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math.AP2024
Weyl formulae for some singular metrics with application to acoustic modes in gas giants
Yves Colin de Verdìère, Charlotte Dietze, Maarten V. de Hoop +1
This paper is motivated by recent works on inverse problems for acoustic wave propagation in the interior of gas giant planets. In such planets, the speed of sound is isotropic and…
math.AP2024
Large-time optimal observation domain for linear parabolic systems
Idriss Mazari-Fouquer, Yannick Privat, Emmanuel Trélat
Given a well-posed linear evolution system settled on a domain of , an observation subset and a time horizon , the observability constant is define…