Global solutions for a semilinear parabolic system. (English) Zbl 0592.65056

Ding, Xiaxi; Wang, Jinghua

Acta Math. Sci. 3, 397-414 (1983).

This paper presents a numerical solution scheme for the Cauchy problem of a parabolic system of semilinear type under certain conditions. Uniqueness and regularity for the solution is also discussed. Many theorems are proved for convergence and existence of a solution. No practical applications are discussed.

Reviewer: P.K.Mahanti

MSC:

65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K55	Nonlinear parabolic equations

Keywords:

global solutions; semilinear parabolic system; regularity; convergence