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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Exponential decay of intersection volume and applications
交叉体积 指数衰减 公制空间
2023/4/23
When two balls in a metric space have small intersection? We give some natural conditions to guarantee an exponential decay on the volume of such intersections. Our proof is conceptually simple, makin...
Exponential decay for the fragmentation or cell-division equation
Exponential decay fragmentation cell-division equation
2015/7/14
We consider a classical integro-differential equation that arises in various applications as a model for cell-division or fragmentation. In biology, it describes the evolution of the density of cells ...
Linear independence of time-frequency translates of functions with faster than exponential decay
Gabor system exponential decay HRT conjecture linear independence timefrequency translates analytic zero divisor conjecture
2012/6/29
We establish the linear independence of time-frequency translates for functions $f$ having one sided decay $\lim_{x\to \infty} |f(x)| e^{cx \log x} = 0$ for all $c>0$. We also prove such results for f...
Exponential decay for nonlinear problem in non cylindrical domain
Exponential decay nonlinear problem cylindrical domain
2010/9/25
Exponential decay for nonlinear problem in non cylindrical domain.
Exponential decay of dispersion managed solitons for vanishing average dispersion
Gabitov-Turitsyn equation dispersion managed NLS exponential decay
2010/12/8
We show that any L2 solution of the Gabitov-Turitsyn equation de-scribing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov’s c...
Exponential decay of semigroups for second order non-selfadjoint linear differential equations
Accretive operator sectorial operator C0-semigroup
2011/1/20
The Cauchy problem for second order linear differential equation u′′(t) + Du′(t) + Au(t) = 0
in Hilbert space H with a sectorial operator A and an accretive operator D is studied. Sufficient conditio...