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It is well known from the seminal paper by Fujita [22] for 1 &lt; p &lt; p 0 , and Hayakawa [36] for the critical case p = p 0 , that all the solutions u ≥ 0 of the semilinear heat equation

Classification of Global and Blow-up Sign-changing Solutions of a Semilinear Heat Equation in the Subcritical Fujita Range : Second-order Diffusion