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Asymptotics of the critical non-linear wave equation for a class of non star-shaped obstacles
Asymptotics the critical non-linear wave equation non star-shaped obstacles Analysis of PDEs
2012/6/14
Scattering for the energy critical non-linear wave equation for domains exterior to non trapping obstacles in 3+1 dimension is known for the star-shaped case. In this paper, we extend the scattering f...
The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval II. Obstacles with a dissipative boundary or finite refractive index and back-scattering data
enclosure method inverse obstacle scattering problem inverse backscattering obstacle wave equation dissipative boundary condition
2011/9/5
Abstract: In this paper a wave is generated by an initial data whose support is localized at the outside of unknown obstacles and observed in a limited time on a known closed surface or the same posit...
Numerical Solution of the Tomography Problem in Domains with Obstacles
Numerical Solution the Tomography Problem Obstacles Numerical Analysis
2011/8/26
Abstract: We study numerical methods of tomography in domains with a reflecting obstacle. It will be shown that tomography with sets containing both broken rays, i.e. rays reflecting at the obstacle, ...
Uniqueness on the Class of Odd-Dimensional Starlike Obstacles with Cross Section Data
Odd-Dimensional Starlike Obstacles Cross Section Data
2010/11/18
We determine the uniqueness on starlike obstacles by using the cross section data. We see cross section data as spectral measure in polar coordinate at far field. Cross section scattering data suffic...
We study the obstacle problem for the Evolutionary p-Laplace Equation when the obstacle is discontinuous and without regularity in the time variable. Two quite different procedures yield the same solu...