5 papers
Observability inequality for the wave equation
Suliang Si
In this paper, only Carleman estimates are used, without energy estimates, we derive observability inequality. The main tool consists in the use of a new Carleman estimate.
Arefinement of the Bukhgeim-Klibanov method
Suliang Si
In this article, we improve the classical Bukhgeim-Klibanov method presented in [1],which can be used to prove the conditional stability of inverse source problem for a hyperbolic…
Determination of the potential by a fixed angle scattering data
Suliang Si
In this paper, we show that a compactly supported potential is uniquely determined by the far field pattern at a fixed angle. Our method is based on a new Carleman estimate and the…
Inverse source problem for a hyperbolic equation by Carleman estimates
Suliang Si
In this article, we provide a modified argument for proving the conditional stability of inverse source problem for a hyperbolic equation. Our method does not require any extension…
Increasing stability for inverse acoustic source problems
Suliang Si
In this paper, we show the increasing stability of the inverse source problems for the acoustic wave equation in the full space R3.The goal is to understand increasing stability fo…