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