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math.AP2022
On the crack inverse problem for pressure waves in half-space
Darko Volkov
After formulating the pressure wave equation in half-space minus a crack with a zero Neumann condition on the top plane, we introduce a related inverse problem. That inverse proble…
math.NA2022
Stability properties for a class of inverse problems
Darko Volkov
We establish Lipschitz stability properties for a class of inverse problems. In that class, the associated direct problem is formulated by an integral operator Am depending non-lin…