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Global bounds and asymptotics for a system of reaction-diffusion equations. (English) Zbl 0681.35045
The author presents the existence of unique strong global solutions for the nonlinear boundary value problems in a smooth bounded domain. Theorems on existence and uniqueness of solutions are also presented. Existence and global solution is given as an open question.
Reviewer: P.K.Mahanti
MSC:
35K57Reaction-diffusion equations
35B40Asymptotic behavior of solutions of PDE
35B45A priori estimates for solutions of PDE
35K60Nonlinear initial value problems for linear parabolic equations