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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:

35K57 Reaction-diffusion equations
35B40 Asymptotic behavior of solutions to PDEs
35B45 A priori estimates in context of PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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