Proves that for p larger than the Lepin exponent, positive bounded radial entire solutions of u_t = Δu + u^p are steady states, with additional classifications of nonstationary entire and ancient solutions.
Seki, Type II blow-up mechanisms in a semilinear heat equation w ith critical Joseph-Lundgren exponent, J
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Entire and ancient solutions of a supercritical semilinear heat equation
Proves that for p larger than the Lepin exponent, positive bounded radial entire solutions of u_t = Δu + u^p are steady states, with additional classifications of nonstationary entire and ancient solutions.