搜索结果: 1-10 共查到“代数学 Sobolev”相关记录10条 . 查询时间(0.062 秒)
On mappings in the Orlicz-Sobolev classes
moduli of families of surfaces Sobolev classes Orlicz-Sobolev classes
2011/2/25
First of all, we prove that open mappings in Orlicz-Sobolev classes W 1,'loc under the Calderon type condition on ' have the total differential a.e.
Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus
logarithmic Sobolev inequality sharp constants remainder terms lattice sums
2011/1/20
We give a comprehensive study of interpolation inequalities for periodic functions with zero mean, including the existence of and the asymptotic expansions for the extremals,best constants, various re...
A counterexample for Improved Sobolev Inequalities over the 2-adic group
Sobolev Inequalities the 2-adic group
2010/11/9
On the framework of the 2-adic group Z_2, we study a Sobolev-like inequality where we estimate the L^2 norm by a geometric mean of the BV norm and the Besov space B(-1,\infty,\infty) norm. We first s...
Lagrangian Averaged Navier-Stokes equations with rough data in Sobolev space
Lagrangian Averaged Navier-Stokes equations rough data in Sobolev space
2010/11/15
We prove the existence of short time, low regularity solutions to the incompressible, isotropic Lagrangian Averaged Navier-Stokes equations with initial data in Sobolev spaces. In the special case of...
Logarithmic Sobolev inequality for diffusion semigroups
Logarithmic Sobolev inequality Poincar´ e inequality Ornstein-Uhlenbeck semigroup
2010/12/8
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar´e or logarithmic Sobolev inequalitie...
本文讨论了具有Gauss测度的Sobolev空间上的一元周期函数被三角多项式子空间的最佳逼近及被 Fourier部分和算子, Vall\‘{e}e-Poussin算子, Ces\‘{a}ro算子, Abel算子和Jackson 算子的逼近, 得到了平均误差估计. 证明了在平均框架下, 在$L_q$~($1\le q<\infty$)空间尺度下三角多项式子空间是渐进最优的子空间, 但是在$L_\in...
加权Sobolev空间中的Poincaré不等式
加权的Sobolev空间 Poincaré不等式 嵌入映射
2008/2/11
卷期页码：第27卷 第1期
(2006年1月) P.112
文章编号：1000-0887(2006)01-0112-07
加权Sobolev空间中的Poincaré不等式
王万义1,2,3，孙炯1，郑志明3
1.内蒙古大学 数学系，呼和浩特 010021；2.内蒙古师范大学 数学系，呼和浩特 010022；3.北京大学 数学科学学院，北京 100871
摘要：在加权Sobolov空...
卷期页码：第26卷 第9期
(2005年9月) P.1128
文章编号：1000-0887(2005)09-1128-07
一个抛物型方程侧边值问题的正则逼近解在一类Sobolev空间中的最优误差界
李洪芳，傅初黎，熊向团
兰州大学 数学系，兰州 730000
摘要：逆热传导问题(IHCP)是严重不适定问题，即问题的解(如果存在)不连续依赖于数据．但目前关于逆热传导问题的已有结果主...
本文讨论了非线性Sobolev-Galpern初边值问题, 给出了0$时的长时间收敛性和稳定性的证明
Subdivision algorithm (Stationary or Non-stationary) is one of
the most active and exciting research topics in wavelet analysis
and applied mathematical theory. In multidimensional non-stationary
s...