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- W2329091197 abstract "We consider the inverse problem of determining a time-dependent damping coefficient $a$ and a time-dependent potential $q$, appearing in the wave equation $partial_t^2u-Delta_x u+a(t,x)partial_tu+q(t,x)u=0$ in $Q=(0,T)timesOmega$, with $T>0$ and $Omega$ a $ mathcal C^2$ bounded domain of $mathbb R^n$, $ngeq2$, from partial observations of the solutions on $partial Q$. More precisely, we look for observations on $partial Q$ that allow to determine uniquely a large class of time-dependent damping coefficients $a$ and time-dependent potentials $q$ without involving an important set of data. We prove global unique determination of $ain W^{1,p}(Q)$, with $p>n+1$, and $qin L^infty(Q)$ from partial observations on $partial Q$." @default.
- W2329091197 created "2016-06-24" @default.
- W2329091197 creator A5032812479 @default.
- W2329091197 date "2016-01-01" @default.
- W2329091197 modified "2023-09-27" @default.
- W2329091197 title "Recovery of time-dependent damping coefficients and potentials appearing in wave equations from partial data" @default.
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