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ASYMPTOTIC BEHAVIOR OF BV FUNCTIONS AND SETS OF FINITE PERIMETER IN METRIC MEASURE SPACES 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 11, 页码: 8201-8247
作者:  Eriksson-Bique, Sylvester;  Gill, James T.;  Lahti, Panu;  Shanmugalingam, Nageswari
收藏  |  浏览/下载：99/0  |  提交时间：2022/04/02
Bounded variation  finite perimeter  asymptotic limit  doubling measure  Poincare inequality  least gradient function  
Traces of Newton-Sobolev, Haj lasz-Sobolev, and BV functions on metric spaces 期刊论文
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2021, 卷号: 22, 期号: 3, 页码: 1353-1383
作者:  Lahti, Panu;  Li, Xining;  Wang, Zhuang
收藏  |  浏览/下载：85/0  |  提交时间：2022/04/02
Approximation of BV by SBV functions in metric spaces 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 卷号: 279, 期号: 11, 页码: 33
作者:  Lahti, Panu
收藏  |  浏览/下载：125/0  |  提交时间：2021/01/14
Metric measure space  Special function of bounded variation  Uniform approximation  Variational capacity  
FEDERER'S CHARACTERIZATION OF SETS OF FINITE PERIMETER IN METRIC SPACES 期刊论文
ANALYSIS & PDE, 2020, 卷号: 13, 期号: 5, 页码: 1501-1519
作者:  Lahti, Panu
收藏  |  浏览/下载：170/0  |  提交时间：2020/09/23
metric measure space  set of finite perimeter  Federer's characterization  measure-theoretic boundary  codimension-1 Hausdorff measure  fine topology  
Convergence From Power-Law to Logarithm-Law in Nonlinear Scalar Field Equations 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 卷号: 231, 期号: 1, 页码: 45-61
作者:  Wang, Zhi-Qiang;  Zhang, Chengxiang
收藏  |  浏览/下载：147/0  |  提交时间：2019/03/05
Lipschitzian norm estimate of one-dimensional Poisson equations and applications 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2011, 卷号: 47, 期号: 2, 页码: 450-465
作者:  Djellout, Hacene;  Wu, Liming
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Poisson equations  Transportation-information inequalities  Concentration and isoperimetric inequalities  
Transportation inequalities for stochastic differential equations of pure jumps 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2010, 卷号: 46, 期号: 2, 页码: 465-479
作者:  Wu, Liming
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Transportation inequalities  Stochastic differential equations  Malliavin calculus  
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2008, 卷号: 25, 期号: 1, 页码: 1-41
作者:  Duyckaerts, Thomas;  Zhang, Xu;  Zuazua, Enrique
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
optimality  Meshkov's construction  observability inequality  heat equation  wave equation  potential  Carlenman inequality  decay at infinity  
On Friedrichs-Poincare-type inequalities 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 卷号: 304, 期号: 2, 页码: 542-551
作者:  Zheng, WY;  Qi, H
收藏  |  浏览/下载：73/0  |  提交时间：2018/07/30
Friedrichs-type inequality  Poincare-type inequality  direct proof  Sobolev space  
Mathematical analysis for quadrilateral rotated Q(1) element - II: Poincare inequality and trace inequality 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 卷号: 21, 期号: 3, 页码: 277-286
作者:  Ming, PB;  Shi, ZC
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
quadrilateral rotated Q(1) element  Poincare inequality  trace inequality