Abstract
This paper is concerned with blow-up solutions for a semilinear parabolic system with a power type nonlinearity. Non self-similar blow-up solution is constructed by the matched asymptotic expansions. One component of this solution converges to the singular steady state, and another component converges to zero in self-similar variables.
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The author would like to thank the referee for his/her careful reading of this manuscript. He is partly supported by Grant-in-Aid for Young Scientists (B) No. 26800065.
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Communicated by F. H. Lin.
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Harada, J. Construction of type II blow-up solutions for a semilinear parabolic system with higher dimension. Calc. Var. 56, 121 (2017). https://doi.org/10.1007/s00526-017-1213-x
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DOI: https://doi.org/10.1007/s00526-017-1213-x