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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...
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...
Legendre Pairs are combinatorial objects with a rich 20+ years history. Their main application is that they furnish a structured form of the Hadamard conjecture and they have been studied by several a...
Equidistribution is an important theme in number theory. The Sato-Tate conjecture, which was established by Richard Taylor et.al. in 2008, asserts that given an elliptic curve over Q without complex m...
简介椭圆型方程正则性的基本结果,综述弱正则数据下其方程解的Calderon-Zygmund估计和Schauder估计的基本方法和近期进展,分析非线性椭圆方程组的部分正则性和处处正则问题,介绍我们在有关问题上的一些研究。
简介椭圆型方程正则性的基本结果,综述弱正则数据下其方程解的Calderon-Zygmund估计和Schauder估计的基本方法和近期进展,分析非线性椭圆方程组的部分正则性和处处正则问题,介绍我们在有关问题上的一些研究。
We study a Monge-Ampère type equation which interpolates the sigma_2-Yamabe equation in conformal geometry and the 2-Hessian equation. In dimension 4, we prove a corresponding Liouville’s theorem. Our...
Quasi-elliptic cohomology is closely related to Tate K-theory. It is constructed as an object both reflecting the geometric nature of elliptic curves and more practicable to study than most elliptic c...
An elliptic cohomology theory is an even periodic multiplicative generalized cohomology theory whose associated formal group is the formal completion of an elliptic curve. It is at the intersection of...
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...
The regularity estimates have well-established for second-order elliptic and parabolic equations, as well as for equations with stable-like non-local operators. Whether similar results hold for non-lo...
We prove the Holder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with non-positive curvature, and more generally into a non-positively curved...
In this talk, we consider nontrivial solutions of a quasilinear elliptic system with the weight functions h(x) and f_i (x) (i = 1, 2) by applying the Nehari manifold method along with the fibrering ma...
Multiscale phenomena significantly impact on the computation and modeling for scientific and engineering problems. Multiscale finite element methods are used to build reduced order computational model...
2005年7月4日至8日,第二届华东偏微分方程会议在华东师范大学数学系举行。国内外偏微分方程,特别是椭圆/抛物型方程及相关学科的专家、学者共同介绍、研讨了各自研究领域的新进展和新动向,加强了彼此间的交流合作。会议过程中,专家学者们的学术讨论非常热烈,每个报告人汇报完毕后,大家都会提出问题进行探讨。

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