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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,...
On the continuity and regularity of convex extensions
continuity regularity of convex extensions
2011/2/28
We study continuity and regularity of convex extensions of functions from a compact set C to its convex hull K = co(C). We show that if C contains the relative boundary of K, and f is a continuous con...
Quasi-periodic solutions with Sobolev regularity of NLS on T^d with a multiplicative potential
Nonlinear Schr¨odinger equation Nash-Moser Theory
2011/1/19
We prove the existence of quasi-periodic solutions for Schr¨odinger equations with a multiplicative potential on Td, d ≥ 1, merely differentiable nonlinearities, and tangential frequencies constrained...
A Vanishing Theorem and Asymptotic Regularity of Powers of Ideal Sheaves
Regularity powers of ideals vanishing theorem.
2010/11/29
Let I be an ideal sheaf on Pn. In the first part of this paper, we bound the asymptotic regularity of powers of I as ps − 3 regIp ps + e,where e is a constant and s is the s-invariant of I. ...