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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The C0 estimate of the cscK equation
cscK方程 C0估计 ABP最大值原理
2023/11/13
We report the work of Chen-Cheng on the existence of cscK metrics. In this talk I will mainly focus on the C0 estimate, which is derived using the ABP maximum principle.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： The C0 estimate of the cscK equation
cscK方程 C0估计 ABP最大值原理
2023/12/11
We report the work of Chen-Cheng on the existence of cscK metrics. In this talk I will mainly focus on the C0 estimate, which is derived using the ABP maximum principle.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A posteriori error estimate for a WG method of H(curl)-elliptic problems
H（卷曲） 椭圆问题 WG方法 后验误差估计
2023/4/23
In this paper, a posteriori error estimate of a weak Galerkin (WG) finite element method for solving H(curl)-elliptic problems is designed and analyzed. Firstly, a WG method for H(curl)-elliptic probl...
CURVATURE PINCHING ESTIMATE AND SINGULARITIES OF THE RICCI FLOW
SINGULARITIES CURVATURE PINCHING ESTIMAT
2015/8/17
In this paper, we first derive a pinching estimate on the traceless Ricci
curvature in term of scalar curvature and Weyl tensor under the Ricci flow. Then
we apply this estimate to study...
An Error Estimate For a Plane Elasticity Problem and The Enhanced Assumed Strain Method
2D-elasticity enhanced strain method shear locking nonconforming element
2012/8/8
The method of enhanced assumed strains (EAS) is a popular tool for avoiding locking
phenomena, e.g., a remedy for shear locking in plane elasticity. We consider bending-dominated
problems and prove ...
Error Estimate of Force-Based Quasicontinuum Method
Quasicontinuum method ghost force convergence accuracy
2012/8/8
We prove that the force-based quasicontinuum method converges uniformly with
痳st order accuracy.
Abstract: For the positive integer $n$, let $f(n)$ denote the number of positive integer solutions $(n_1, n_2, n_3)$ of the Diophantine equation $$ {4\over n}={1\over n_1}+{1\over n_2}+{1\over n_3}. $...
Carleman Estimate for Stochastic Parabolic Equations and Inverse Stochastic Parabolic Problems
Stochastic parabolic equations Carleman estimate conditional stability inverse source problem
2011/9/22
Abstract: In this paper, we establish a global Carleman estimate for stochastic parabolic equations. Based on this estimate, we solve two inverse problems for stochastic parabolic equations. One is co...
Average estimate for additive energy in prime field
Average estimate additive energy prime field Number Theory
2011/9/19
Abstract: Assume that $A\subseteq \Fp, B\subseteq \Fp^{*}$, $\1/4\leqslant\frac{|B|}{|A|},$ $|A|=p^{\alpha}, |B|=p^{\beta}$. We will prove that for $p\geqslant p_0(\beta)$ one has $$\sum_{b\in B}E_{+}...
A decay estimate for a wave equation with trapping and a complex potential
wave equation decay estimate complex potential Analysis of PDEs
2011/9/19
Abstract: In this brief note, we consider a wave equation that has both trapping and a complex potential. For this problem, we prove a uniform bound on the energy and a Morawetz (or integrated local e...
A lower bound on blowup rates for the 3D incompressible Euler equation and a single exponential Beale-Kato-Majda estimate
lower bound blowup rates 3D incompressible Euler exponential Beale-Kato-Majda estimate
2011/8/23
Abstract: We prove a Beale-Kato-Majda criterion for the loss of regularity for solutions of the incompressible Euler equations in $H^{s}(\R^3)$, for $s>\frac52$. Instead of double exponential estimate...
An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities
Interior Gradient Estimate class of Second Order Partial Differential Inequalities
2011/2/22
In this paper, we show a uniform gradient estimate for functions u defined on a domain
in Euclidian space RN which satisfy a system of N second order partial differential inequalities of the followi...
Energy estimate for initial data on a characteristic cone
Energy estimate initial data characteristic cone
2011/3/2
The Einstein equations in wave map gauge are a geometric second order system for a Lorentzian metric. To study existence of solutions of this hyperbolic quasi diagonal system with initial data on a ch...
A new approach to estimate the mix efficiency in data envelopment analysis
Data Envelopment Analysis Mix efficiency
2010/9/26
Recently, in Data Envelopment Analysis (DEA) methodology, there are two type of efficiency measurement; radial and non-radial measure represented by the Charnes-Cooper-Rhodes (CCR) and the slack-based...
On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian
Elliptic equations Dirichlet boundary conditions stability of eigenvalues
2011/2/25
We consider a spectral stability estimate by Burenkov and Lamberti concerning the variation of the eigenvalues of second order uniformly elliptic operators on variable open sets in the N-dimensional e...