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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：A family of Monge-Ampère type operators converging to sigma_k, and their Minkowski problems
sigma_k汇聚 蒙日安培型 算子家族 闵可夫斯基问题
2023/4/17
We introduced a new family of translation invariant geometric measures arising from Integral Geometry of convex bodies. These measures are related to a family of new Monge-Ampère type operators conver...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the residual Monge-Ampère mass of plurisubharmonic functions with symmetry
对称性 多次调和函数 残余 蒙日-安培质量
2023/4/13
In this talk, we will study the residual Monge-Ampère mass of a plurisubharmonic function with isolated singularity at the origin in C2. We proved that the residual mass is zero if its Lelong number i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Liouville’s theorem for some Monge-Ampère type equations
蒙日-安培型方程 刘维尔定理 单调准局部质量类型量
2023/4/13
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Monge-Ampère 方程Dirichlet和边界爆破问题解的研究
Monge-Ampère方程 Dirichlet 边界爆破问题解
2023/4/26
在这个报告中，我将介绍我们近些年在Monge-Ampère 方程 Dirichlet 和边界爆破问题解的研究方面所取得的最新成果。主要包括边界爆破解的存在性、全局估计、边界估计、边界渐近行为以及径向解的存在性、多解性。这些成果主要是和华北电力大学张学梅老师合作完成。
A BOOLEAN ACTION OF C(M,U(1)) WITHOUT A SPATIAL MODEL AND A RE-EXAMINATION OF THE CAMERON–MARTIN THEOREM
A BOOLEAN ACTION WITHOUT A SPATIAL MODEL RE-EXAMINATION CAMERON–MARTIN THEOREM
2015/8/17
We will demonstrate that if M is an uncountable compact metric space, then there is an action of the Polish group of all continuous functions from M to U(1) on a separable probability algebra which pr...
将连续性方法与先验估计相结合, 给出并证明了一类一般形式的抛物型Monge-Ampère方程第三初边值问题古典解的存在唯一性。
La formule du caractère et la mesure de Plancherel pour les groupes de Lie résolubles unimodulaires sur un corps p-adique
Metaplectic group Unitary representation Character formula
2011/2/23
We establish a character formula for admissible unitary representations of p-adic almost algebraic solvable groups and we deduce the Plancherel measure in the unimodular case.
On uniqueness of semi-wavefronts (Diekmann-Kaper theory of a nonlinear convolution equation re-visited)
semi-wavefronts Diekmann-Kaper theory
2010/11/22
Motivated by the uniqueness problem for monostable semi-wavefronts, we propose a revised version of the Diekmann and Kaper theory of a nonlinear convolution equation. Our version of the Diekmann-Kape...
For two distinct primes p and l, we investigate the Z_l-cohomology of the Lubin-Tate towers of a p-adic field. We prove that it realizes some version of Langlands and Jacquet-Langlands correspondence...
Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
Convergence parabolic complex Monge-Ampère equation compact Hermitian manifolds
2010/12/14
We prove C1 convergence for suitably normalized solutions of the parabolic complex Monge-
Amp`ere equation on compact Hermitian manifolds. This provides a parabolic proof of a recent
result of Tosat...
Affine stratifications from finite misère quotients
Affine stratifications finite misère quotients
2010/12/3
Given a morphism from an affine semigroup Q to an arbitrary commutative monoid, it is shown that every fiber possesses an affine stratification: a partition into a finite disjoint union of translates ...
Bianchi type II,III and V diagonal Einstein metrics re-visited
diagonal Einstein metrics re-visited minkowskian and euclidean
2010/4/2
We present, for both minkowskian and euclidean signatures, short derivations of the diagonal Einstein metrics for Bianchi type II, III and V. For the first two cases we show the integrability of the g...
Geometries and stabilities of Re-doped Sin(n=1-12) clusters: A density functional investigation
2007/7/28
期刊信息
篇名
Geometries and stabilities of Re-doped Sin(n=1-12) clusters: A density functional investigation
语种
英文
撰写或编译
作者
J G Han,R. Y. Ren,B. Z. Lu
第一作者单位
刊物名称
J. Phys. Chem
页面
A108, 5100-5110(2004
出版日期...