Low regularity ray tracing for wave equations with Gaussian beamsWaters, A., 2019, In : Rocky mountain journal of mathematics. 49, 3, p. 1005-1027 23 p.
Research output: Contribution to journal › Article › Academic › peer-review
We prove observability estimates for oscillatory Cauchy data modulo a small kernel for n-dimensional wave equations with space and time dependent C-2 and C-1,C-1 coefficients using Gaussian beams. We assume the domains and observability regions are in R-n, and the GCC applies. This work generalizes previous observability estimates to higher dimensions and time dependent coefficients. The construction for the Gaussian beamlets solving C-1,C-1 wave equations represents an improvement and simplification over Waters (2011).
|Number of pages||23|
|Journal||Rocky mountain journal of mathematics|
|Publication status||Published - 2019|
- Control theory, inverse problems, wave equations, observability, low regularity coefficients, Gaussian beams, STABLE DETERMINATION, STABILITY, TRANSFORMS, UNIQUENESS