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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
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浏览/下载:3/0
  |  
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
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浏览/下载:3/0
  |  
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
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  |  
浏览/下载:35/0
  |  
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
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浏览/下载:2/0
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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
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浏览/下载:2/0
  |  
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
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浏览/下载:6/0
  |  
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
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浏览/下载:15/0
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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
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浏览/下载:3/0
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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
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浏览/下载:15/0
  |  
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
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浏览/下载:46/0
  |  
提交时间:2020/05/24
compressible Navier-Stokes-Korteweg system
existence
uniqueness
Van der Waals gas
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