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Annales De L Institut Henri Poincare-Analyse Non Lineaire最新文献

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A quantitative stability result for the Prékopa–Leindler inequality for arbitrary measurable functions 任意可测函数的pramokopa - leindler不等式的定量稳定性结果
1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2023-10-23 DOI: 10.4171/aihpc/97
Károly J. Böröczky, Alessio Figalli, João P. G. Ramos
{"title":"A quantitative stability result for the Prékopa–Leindler inequality for arbitrary measurable functions","authors":"Károly J. Böröczky, Alessio Figalli, João P. G. Ramos","doi":"10.4171/aihpc/97","DOIUrl":"https://doi.org/10.4171/aihpc/97","url":null,"abstract":"We prove that if a triplet of functions satisfies almost equality in the Pr'ekopa-Leindler inequality, then these functions are close to a common log-concave function, up to multiplication and rescaling. Our result holds for general measurable functions in all dimensions, and provides a quantitative stability estimate with computable constants.","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135366985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Asymptotic stability for the Dirac–Klein–Gordon system in two space dimensions 二维Dirac-Klein-Gordon系统的渐近稳定性
1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2023-10-23 DOI: 10.4171/aihpc/103
Shijie Dong, Zoe Wyatt
{"title":"Asymptotic stability for the Dirac–Klein–Gordon system in two space dimensions","authors":"Shijie Dong, Zoe Wyatt","doi":"10.4171/aihpc/103","DOIUrl":"https://doi.org/10.4171/aihpc/103","url":null,"abstract":"We study the Dirac--Klein-Gordon system in $1+2$ spacetime dimensions. We show global existence of the solutions, as well as sharp time decay and linear scattering. One key advance is that we provide the first asymptotic stability result for the Dirac--Klein-Gordon system in $1+2$ spacetime dimensions in the case of a massive Klein-Gordon field and a massless Dirac field. The nonlinearities are below-critical in two spatial dimensions, and so our method requires the identification of special structures within the system and novel weighted energy estimates. Another key advance, is that our proof allows us to weaken certain conditions on the nonlinear structures that have been assumed in the literature.","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135413269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Convergence of the Hesse–Koszul flow on compact Hessian manifolds 紧致Hessian流形上Hesse-Koszul流的收敛性
1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2023-10-16 DOI: 10.4171/aihpc/68
Stéphane Puechmorel, Tat Dat Tô
{"title":"Convergence of the Hesse–Koszul flow on compact Hessian manifolds","authors":"Stéphane Puechmorel, Tat Dat Tô","doi":"10.4171/aihpc/68","DOIUrl":"https://doi.org/10.4171/aihpc/68","url":null,"abstract":"We study the long time behavior of the Hesse-Koszul flow on compact Hessian manifolds. When the first affine Chern class is negative, we prove that the flow converges to the unique Hesse-Einstein metric. We also derive a convergence result for a twisted Hesse-Koszul flow on any compact Hessian manifold. These results give alternative proofs for the existence of the unique Hesse-Einstein metric by Cheng-Yau and Caffarelli-Viaclovsky as well as the real Calabi theorem by Cheng-Yau, Delanoe and Caffarelli-Viaclovsky.","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136078198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Gradient flow for $beta$-symplectic critical surfaces $beta$-辛临界曲面的梯度流
1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2023-09-13 DOI: 10.4171/aihpc/100
Xiaoli Han, Jiayu Li, Jun Sun
{"title":"Gradient flow for $beta$-symplectic critical surfaces","authors":"Xiaoli Han, Jiayu Li, Jun Sun","doi":"10.4171/aihpc/100","DOIUrl":"https://doi.org/10.4171/aihpc/100","url":null,"abstract":"","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135740162","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Global weak solutions of the Serre–Green–Naghdi equations with surface tension 具有表面张力的Serre-Green-Naghdi方程的整体弱解
1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2023-09-13 DOI: 10.4171/aihpc/99
