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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some special cases of the three dimensional Kakeya conjecture and their application to the restriction conjecture
三维Kakeya猜想 特殊情况 限制猜想
2023/5/9
We will discuss two special cases of the three-dimensional Kakeya conjecture: SL_2 Kakeya and a refined Wolff's hairbrush result. As an application of the refined Wolff's hairbrush result, we will dis...
MODULAR FORMS AND SOME CASES OF THE INVERSE GALOIS PROBLEM
MODULAR FORMS SOME CASES INVERSE GALOIS PROBLEM
2015/8/26
We prove new cases of the inverse Galois problem by considering the residual Galois representations arising from a fixed newform. Specific choices of weight 3 newforms will show thatthere are Galois e...
On critical cases of Sobolev's inequalities for Heisenberg groups
Heisenberg group Sobolev's inequality Brezis-Gallouet-Wainger inequality
2011/10/17
This paper deal with the problem of Sobolev imbedding in the critical cases. We prove some Trudinger-type inequalities on the whole Heisenberg group, extending to this context the Euclidean results by...
On critical cases of Sobolev's inequalities for Carnot groups
Carnot group Sobolev's inequality Brezis-Gallouet-Wainger inequality
2011/10/15
In this paper we deal with the problem of Sobolev imbedding in thecritical cases on Carnot groups. We prove some Trudinger-type inequalities on the whole Carnot group, extending to this context the Eu...
Stability of bound states of Hamiltonian PDEs in the degenerate cases
Hamiltonian PDEs degenerate cases Analysis of PDEs
2011/9/14
Abstract: We consider a Hamiltonian systems which is invariant under a one-parameter unitary group. We give a criterion for the stability and instability of bound states for the degenerate case. We ap...
Correctors and Field Fluctuations for the $p_ε(x)$-Laplacian with Rough Exponents: Cases$1 and $1
correctors dispersed media homogenization layered media plaplacian periodic domain power-law materials young measures
2011/9/9
Abstract: A corrector theory for the strong approximation of fields inside composites made from two materials with different power law behavior is provided. The correctors are used to develop bounds o...
Strong-field dipole resonance. I. Limiting analytical cases
population dynamics N-level systems dipolar molecules resonance
2011/3/3
We investigate population dynamics in N-level systems driven beyond the linear regime by a
strong external field, which couples to the system through an operator with nonzero diagonal
elements.
On the edit distance from $K_{2,t}$-free graphs II: Cases $t\geq 5$
edit distance quadratic programming strongly regular graphs
2011/1/18
The edit distance between two graphs on the same vertex set is defined to be size of the symmetric difference of their edge sets. The edit distance function of a hereditary property,
H, is a function...
On the edit distance from $K_{2,t}$-free graphs I: Cases $t=3,4$
edit distance quadratic programming strongly regular graphs
2011/1/18
The edit distance between two graphs on the same vertex set is defined to be size of the symmetric difference of their edge sets. The edit distance function of a hereditary property, H,is a function o...
Almost commuting self-adjoint matrices --- the real and self-dual cases
self-adjoint matrices self-dual cases
2011/2/21
We show that a pair of almost commuting self-adjoint, symmetric ma-trices are close to commuting self-adjoint, symmetric matrices (in a uni-form way).
Some cases of compatibility of the tangency relations of sets
generalized metric space tangency of sets
2009/1/12
In the present paper some cases of the compatibility of the tangency relations
Tli (a; b; k; p), (i = 1; 2) of sets of the classes eMp;k having the Darboux property
at the point p of the metric spac...
$L^p-$Improving Properties for Measures on $\mathbb{R}^{4}$ Supported on Homogeneous Surfaces in Some Non Elliptic Cases
Singular Measures $L^p$-Improving Convolution Operators
2008/7/3
$L^p-$Improving Properties for Measures on $\mathbb{R}^{4}$ Supported on Homogeneous Surfaces in Some Non Elliptic Cases.