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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：ENERGY, POINTWISE, AND FREE BOUNDARY APPROXIMATION OF THE OBSTACLE PROBLEM FOR NONLOCAL OPERATORS
非局部 算子障碍物 自由边界 近似
2023/4/28
We consider the obstacle problem for a nonlocal elliptic operator, like the integral fractional Laplacian of order $s \in (0,1)$. We derive regularity results in weighted Sobolev spaces, where the wei...
On a Boundary-Value Problem for One Class of Differential Equations of the Fourth Order with Operator Coefficients
Boundary-Value Problem Operator Coefficients Fourth Order Functional Analysis
2011/9/20
Abstract: The boundary-value problem on semi-axis for one class operator-differential equations of the fourth order, the main part of which has the multiple characteristic is investigated in this pape...
On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order
boundary-value problem operator-differential equation Hilbert space self-adjoined operator regular solvability
2011/9/20
Abstract: In this paper the boundary value problem for one class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some lin...
Numerical ranges of companion matrices: flat portions on the boundary
numerical range companion matrix Functional Analysis Algebraic Geometry
2011/9/9
Abstract: Criterion for a companion matrix to have a certain number of flat portions on the boundary of its numerical range is given. The criterion is specialized to the cases of 3-by-3 and 4-by-4 mat...
Boundary values in range spaces of co-analytic truncated Toeplitz operators
Continuation Model spaces Toeplitz operators Truncated Toeplitz operators
2011/2/22
Functions in backward shift invariant subspaces have nice analytic continuation properties outside the spectrum of the inner function defining the space. Inside the spectrum of the inner function.
Constant Scalar Curvature Metrics on Boundary Complexes of Cyclic Polytopes
Regge, Einstein-Hilbert, piecewise
2010/12/7
In [7], a notion of constant scalar curvature metrics on piecewise at manifolds is de ned. Such metrics are candidates for canonical metrics on discrete manifolds. In this paper, we de ne a class of v...
A solution to an open problem for wave equations with generalized Wentzell boundary conditions
2007/7/28
期刊信息
篇名
A solution to an open problem for wave equations with generalized Wentzell boundary conditions
语种
英文
撰写或编译
作者
Ti-Jun Xiao,Jin Liang
第一作者单位
刊物名称
Mathematsche Annalen
页面
Vol. 327, 351-363, 2
出版日...