## Abstract We consider the following semilinear wave equation: equation image for (__t__,__x__) β β~__t__~ Γ β. We prove that if the potential __V__(__t__,__x__) is a measurable function that satisfies the following decay assumption: β£__V__(__t__,__x__)β£β©½__C__(1+__t__)(1+β£__x__β£) for a.e. (__t_
Inverse scattering problem for the wave equation with time-dependent potential
β Scribed by P.D Stefanov
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 458 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the asymptotic behavior of solutions of dissipative wave equations with space-time-dependent potential. When the potential is only time-dependent, Fourier analysis is a useful tool to derive sharp decay estimates for solutions. When the potential is only space-dependent, a powerful techniqu
A time-dependent method is presented for the numerical solution of the wave equation and its associated Helmholtz equation in electromagnetic scattering problems. l'his method provides an efficient iterative scheme for the solution of the matrix equation resulting from the application of finite-diff