11 papers
Determination of the potential by a fixed angle scattering data
Suliang Si
In this paper, we study the fixed angle scattering problems raised by Rakesh and Salo. We show that a compactly supported potential is uniquely determined by the far field pattern…
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…
Uniqueness, stability and algorithm for an inverse wave-number-dependent source problems
Mengjie Zhao, Suliang Si, Guanghui Hu
This paper is concerned with an inverse wavenumber/frequency-dependent source problem for the Helmholtz equation. In two and three dimensions, the unknown source term is supposed t…
Increasing stability for inverse source problem with limited-aperture far field data at multi-frequencies
Ibtissem Ben Aïcha, Guanghui Hu, Suliang Si
We study the increasing stability of an inverse source problem for the Helmholtz equation from limited-aperture far field data at multiple wave numbers. The measurement data are gi…
Increasing stability for inverse acoustic source problems in the time domain
Chun Liu, Suliang Si, Guanghui Hu +1
This paper is concerned with inverse source problems for the acoustic wave equation in the full space R^3, where the source term is compactly supported in both time and spatial var…
Increasing stability in the n-dimensional inverse source problem with multi-frequencies
Suliang Si
In this paper, we show for the first time the increasing stability of the inverse source problem for the n-dimensional Helmholtz equation at multiple wave numbers, which is differe…
Increasing stability for the inverse source problems in electrodynamics
Suliang Si
We are concerned with increasing stability in the inverse source problems for the time-dependent Maxwell equations in R^3 , where the source term is compactly supported in both tim…