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math.AP2019
Special uniform decay rate of local energy for the wave equation with variable coefficients on an exterior domain
Zhen-Hu Ning, Fengyan Yang, Xiaopeng Zhao
We consider the wave equation with variable coefficients on an exterior domain in (). We are interested in finding a special uniform decay rate of local energy differ…
math.AP2019
Asymptotic behavior of the nonlinear Schrödinger equation on exterior domain
Zhen-Hu Ning
{\bf Abstract} \,\, We consider the following nonlinear Schrödinger equation on exterior domain. \begin{equation} \begin{cases} iu_t+Δ_g u + ia(x)u - |u|^{p-1}u = 0 \qquad (x,t) \i…