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Self-similarity and uniqueness of solutions for semilinear reaction-diffusion systems. (English) Zbl 1198.35047
The authors consider the well posedness of the initial value problem for a coupled semilinear reaction diffusion system in Marcinkiewicz spaces, and analyze the asymptotic stability of the solutions.
Reviewer: Jiaqi Mo (Wuhu)

MSC:
35C06 Self-similar solutions to PDEs
35K45 Initial value problems for second-order parabolic systems
35K58 Semilinear parabolic equations
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
35B40 Asymptotic behavior of solutions to PDEs
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