Billel Guelmame
{"title":"Global weak solutions of the Serre–Green–Naghdi equations with surface tension","authors":"Billel Guelmame","doi":"10.4171/aihpc/99","DOIUrl":"https://doi.org/10.4171/aihpc/99","url":null,"abstract":"","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134989483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Blowup of two-dimensional attractive Bose–Einstein condensates at the critical rotational speed 临界转速下二维吸引玻色-爱因斯坦凝聚体的爆炸
IF 1.9 1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2023-06-14 DOI: 10.4171/aihpc/94
Van Duong Dinh, Dinh-Thi Nguyen, N. Rougerie
{"title":"Blowup of two-dimensional attractive Bose–Einstein condensates at the critical rotational speed","authors":"Van Duong Dinh, Dinh-Thi Nguyen, N. Rougerie","doi":"10.4171/aihpc/94","DOIUrl":"https://doi.org/10.4171/aihpc/94","url":null,"abstract":"","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77926347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Dispersive estimates for the Schrödinger equation in a model convex domain and applications 模型凸域Schrödinger方程的色散估计及其应用
IF 1.9 1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2023-02-09 DOI: 10.4171/aihpc/75
Oana Ivanovici
{"title":"Dispersive estimates for the Schrödinger equation in a model convex domain and applications","authors":"Oana Ivanovici","doi":"10.4171/aihpc/75","DOIUrl":"https://doi.org/10.4171/aihpc/75","url":null,"abstract":"","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2023-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77016898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Lifting of fractional Sobolev mappings to noncompact covering spaces 非紧覆盖空间上分数Sobolev映射的提升
IF 1.9 1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2023-01-18 DOI: 10.4171/aihpc/98
Jean Van Schaftingen
{"title":"Lifting of fractional Sobolev mappings to noncompact covering spaces","authors":"Jean Van Schaftingen","doi":"10.4171/aihpc/98","DOIUrl":"https://doi.org/10.4171/aihpc/98","url":null,"abstract":"Given compact Riemannian manifolds $mathcal{M}$ and $mathcal{N}$, a Riemannian covering $pi : smash{widetilde{mathcal{N}}} to mathcal{N}$ by a noncompact covering space $smash{widetilde{mathcal{N}}}$, $1<p<infty$ and $0<s<1$, the space of liftings of fractional Sobolev maps in $smash{dot{W}^{s, p}} (mathcal{M}, mathcal{N})$ is characterized when $sp>1$ and an optimal nonlinear fractional Sobolev estimate is obtained when moreover $sp ge dim mathcal{M}$. A nonlinear characterization of the sum of spaces $smash{dot{W}^{s, p}} (mathcal{M}, mathbb{R}) + smash{dot{W}^{1, sp}} (mathcal{M}, mathbb{R})$ is also provided.","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89158885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
On the sharp scattering threshold for the mass–energy double critical nonlinear Schrödinger equation via double track profile decomposition 双径线分解质能双临界非线性Schrödinger方程的尖锐散射阈值
IF 1.9 1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2023-01-13 DOI: 10.4171/aihpc/71
Yongming Luo
{"title":"On the sharp scattering threshold for the mass–energy double critical nonlinear Schrödinger equation via double track profile decomposition","authors":"Yongming Luo","doi":"10.4171/aihpc/71","DOIUrl":"https://doi.org/10.4171/aihpc/71","url":null,"abstract":"","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84266069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 symmetric div-quasiconvex hulls and divsym-free $L^infty$-truncations 对称div-拟凸壳和无div- $L^infty$ -截断
IF 1.9 1区 数学
Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2022-12-08 DOI: 10.4171/aihpc/66
Linus Behn, F. Gmeineder, Stefanie Schiffer
{"title":"On symmetric div-quasiconvex hulls and divsym-free $L^infty$-truncations","authors":"Linus Behn, F. Gmeineder, Stefanie Schiffer","doi":"10.4171/aihpc/66","DOIUrl":"https://doi.org/10.4171/aihpc/66","url":null,"abstract":"","PeriodicalId":55514,"journal":{"name":"Annales De L Institut Henri Poincare-Analyse Non Lineaire","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82232267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
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