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

Journal of Applied Mathematics and Stochastic Analysis. 2006;2006 DOI 10.1155/JAMSA/2006/61439

 

Journal Homepage

Journal Title: Journal of Applied Mathematics and Stochastic Analysis

ISSN: 1048-9533 (Print); 1687-2177 (Online)

Publisher: Hindawi Publishing Corporation

LCC Subject Category: Science: Mathematics

 

AUTHORS

Abdelfatah Bouziani (Department of Mathematics, The Larbi Ben M'hidi University Centre, P.O. Box 565, Oum El-Bougui 04000, Algeria)

EDITORIAL INFORMATION

 

Abstract | Full Text

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.