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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Strichartz estimates for wave equations with a potential in non-trapping exterior domains
斯特里查茨估计 非陷阱外域 波动方程
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2023/4/14
Consider the linear wave equations with a potential outside a compact set with a non-trapping boundary condition. Assuming that the potential satisfies an appropriate decreasing condition and that zer...
Constructing Lyapunov Functions for Nonlinear Delay-Differential Equations using Semidefinite Programming
Delay-Differential Equations Lyapunov Functions
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2015/6/19
The search for a polynomial Lyapunov function proving delay-independent stability of multivariate nonlinear polynomial delay differential equations is approached using semidefinite programming. The fu...
Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
Short pulse equations nonlinear metamaterials
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2010/4/7
We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. In the frequency "band gaps" (where linear electromagnetic w...
PARAMETER-UNIFORM FINITE DIFFERENCE SCHEME FOR A SYSTEM OF COUPLED SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS
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2007/8/7
A coupled system of singularly perturbed convection-diffusionequations is considered. The leading term of each equation ismultiplied by a small positive parameter, but these parameters mayhave differe...