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Tunisian Journal of Mathematics最新文献

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On summability of nonlinear operators 论非线性算子的求和性
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2024-01-20 DOI: 10.2140/tunis.2024.6.115
Daniel Pellegrino, Joedson Santos
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引用次数: 0
On Poisson transforms for spinors 关于旋量的泊松变换
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2023-11-21 DOI: 10.2140/tunis.2023.5.771
S. Ben Saïd, A. Boussejra, K. Koufany
{"title":"On Poisson transforms for spinors","authors":"S. Ben Saïd, A. Boussejra, K. Koufany","doi":"10.2140/tunis.2023.5.771","DOIUrl":"https://doi.org/10.2140/tunis.2023.5.771","url":null,"abstract":". Let ( τ, V τ ) be a spinor representation of Spin( n ) and let ( σ, V σ ) be a spinor representation of Spin( n − 1) that occurs in the restriction τ | Spin( n − 1) . We consider the real hyperbolic space H n ( R ) as the rank one homogeneous space Spin 0 (1 , n ) / Spin( n ) and the spinor bundle Σ H n ( R ) over H n ( R ) as the homogeneous bundle Spin 0 (1 , n ) × Spin( n ) V τ . Our aim is to characterize eigenspinors of the algebra of invariant differential operators acting on Σ H n ( R ) which can be written as the Poisson transform of L p -sections of the bundle Spin( n ) × Spin( n − 1) V σ over the boundary S n − 1 ≃ Spin( n ) / Spin( n − 1) of H n ( R ).","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139253017","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
Nonflat conformal blow-up profiles for the 1-dimensional critical nonlinear Schrödinger equation 一维临界非线性Schrödinger方程的非平坦保形爆破剖面
Tunisian Journal of Mathematics Pub Date : 2023-11-02 DOI: 10.2140/tunis.2023.5.505
Yvan Martel, Ivan Naumkin
{"title":"Nonflat conformal blow-up profiles for the 1-dimensional critical nonlinear Schrödinger equation","authors":"Yvan Martel, Ivan Naumkin","doi":"10.2140/tunis.2023.5.505","DOIUrl":"https://doi.org/10.2140/tunis.2023.5.505","url":null,"abstract":"","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135973543","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
An explicit formula for the Benjamin–Ono equation Benjamin-Ono方程的显式公式
Tunisian Journal of Mathematics Pub Date : 2023-11-02 DOI: 10.2140/tunis.2023.5.593
Patrick Gérard
{"title":"An explicit formula for the Benjamin–Ono equation","authors":"Patrick Gérard","doi":"10.2140/tunis.2023.5.593","DOIUrl":"https://doi.org/10.2140/tunis.2023.5.593","url":null,"abstract":"We establish an explicit formula for the general solution of the Benjamin-Ono equation on the torus and on the line. Contents 1. Introduction 1 1.1. The Benjamin-Ono equation 1 1.2. The Lax pair 2 1.3. The explicit formula on the torus 3 1.4. The explicit formula on the line 3 1.5. Organization of the paper 4 2. Proof of the explicit formula on the torus 4 3. Proof of the explicit formula on the line 6 4. Final remarks 8 References 9","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135934196","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: 10
Lifting N∞ operads from conjugacy data 从共轭数据中提升N∞操作
Tunisian Journal of Mathematics Pub Date : 2023-11-02 DOI: 10.2140/tunis.2023.5.479
Scott Balchin, Ethan MacBrough, Kyle Ormsby
{"title":"Lifting N∞ operads from conjugacy data","authors":"Scott Balchin, Ethan MacBrough, Kyle Ormsby","doi":"10.2140/tunis.2023.5.479","DOIUrl":"https://doi.org/10.2140/tunis.2023.5.479","url":null,"abstract":"We isolate a class of groups -- called lossless groups -- for which homotopy classes of $G$-$N_infty$ operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes $operatorname{Sub}(G)/G$.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135934194","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
Singularities of normal quartic surfaces, III : char = 2, nonsupersingular 正规四次曲面的奇异性，III: char = 2，非超奇异
Tunisian Journal of Mathematics Pub Date : 2023-11-02 DOI: 10.2140/tunis.2023.5.457
