程的精确可控性和稳定性:理论结果
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2020-03-31 DOI: 10.4171/ZAA/1673
S. Gerbi, Chiraz Kassem, Amina Mortada, A. Wehbe
{"title":"Exact Controllability and Stabilization of Locally Coupled Wave Equations: Theoretical Results","authors":"S. Gerbi, Chiraz Kassem, Amina Mortada, A. Wehbe","doi":"10.4171/ZAA/1673","DOIUrl":"https://doi.org/10.4171/ZAA/1673","url":null,"abstract":"In this paper, we study the exact controllability and stabilization of a system of two wave equations coupled by velocities with an internal, local control acting on only one equation. We distinguish two cases. In the first one, when the waves propagate at the same speed: using a frequency domain approach combined with multiplier technique, we prove that the system is exponentially stable when the coupling region satisfies the geometric control condition GCC. Following a result of Haraux ([11]), we establish the main indirect observability inequality. This results leads, by the HUM method, to prove that the total system is exactly controllable by means of locally distributed control. In the second case, when the waves propagate at different speed, we establish an exponential decay rate in the weak energy space. Consequently, the system is exactly controllable using a result of [11]. Finally, numerically, we provide results that insure the theoretical results of [13].","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2020-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44455065","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: 9
Maximum Principle for Space and Time-Space Fractional Partial Differential Equations 空间与时空分数阶偏微分方程的极大值原理
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2020-02-19 DOI: 10.4171/ZAA/1685
M. Kirane, B. Torebek
{"title":"Maximum Principle for Space and Time-Space Fractional Partial Differential Equations","authors":"M. Kirane, B. Torebek","doi":"10.4171/ZAA/1685","DOIUrl":"https://doi.org/10.4171/ZAA/1685","url":null,"abstract":"In this paper we obtain new estimates of the sequential Caputo fractional derivatives of a function at its extremum points. We derive comparison principles for the linear fractional differential equations, and apply these principles to obtain lower and upper bounds of solutions of linear and nonlinear fractional differential equations. The extremum principle is then applied to show that the initial-boundary-value problem for nonlinear anomalous diffusion possesses at most one classical solution and this solution depends continuously on the initial and boundary data. This answers positively to the open problem about maximum principle for the space and time-space fractional PDEs posed by Luchko in 2011. The extremum principle for an elliptic equation with a fractional derivative and for the fractional Laplace equation are also proved.","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2020-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42671671","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
Measures of Non-Compactness and Sobolev–Lorentz Spaces 非紧性测度与Sobolev-Lorentz空间
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2020-01-24 DOI: 10.4171/zaa/1649
Ondřej Bouchala
{"title":"Measures of Non-Compactness and Sobolev–Lorentz Spaces","authors":"Ondřej Bouchala","doi":"10.4171/zaa/1649","DOIUrl":"https://doi.org/10.4171/zaa/1649","url":null,"abstract":"","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":"64 1","pages":"27-40"},"PeriodicalIF":1.2,"publicationDate":"2020-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/zaa/1649","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72502313","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
The Cauchy Problem for Thermoelastic Plates with Two Temperatures 双温度热弹性板的Cauchy问题
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2020-01-24 DOI: 10.4171/ZAA/1653
R. Racke, Yoshihiro Ueda
{"title":"The Cauchy Problem for Thermoelastic Plates with Two Temperatures","authors":"R. Racke, Yoshihiro Ueda","doi":"10.4171/ZAA/1653","DOIUrl":"https://doi.org/10.4171/ZAA/1653","url":null,"abstract":"We consider the decay rates of solutions to thermoelastic systems in materials where, in contrast to classical thermoelastic models for Kirchhoff type plates, two temperatures are involved, related by an elliptic equation. The arising initial value problems deal with systems of partial differential equations involving Schrödinger like equations, hyperbolic and elliptic equations. Depending on the model – with Fourier or with Cattaneo type heat conduction – we obtain polynomial decay rates without or with regularity loss. This way we obtain another example where the loss of regularity in the Cauchy problem corresponds to the loss of exponential stability in bounded domains. The well-posedness is done using semigroup theory in appropriate space reflecting the different regularity compared to the classical single temperature case, and the (optimal) decay estimates are obtained with sophisticated pointwise estimates in Fourier space.","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":"21 1","pages":"103-129"},"PeriodicalIF":1.2,"publicationDate":"2020-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78877597","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
Blow-Up Criterion of Strong Solution with Vacuum for the 2D Nonhomogeneous Density-Temperature-Dependent Boussinesq Equations 二维非齐次密度-温度相关Boussinesq方程的真空强解爆破判据
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2020-01-24 DOI: 10.4171/zaa/1652
Z. Ye
{"title":"Blow-Up Criterion of Strong Solution with Vacuum for the 2D Nonhomogeneous Density-Temperature-Dependent Boussinesq Equations","authors":"Z. Ye","doi":"10.4171/zaa/1652","DOIUrl":"https://doi.org/10.4171/zaa/1652","url":null,"abstract":"","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":"54 1","pages":"83-101"},"PeriodicalIF":1.2,"publicationDate":"2020-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82714329","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
Global Bifurcation from Intervals for Problems with Pucci's Operator Pucci算子问题的区间全局分岔
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2020-01-24 DOI: 10.4171/zaa/1651
Hua Luo, Guowei Dai
{"title":"Global Bifurcation from Intervals for Problems with Pucci's Operator","authors":"Hua Luo, Guowei Dai","doi":"10.4171/zaa/1651","DOIUrl":"https://doi.org/10.4171/zaa/1651","url":null,"abstract":"","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":"268 1","pages":"67-81"},"PeriodicalIF":1.2,"publicationDate":"2020-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73253417","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
Fractional $p$-Laplacian Problems with Hardy Terms and Critical Exponents 具有Hardy项和临界指数的分式$p$-Laplace问题
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2019-10-23 DOI: 10.4171/zaa/1647
A. Fiscella, Hadi Mirzaee
{"title":"Fractional $p$-Laplacian Problems with Hardy Terms and Critical Exponents","authors":"A. Fiscella, Hadi Mirzaee","doi":"10.4171/zaa/1647","DOIUrl":"https://doi.org/10.4171/zaa/1647","url":null,"abstract":"","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2019-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/zaa/1647","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43865936","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
Blow-Up Phenomena for the Periodic Two-Component Degasperis–Procesi System 周期双组分脱气过程系统的爆破现象
IF 1.2 3区 数学
Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2019-10-23 DOI: 10.4171/zaa/1646
Xingxing Liu
{"title":"Blow-Up Phenomena for the Periodic Two-Component Degasperis–Procesi System","authors":"Xingxing Liu","doi":"10.4171/zaa/1646","DOIUrl":"https://doi.org/10.4171/zaa/1646","url":null,"abstract":"","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2019-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45764702","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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