In this article, we study a direct and an inverse problem for the bi-wave
operator $(\Box^2)$ along with second and lower order time-dependent
perturbations. In the direct problem, we prove that the operator is well-posed,
given initial and boundary data in suitable function spaces. In the inverse
problem, we prove uniqueness of the lower order time-dependent perturbations
from the partial input-output operator. The restriction in the measurements are
considered by restricting some of the Neumann data over a portion of the
lateral boundary.
Este artículo explora los viajes en el tiempo y sus implicaciones.
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2504.15911v1