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Quasilinear Schrodinger equations with bounded coefficients 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 10, 页码: 4939-4985
作者:  Jing, Yongtao;  Liu, Haidong;  Zhang, Zhitao
收藏  |  浏览/下载：32/0  |  提交时间：2023/02/07
quasilinear Schrodinger equation  variational method  multiple solutions  sign-changing solutions  
ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
Expansions for distributional solutions of the elliptic equation in two dimensions 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 卷号: 24, 期号: 07, 页码: 27
作者:  Li, Jiayu;  Wan, Fangshu;  Yang, Yunyan
收藏  |  浏览/下载：71/0  |  提交时间：2023/02/07
Asymptotic expansion  Liouville equation  singular solution  
A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 458, 页码: 24
作者:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
收藏  |  浏览/下载：70/0  |  提交时间：2023/02/07
Three-dimensional drift -diffusion model  Averaging technique  Finite element method  Semiconductor device  
Vortex patch problem for steady lake equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 卷号: 63, 期号: 6, 页码: 25
作者:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
收藏  |  浏览/下载：254/0  |  提交时间：2023/02/07
A Nitsche Hybrid Multiscale Method with Non-matching Grids 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 28
作者:  Ming, Pingbing;  Song, Siqi
收藏  |  浏览/下载：143/0  |  提交时间：2022/04/29
Multiscale PDE  Hybrid method  Nitsche variational formulation  Non-matching grid  
Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 315, 页码: 179-199
作者:  Song, Linjie
收藏  |  浏览/下载：122/0  |  提交时间：2022/04/02
Bifurcation  Normalized solutions  Nehari manifold  Pohozaev identity  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
作者:  Gong, Wei;  Tan, Zhiyu;  Zhou, Zhaojie
收藏  |  浏览/下载：154/0  |  提交时间：2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR LICHNEROWICZ EQUATIONS 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2022, 卷号: 317, 期号: 2, 页码: 363-386
作者:  Huang, Pingliang;  Wang, Youde
收藏  |  浏览/下载：50/0  |  提交时间：2023/02/07
gradient estimate  Ricci curvature  Liouville theorem  Harnack inequality  nonlinear elliptic equations  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* * Wei Gong was supported by the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB 41000000), the National Key Basic Research Program (Grant No. 2018YFB0704304) and the National Natural Science Foundation of China (Grant No. 12071468, 11671391). Zhaojie Zhou was supported by the National Natural Science Foundation of China under Grant No. 11971276. 期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 4
作者:  Gong,Wei;  Tan,Zhiyu;  Zhou,Zhaojie
收藏  |  浏览/下载：143/0  |  提交时间：2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality