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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlocal Filtration Equations on the Heisenberg group
海森堡群 非局部 滤波方程
2023/4/28
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Nonlocal Filtration Equations on the Heisenberg group
海森堡群 非局部 滤波方程
2023/5/4
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Sharp constants in several inequalities on the Heisenberg group
Sharp constants in several inequalities Heisenberg group
2010/12/1
We derive the sharp constants for the inequalities on the Heisenberg group Hn whose analogues on Euclidean space Rn are the well known Hardy-Littlewood- Sobolev inequalities. Only one special case had...
Intersections of intrinsic submanifolds in the Heisenberg group
Heisenberg group intrinsic regular surfaces implicit function theorem
2010/12/14
In the first Heisenberg group, we show that the intersection of two intrinsic submanifolds with linearly independent horizontal normals locally coincides with the image of an injective continuous curv...
Global Poincar′e inequalities on the Heisenberg group and applications
Heisenberg group Sobolev inequalities Poincar\'e inequalities best constants
2007/12/11
Let $f$ be in the localized nonisotropic Sobolev space $W_{\rm loc}^{1,p}(\Bbb H^n) $ on the $n$-dimensional Heisenberg group $\Bbb H^n=\Bbb C^n\times \Bbb R$, where $1\leq p is the h...