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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："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...
第一届全国PDE博士生论坛顺利召开（图）
第一届 全国 PDE博士生 论偏微分方程
2018/11/15
2018年11月10日-11日，第一届全国PDE博士生论坛在复旦大学举行。中国科学院院士洪家兴、陈恕行、江松和来自北京大学、清华大学、中国人民大学、浙江大学、中国科学技术大学、上海交通大学、南京大学、中山大学、厦门大学、四川大学、武汉大学、中国科学院数学与系统科学研究院、德国莱比锡大学、香港科技大学等国内外高校和研究院所的近百位专家学者和研究生参加论坛。复旦大学研究生院常务副院长吴宏翔老师，复旦大...
2017年流体和等离子体中的偏微分方程模型和非线性研讨会（PDE Models and Nonlinear Waves in Fluids and Plasmas Workshop）
2017年 流体和等离子体中的偏微分方程模型和非线性 研讨会
2017/11/24
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE’s with a Small Parameter
Quasi linear parabolic equations parameters quasi linear initial boundary value
2015/9/28
In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time beh...
Averaging principle for quasi-linear parabolic PDE’s and related diffusion processes
Quasi linear disturbance two dimensional flow parabola and small parameter
2015/9/28
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDE’s with a small parameter at the second order derivatives are considered in th...
On a fully non-linear elliptic PDE in conformal geometry
Fully nonlinear PDE generalized Yamabe problem
2014/4/3
We give an expository survey on the subject of the Yamabe-type problem and applications. With a recent technique in hand, we also present a simplified proof of the result by Chang-Gursky-Yang on...
Consistency Analysis of Finite Difference Approximations to PDE Systems
systems of partial differential equations involution Thomas decomposition finite difference approximations consistency
2011/9/16
Abstract: In the given paper we consider finite difference approximations to systems of polynomially-nonlinear partial differential equations whose coefficients are rational functions over rationals i...
Sharp estimates involving $A_\infty$ and $LlogL$ constants, and their applications to PDE
A1 weights RH1 weights Reverse Holder condition sharp estimates elliptic PDE
2011/8/31
Abstract: It is a well known fact that the union of the Reverse H\"{o}lder classes coincides with the union of the Muckenhoupt classes $A_p$, but the $A_\infty$ constant of the weight $w$, which is a ...
A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi Equations
Large-time Behavior Hamilton-Jacobi Equations Initial-Boundary Value Problem
2011/1/18
We investigate the large-time behavior of three types of initial-boundary value problems for Hamilton-Jacobi Equations with nonconvex Hamiltonians.
Exotic Heat PDE's.II
Integral bordisms in PDE’s Existence of local and global solutions in PDE’s Conservation laws
2010/11/30
Exotic heat equations that allow to prove the Poincar´e conjecture and its generalizations to any dimension are considered. The methodology used is the PDE’s algebraic topology, introduced by A....
On quasiconformal selfmappings of the unit disk and elliptic PDE in the plane
Quasiconformal maps Beltrami equation Elliptic PDE Lipschitz condition
2010/11/30
In this paper we prove the following theorem: if w is a quasiconformal mapping of the unit disk onto itself satisfying elliptic partial differential inequality |L[w]| ≤ B|∇w|2 + , then...
Spectral Methods in PDE
Spectral Methods PDE
2010/11/30
This is to review some recent progress in PDE. The emphasis is on (energy)supercritical nonlinear Schr¨odinger equations. The methods are applicable to other nonlinear equations.