Solution of a transmission problem for semilinear parabolic-hyperbolic equations by the time-discretization method

Abdelfatah Bouziani
2006 Journal of Applied Mathematics and Stochastic Analysis  
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.
doi:10.1155/jamsa/2006/61439 fatcat:n4c2qsw3jfdy3iq4mctgi2fenq