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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fourier analysis on finite abelian groups and the uncertainty principles
有限阿贝尔群 傅里叶分析 不确定性原理
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2023/4/18
Let G be a finite abelian group. If f: G → C is a nonzero function with Fourier transform f , the Donoho-Stark uncertainty principle states that|supp(f)||supp(f )|≥|G|. The purpose of this talk is two...
Group Analysis of Born-Infeld Equation
Born-Infeld theory Lie symmetry Partial differential equation
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2010/12/14
Lie symmetry group method is applied to study the Born-Infeld equation. The symmetry group and its optimal syste are given, and group invariant solutions associated to the symmetries are obtained. Fin...
Asymptotic Analysis of Singularly Perturbed Abstract Evolution Equations in Banach and Hilbert Spaces
Singular Perturbation Asymptotic Expansion Banach space semigroup evolution equation Initial Layer Corrector radiative transfer neutron transport
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2010/3/1
In the current paper, we are concerned with the study of abstract linear evolution equations in Banach spaces in which the time derivative term is multiplied by a small parameter, say e. Such equation...