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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
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...