Annals of Pde最新文献_第10页

Coordinates at Small Energy and Refined Profiles for the Nonlinear Schrödinger Equation 非线性Schrödinger方程的小能量坐标和精细轮廓

IF 2.8 1区数学

Annals of Pde Pub Date : 2021-07-20 DOI: 10.1007/s40818-021-00105-2

Scipio Cuccagna, Masaya Maeda

引用次数: 12

Stability of Solitary Waves for the Modified Camassa-Holm Equation 修正Camassa-Holm方程孤立波的稳定性

IF 2.8 1区数学

Annals of Pde Pub Date : 2021-06-05 DOI: 10.1007/s40818-021-00104-3

Ji Li, Yue Liu

引用次数: 5

Stability of Vacuum for the Boltzmann Equation with Moderately Soft Potentials 中等软势Boltzmann方程的真空稳定性

IF 2.8 1区数学

Annals of Pde Pub Date : 2021-06-05 DOI: 10.1007/s40818-021-00103-4

Sanchit Chaturvedi

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引用次数: 9

Solvability of a Class of Singular Fourth Order Equations of Monge–Ampère Type 一类Monge–Ampère型奇异四阶方程的可解性

IF 2.8 1区数学

Annals of Pde Pub Date : 2021-05-27 DOI: 10.1007/s40818-021-00102-5

Nam Q. Le, Bin Zhou

引用次数: 3

Self-intersecting Interfaces for Stationary Solutions of the Two-Fluid Euler Equations 两类流体Euler方程平稳解的自相交界面

IF 2.8 1区数学

Annals of Pde Pub Date : 2021-04-10 DOI: 10.1007/s40818-021-00101-6

Diego Córdoba, Alberto Enciso, Nastasia Grubic

引用次数: 6

Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics 矩映射、非线性PDE和镜像对称中的稳定性，I：大地测量学

IF 2.8 1区数学

Annals of Pde Pub Date : 2021-04-08 DOI: 10.1007/s40818-021-00100-7

Tristan C. Collins, Shing-Tung Yau

{"title":"Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics","authors":"Tristan C. Collins, Shing-Tung Yau","doi":"10.1007/s40818-021-00100-7","DOIUrl":"10.1007/s40818-021-00100-7","url":null,"abstract":"<div>In this paper, the first in a series, we study the deformed Hermitian–Yang–Mills (dHYM) equation from the variational point of view as an infinite dimensional GIT problem. The dHYM equation is mirror to the special Lagrangian equation, and our infinite dimensional GIT problem is mirror to Thomas’ GIT picture for special Lagrangians. This gives rise to infinite dimensional manifold ({mathcal {H}}) closely related to Solomon’s space of positive Lagrangians. In the hypercritical phase case we prove the existence of smooth approximate geodesics, and weak geodesics with (C^{1,alpha }) regularity. This is accomplished by proving sharp with respect to scale estimates for the Lagrangian phase operator on collapsing manifolds with boundary. As an application of our techniques we give a simplified proof of Chen’s theorem on the existence of (C^{1,alpha }) geodesics in the space of Kähler metrics. In two follow up papers, these results will be used to examine algebraic obstructions to the existence of solutions to dHYM [26] and special Lagrangians in Landau–Ginzburg models [27].</div>","PeriodicalId":36382,"journal":{"name":"Annals of Pde","volume":"7 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2021-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40818-021-00100-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50461086","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: 50

A Sufficient Condition for Asymptotic Stability of Kinks in General (1+1)-Scalar Field Models 一般（1+1）-标量场模型中Kinks渐近稳定的一个充分条件

IF 2.8 1区数学

Annals of Pde Pub Date : 2021-04-08 DOI: 10.1007/s40818-021-00098-y

Michał Kowalczyk, Yvan Martel, Claudio Muñoz, Hanne Van Den Bosch

引用次数: 6

Asymptotic decay for defocusing semilinear wave equations in (mathbb {R}^{1+1}) 在（mathbb｛R｝^｛1+1｝）中的离焦双线性波动方程的渐近衰减

IF 2.8 1区数学

Annals of Pde Pub Date : 2021-04-05 DOI: 10.1007/s40818-021-00096-0

Dongyi Wei, Shiwu Yang

引用次数: 3

Non-uniqueness for the Euler Equations up to Onsager’s Critical Exponent 达到Onsager临界指数的Euler方程的非唯一性