We show a triviality result for “pointwise” monotone in time, bounded “eternal” solutions of the semilinear heat equation ut = ∆u + |u|p on complete Riemannian manifolds of dimension n ≥ 5 with nonnegative Ricci tensor, when p is smaller than the critical Sobolev exponent nn−+22
A triviality result for semilinear parabolic equations
Catino G.;Mantegazza C.
2022-01-01
Abstract
We show a triviality result for “pointwise” monotone in time, bounded “eternal” solutions of the semilinear heat equation ut = ∆u + |u|p on complete Riemannian manifolds of dimension n ≥ 5 with nonnegative Ricci tensor, when p is smaller than the critical Sobolev exponent nn−+22File in questo prodotto:
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