Solution of a transmission problem for semilinearparabolic-hyperbolic equations by the time-discretizationmethod

[摘要] We consider a transmission problem for semilinearparabolic-hyperbolic equations. Existence, uniqueness, andcontinuous dependence of the solution upon the data are proved byusing the time-discretization method. Besides, some convergenceresults of the approximations are established.

[学科分类] 应用数学