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Solution of a transmission problem for semilinear parabolic-hyperbolic equations by the time-discretization method
2006
Journal of Applied Mathematics and Stochastic Analysis
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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