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SEMICLASSICAL LIMIT OF GROSS-PITAEVSKII EQUATION WITH DIRICHLET BOUNDARY CONDITION 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 1, 页码: 1053-1104
作者:  Gui, Guilong;  Zhang, Ping
收藏  |  浏览/下载：107/0  |  提交时间：2022/04/29
semiclassical limit  Schrodinger equation  boundary layer  successive complementary expansion method  
On the regularity of the maximal function of a BV function 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 300, 页码: 53-79
作者:  Lahti, Panu
收藏  |  浏览/下载：96/0  |  提交时间：2022/04/02
Function of bounded variation  Sobolev function  Non-centered maximal function  Quasicontinuity  Absolute continuity  
THE NUMBER OF POSITIVE SOLUTIONS TO THE BREZIS-NIRENBERG PROBLEM 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 3, 页码: 1947-1985
作者:  Cao, Daomin;  Luo, Peng;  Peng, Shuangjie
收藏  |  浏览/下载：167/0  |  提交时间：2021/04/26
Critical Sobolev exponent  local Pohozaev identity  existence of solutions  exact number of solutions  Green's function  
SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS 期刊论文
ANALYSIS & PDE, 2021, 卷号: 14, 期号: 8, 页码: 2539-2559
作者:  Brue, Elia;  Quoc-Hung Nguyen
收藏  |  浏览/下载：109/0  |  提交时间：2022/04/02
ordinary differential equations with nonsmooth vector fields  continuity equation  transport equation  regular Lagrangian flow  BV function  log-Sobolev space  Bressan's mixing conjecture  
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
Semiclassical states for Choquard type equations with critical growth: critical frequency case 期刊论文
NONLINEARITY, 2020, 卷号: 33, 期号: 12, 页码: 6695-6728
作者:  Ding, Yanheng;  Gao, Fashun;  Yang, Minbo
收藏  |  浏览/下载：144/0  |  提交时间：2021/01/14
critical Choquard equation  semiclassical states  critical frequency  
Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：118/0  |  提交时间：2021/01/14
Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov-Kuznetsov equation in the endpoint space H-1/4 期刊论文
FORUM MATHEMATICUM, 2020, 卷号: 32, 期号: 6, 页码: 1575-1598
作者:  Huo, Zhaohui;  Jia, Yueling
收藏  |  浏览/下载：132/0  |  提交时间：2021/01/14
Well-posedness  Zakharov-Kuznetsov equation  dyadic X-s,X-b  dyadic bilinear estimates  
Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 2, 页码: 379-411
作者:  Li, Bo;  Tang, Shanshan;  Yu, Haijun
收藏  |  浏览/下载：125/0  |  提交时间：2020/05/24
Deep neural network  high dimensional approximation  sparse grids  rectified linear unit  rectified power unit  rectified quadratic unit  
Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 页码: 24
作者:  Huang, Feimin;  Hong, Hakho;  Shi, Xiaoding
收藏  |  浏览/下载：172/0  |  提交时间：2020/05/24
compressible Navier-Stokes-Korteweg system  existence  uniqueness  Van der Waals gas