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MR2601595 (2011f:35184) 35K91 (35B44 35B53 35K55 74H35)
Nouaili, Nejla; Zaag, Hatem A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up. Trans. Amer. Math. Soc. 362 (2010), no. 7, 3391–3434.
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