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Endpoint Sobolev Theory for the Muskat Equation 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 60
作者:  Alazard, Thomas;  Quoc-Hung Nguyen
收藏  |  浏览/下载：51/0  |  提交时间：2023/02/07
LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 5, 页码: 2269-2283
作者:  Cao, Daomin;  Qin, Guolin
收藏  |  浏览/下载：159/0  |  提交时间：2021/04/26
Fractional Laplacians  Henon-Lane-Emden systems  decay estimates  higher-order fractional Laplacians  Lionville type theorems  
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators 期刊论文
NATURE MACHINE INTELLIGENCE, 2021, 卷号: 3, 期号: 3, 页码: 218-+
作者:  Lu, Lu;  Jin, Pengzhan;  Pang, Guofei;  Zhang, Zhongqiang;  Karniadakis, George Em
收藏  |  浏览/下载：205/0  |  提交时间：2021/06/01
Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces 期刊论文
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 页码: 49
作者:  Lunardi, Alessandra;  Rockner, Michael
收藏  |  浏览/下载：135/0  |  提交时间：2021/04/26
CLASSIFICATION OF NONNEGATIVE SOLUTIONS TO STATIC SCHRODINGER-HARTREE-MAXWELL TYPE EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 2, 页码: 1379-1410
作者:  Dai, Wei;  Liu, Zhao;  Qin, Guolin
收藏  |  浏览/下载：130/0  |  提交时间：2021/10/26
higher-order fractional Laplacians  Schrodinger-Hartree-Maxwell equations  classification of nonnegative solutions  super poly-harmonic properties  nonlocal nonlinearities  the method of moving spheres  
Reflected symmetric alpha-stable processes and regional fractional Laplacian 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2006, 卷号: 134, 期号: 4, 页码: 649-694
作者:  Guan, QY;  Ma, ZM
收藏  |  浏览/下载：158/0  |  提交时间：2018/07/30
reflected symmetric alpha-stable process  regional fractional Laplacian  integration by parts formula  semi-martingale decomposition  
Boundary problems for fractional Laplacians 期刊论文
STOCHASTICS AND DYNAMICS, 2005, 卷号: 5, 期号: 3, 页码: 385-424
作者:  Guan, QY;  Ma, ZM
收藏  |  浏览/下载：142/0  |  提交时间：2018/07/30
reflected alpha-stable processes  fractional Laplacian  Feynman-Kac semigroup  boundary value problem