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On a generalized nonlinear heat equation in Besov and Triebel–Lizorkin spaces |
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| Abstract: | The paper deals with solutions of the Cauchy problem of a nonlinear generalized heat equation in the context of Besov and Triebel–Lizorkin spaces  and  where  and  with initial data belonging to some spaces  where  and  . |
| Keywords: | Generalized nonlinear heat equation function spaces molecular and wavelet decompositions mild and strong solutions 35K25 35K55 35Q35 46E35 |