Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

D. Castorina - G. Catino - C. Mantegazza

A Triviality Result for Semilinear Parabolic Equations

created by root on 15 Jul 2020
modified by catino on 10 May 2021

[BibTeX]

Published Paper

Inserted: 15 jul 2020
Last Updated: 10 may 2021

Journal: Math. Engineering
Volume: 4
Number: 1
Pages: 1-15
Year: 2022

Abstract:

We show a triviality result for “pointwise” monotone in time, bounded “eternal” solutions of the semilinear heat equation $u_t=∆u+
u
^p$
on complete Riemannian manifolds of dimension $n\geq5$ with nonnegative Ricci tensor, when $p$ is smaller than the critical Sobolev exponent $\frac{n+2}{n−2}$.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1