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math.AP2023
Explicit inversion for variable-speed wave equations on bounded domains
Sunghwan Moon, Ihyeok Seo
We study the reconstruction of the initial pressure for the wave model \[ \partial_t^2 p(x,t)=c(x)Δ_{x}p(x,t)\qquad (x,t)\inΩ\times[0,\infty), \] posed on a bounded d…
math.AP2023
Reconstruction of the initial data from the trace of the solutions on an infinite time cylinder of damped wave equations
Seongyeon Kim, Sunghwan Moon, Ihyeok Seo
In this paper, we consider two types of damped wave equations: the weakly damped equation and the strongly damped equation. We recover the initial velocity from the trace of the so…