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Analysis in Theory and Applications最新文献

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The Non-Degeneracy of Harmonic Structures on Planar Sierpinski Gaskets 平面Sierpinski垫片上谐波结构的非简并性
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su6
global sci
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引用次数: 0
On Sharpening of a Theorem of Ankeny and Rivlin 关于Ankeny和Rivlin定理的锐化
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-2018-0001
global sci
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引用次数: 4
Hausdorff Dimension of a Class of Weierstrass Functions 一类Weierstrass函数的Hausdorff维数
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su8
global sci
{"title":"Hausdorff Dimension of a Class of Weierstrass Functions","authors":"global sci","doi":"10.4208/ata.oa-su8","DOIUrl":"https://doi.org/10.4208/ata.oa-su8","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"9 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73152954","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
Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems 无限维哈密顿系统的Lyapunov中心定理
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su9
global sci
{"title":"Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems","authors":"global sci","doi":"10.4208/ata.oa-su9","DOIUrl":"https://doi.org/10.4208/ata.oa-su9","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"23 1","pages":"295-325"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76931757","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
Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators Hölder有限可微拟周期算子谱测度的连续性Schrödinger
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-0019
Meiying Wang
{"title":"Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators","authors":"Meiying Wang","doi":"10.4208/ata.oa-0019","DOIUrl":"https://doi.org/10.4208/ata.oa-0019","url":null,"abstract":"In the present paper, we prove the 2 -Hölder continuity of spectral measures for the Ck Schrödinger operators. This result is based on the quantitative almost reducibility and an estimate for the growth of the Schrödinger cocycles in [5].","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"6 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79555650","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
Existence and Uniqueness of Solution for a Class of Nonlinear Degenerate Elliptic Equations 一类非线性退化椭圆型方程解的存在唯一性
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-2018-0011
A. C. Cavalheiro
{"title":"Existence and Uniqueness of Solution for a Class of Nonlinear Degenerate Elliptic Equations","authors":"A. C. Cavalheiro","doi":"10.4208/ata.oa-2018-0011","DOIUrl":"https://doi.org/10.4208/ata.oa-2018-0011","url":null,"abstract":"In this work we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations ∆ [ ω1(x)|∆u|∆u + v1(x)|∆u|∆u ] − div [ ω2(x)|∇u|∇u + v2(x)|∇u|∇u ] = f (x)− div(G(x)) in Ω, in the setting of the weighted Sobolev spaces.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"102 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73577029","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
Recent Progress in the $L_p$ Theory for Elliptic and Parabolic Equations with Discontinuous Coefficients 不连续系数椭圆型和抛物型方程的$L_p$理论研究进展
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-0021
global sci
{"title":"Recent Progress in the $L_p$ Theory for Elliptic and Parabolic Equations with Discontinuous Coefficients","authors":"global sci","doi":"10.4208/ata.oa-0021","DOIUrl":"https://doi.org/10.4208/ata.oa-0021","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"4 1","pages":"161-199"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85608607","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
Boundedness of High Order Commutators of Riesz Transforms Associated with Schrodinger Type Operators 薛定谔型算子相关Riesz变换的高阶换易子的有界性
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-2017-0055
global sci
{"title":"Boundedness of High Order Commutators of Riesz Transforms Associated with Schrodinger Type Operators","authors":"global sci","doi":"10.4208/ata.oa-2017-0055","DOIUrl":"https://doi.org/10.4208/ata.oa-2017-0055","url":null,"abstract":"Let L2 = (−∆)2 + V2 be the Schrödinger type operator, where V 6= 0 is a nonnegative potential and belongs to the reverse Hölder class RHq1 for q1 > n/2, n ≥ 5. The higher Riesz transform associated with L2 is denoted by R = ∇2L − 2 2 and its dual is denoted by R∗ = L 1 2 2 ∇2. In this paper, we consider the m-order commutators [bm,R] and [bm,R∗], and establish the (Lp, Lq)-boundedness of these commutators when b belongs to the new Campanato space Λβ(ρ) and 1/q = 1/p−mβ/n.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"30 1","pages":"99-110"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88833686","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 Well-Posedness for the Compressible Nematic Liquid Crystals Flow with Vacuum 可压缩向列液晶在真空中流动的局部适定性
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su2
global sci
{"title":"Local Well-Posedness for the Compressible Nematic Liquid Crystals Flow with Vacuum","authors":"global sci","doi":"10.4208/ata.oa-su2","DOIUrl":"https://doi.org/10.4208/ata.oa-su2","url":null,"abstract":"In this paper we prove the local well-posedness of strong solutions to the compressible nematic liquid crystals flow with vacuum in a bounded domain Ω ⊂ R3.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"85 1","pages":"497-509"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91312735","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
Stability of Viscoelastic Wave Equation with Structural $delta$-Evolution in $mathbb{R}^{n}$ 具有结构$delta$的粘弹性波动方程的稳定性- $mathbb{R}^{n}$的演化
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-2017-0066
A. Beniani
{"title":"Stability of Viscoelastic Wave Equation with Structural $delta$-Evolution in $mathbb{R}^{n}$","authors":"A. Beniani","doi":"10.4208/ata.oa-2017-0066","DOIUrl":"https://doi.org/10.4208/ata.oa-2017-0066","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"55 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77638090","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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