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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The regularity with respect to domains of the additive eigenvalues of super-quadratic Hamilton-Jacobi equation
超二次 哈密尔顿-雅可比方程 加性特征值域 规律性
2023/4/27
Viewingtheadditiveeigenvaluesasamapwithrespecttodomainperturbationbyscal- ing, we show that this map enjoys some regularity. Precisely, let c(λ) be the additive eigenvalue with respect to (1 + r(λ))Ω,...
Perturbations of embedded eigenvalues for the planar bilaplacian
Perturbations of embedded eigenvalues planar bilaplacian
2010/11/29
Operators on unbounded domains may acquire eigenvalues that are embedded in the essential spectrum.Determining the fate of these embedded eigenvalues under small perturbations of the underlying operat...
Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices
Fluctuations of the extreme eigenvalues finite rank deformations of random matrices
2010/11/26
Consider a deterministic self-adjoint matrix Xn with spectral measure converging to a compactly supported probability measure, the largest and smallest eigenvalues converging to the edges of the limit...
Generalized Eigenvalue Problems with Prespecified Eigenvalues
Pencils eigenvalues optimization of singular values inverse eigenvalue
2010/12/3
We consider the distance from a pencil AB (square or non-square) to the nearest
pencil (A + A) B in 2-norm that has the prespeci ed eigenvalues 1; : : : ; ` with
algebraic...