Fabrizio Catanese, Matthias Schütt
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引用次数: 0
Cartier transform and prismatic crystals 卡地亚变换晶体和棱镜晶体
Tunisian Journal of Mathematics Pub Date : 2023-11-02 DOI: 10.2140/tunis.2023.5.405
Michel Gros, Bernard Le Stum, Adolfo Quirós
{"title":"Cartier transform and prismatic crystals","authors":"Michel Gros, Bernard Le Stum, Adolfo Quirós","doi":"10.2140/tunis.2023.5.405","DOIUrl":"https://doi.org/10.2140/tunis.2023.5.405","url":null,"abstract":"We show that the abstract equivalence of categories, called Cartier transform, between crystals on the q-crystalline and prismatic sites can be locally identified with the explicit local q-twisted Simpson correspondence. This establishes four equivalences that are all compatible with the relevant cohomology theories. We restrict ourselves for simplicity to the dimension one situation.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135874771","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
Nonlinear enhanced dissipation and inviscid damping for the 2D Couette flow 二维Couette流的非线性增强耗散和无粘阻尼
Tunisian Journal of Mathematics Pub Date : 2023-11-02 DOI: 10.2140/tunis.2023.5.573
Dongyi Wei, Zhifei Zhang
{"title":"Nonlinear enhanced dissipation and inviscid damping for the 2D Couette flow","authors":"Dongyi Wei, Zhifei Zhang","doi":"10.2140/tunis.2023.5.573","DOIUrl":"https://doi.org/10.2140/tunis.2023.5.573","url":null,"abstract":"","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135973268","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
Estimations polynomiales pour les problèmes de transmission sur des domaines à bords plats 平边域上传输问题的多项式估计
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2022-12-31 DOI: 10.2140/tunis.2022.4.755
Hassan Mohsen, Simon Labrunie, Victor Nistor
{"title":"Estimations polynomiales pour les problèmes de transmission sur des domaines à bords plats","authors":"Hassan Mohsen, Simon Labrunie, Victor Nistor","doi":"10.2140/tunis.2022.4.755","DOIUrl":"https://doi.org/10.2140/tunis.2022.4.755","url":null,"abstract":"","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47862993","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
Microlocal partition of energy for linear wave orSchrödinger equations 线性波或Schrödinger方程能量的微局部分配
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2022-08-24 DOI: 10.2140/tunis.2022.4.329
Jean-Marc Delort
{"title":"Microlocal partition of energy for linear wave or\u0000Schrödinger equations","authors":"Jean-Marc Delort","doi":"10.2140/tunis.2022.4.329","DOIUrl":"https://doi.org/10.2140/tunis.2022.4.329","url":null,"abstract":"We prove a microlocal partition of energy for solutions to linear half-wave or Schrödinger equations in any space dimension. This extends well-known (local) results valid for the wave equation outside the wave cone, and allows us in particular, in the case of even dimension, to generalize the radial estimates due to Côte, Kenig and Schlag to non radial initial data. 0 Introduction The goal of this paper is to revisit the property of space partition of energy when time goes to infinity for solutions of linear wave equations that has been uncovered by Duyckaerts, Kenig and Merle [6, 7] in odd dimensions and by Côte, Kenig and Schlag [4] in even dimensions, and to extend it to other dispersive equations. Recall that if w solves the linear wave equation on R× Rd (∂ t −∆x)w = 0 w|t=0 = w0 ∂tw|t=0 = w1 and if one defines the energy at time t outside the wave cone by (1) E(w0, w1, t) = ∫ |x|>|t| [ |∂tw(t, x)| + |∇xw(t, x)| ] dx, then it has been proved in [6, 7] that, if d is odd, either ∀t ≥ 0, E(w0, w1, t) ≥ 1 2 [ ‖w1‖L2 + ‖∇xw0‖ 2 L2 ] or ∀t ≤ 0, E(w0, w1, t) ≥ 1 2 [ ‖w1‖L2 + ‖∇xw0‖ 2 L2 ] . (2) 2020 Mathematics Subject Classification: 35L05, 35Q41.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49223404","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: 4
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