On Similarity Solutions of a Heat Equation with a Nonhomogeneous Nonlinearity

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Well-posedness, global existence and large time behavior for Hardy–Hénon parabolic equations (2017, methodology): “The blow-up rate (1.8) can in fact be realized as shown by the existence of a backward self-similar solution in [3, Theorem A, p. 470 and Proposition 3.1, p. 477].”