搜索结果: 1-15 共查到“偏微分方程”相关记录99条 . 查询时间(4.25 秒)
上海科技大学数学科学研究所岳海天教授与合作者最近的两项研究成果分别发表于《数学年鉴》(Annals of Mathematics) 和《数学新进展》(Inventiones Mathematicae)，相继彻底解决了色散方程领域悬而未决近三十年的两个难题：二维高阶非线性薛定谔方程和三维三阶非线性波方程下的吉布斯测度不变性问题。
一类二维双曲混沌偏微分系统的可观性与观测器
二维双曲混沌 偏微分系统 可观性 观测器
2023/12/13
This paper is concerned with both observability and observers for a class of systems described by the two-dimensional hyperbolic PDEs with superlinear boundary conditions which can exhibit chaos. The ...
随机退化抛物方程的两类多目标问题
随机退化 抛物方程 两类多目标问题
2023/12/13
This paper is devoted to studying two multiobjective problems for stochastic degenerate parabolic equations. The first one is a hierarchical control problem, in which the controls are classified into ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Sobolev extensions"(7)&(8)
Sobolev扩展 Whitney扩展 技术变体
2023/11/29
I will give an introduction to Sobolev extensions, including the use of variants of the Whitney extension technique. I will concentrate on the basics of the theory.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Laplacian estimates for the cscK equation
cscK方程 拉普拉斯估计 Nash-Moser迭代
2023/11/29
We will report Chen-Cheng’s work on cscK equations. We derive the Laplacian bound using Nash-Moser iteration.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Inverse problems for elliptic PDE" (8)
椭圆偏微分方程 反问题 Calderón问题
2023/11/29
This course will give an introduction to inverse problems for elliptic partial differential equations. The most famous example of such problems is the Calderón problem, which arises in seismic and med...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analytic smoothing effect of a class of ultra-parabolic equations
一类超抛物型方程 解析 光滑效应
2023/11/29
We study a class of ultra-parabolic equations, it is a high order degenerate parabolic operators of Hormander type, so it is strongly degenerate, but we prove that this class operators possesses the a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Inverse problems for elliptic PDE" (7)
椭圆偏微分方程 反问题 Calderón问题
2023/11/29
This course will give an introduction to inverse problems for elliptic partial differential equations. The most famous example of such problems is the Calderón problem, which arises in seismic and med...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：C1,1/3- very weak solutions to the two dimensional Monge–Ampère equation
二维 Monge–Ampère方程 C1,1/3极弱解
2023/11/29
For any θ<1/3 , we show that very weak solutions to the two-dimensional Monge–Ampère equation with regularity C1,θ are dense in the space of continuous functions. This result is shown by a convex inte...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Sobolev extensions"(5)&(6)
Sobolev扩展 Whitney扩展 技术变体
2023/11/29
I will give an introduction to Sobolev extensions, including the use of variants of the Whitney extension technique. I will concentrate on the basics of the theory.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An inverse Lax-Wendroff procedure for finite difference schemes on the Cartesian grids
笛卡尔网格 有限差分格式 Lax-Wendroff逆过程
2023/11/13
In this talk, we introduce the so-called inverse Lax-Wendroff (ILW) boundary treatment for finite difference approximations on the Cartesian mesh. As the domain boundary may intersect with the grid in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：New revival phenomena for bidirectional dispersive hyperbolic equations
双向离散 双曲型方程 新复活现象
2023/11/13
In this talk, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and discontinuous initial profile...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：VC-PINN: variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient
VC-PINN 变系数 偏微分方程 正逆问题 变系数物理 知情神经网络
2023/11/13
The talk proposes a deep learning method specifically dealing with the forward and inverse problem of variable coefficient partial differential equations-Variable Coefficient Physics-Informed Neural N...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long-time asymptotics of soliton equations via the nonlinear steepest descent method
非线性 最速下降法 孤立子方程 长时间渐近性
2023/11/13
Based on the matrix block technique, the Deift-Zhou nonlinear steepest descent method is developed in order to study the asymptotic analysis of solutions of some nonlinear evolution equations associat...
求解偏微分方程的预处理迭代方法是计算数学近四十年的一个热门研究方向， 这一方法得以成功的关键是有效预条件子的构造。有效预条件子的构造和分析是技巧性很强的工作， 尤其是对于具强间断系数的偏微分方程， 比如对此情形多层网格预条件子和重叠区域分解预条件子的最优收敛性在理论上一直没有彻底弄清楚。在2007年R. Hiptmair和J. Xu对麦克斯韦方程提出了“辅助空间预条件子”， 这种预条件子曾引起国际...