Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 61439, 23 pages
doi:10.1155/JAMSA/2006/61439
Abstract
We consider a transmission problem for semilinear
parabolic-hyperbolic equations. Existence, uniqueness, and
continuous dependence of the solution upon the data are proved by
using the time-discretization method. Besides, some convergence
results of the approximations are established.