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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AP 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
For p in (p_S, p_JL) there are countably many positive radial solutions w to the self-similar profile equation, and finitely many for p in (p_JL, p_L).
citing papers explorer
-
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.
-
On the multiplicity of self-similar solutions of the semilinear heat equation
For p in (p_S, p_JL) there are countably many positive radial solutions w to the self-similar profile equation, and finitely many for p in (p_JL, p_L).