A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem
Abstract
This note establishes sharp time-asymptotic algebraic rate bounds for the classical evolution problem of Fujita, but with sublinear rather than superlinear exponent. A transitional stability exponent is identified, which has a simple reciprocity relation with the classical Fujita critical blow-up exponent.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Proceedings of the Royal Society of Edinburgh Section A Mathematics
- Publisher
- Cambridge University Press (CUP)
- Pages
- 1–10
- Publication date
- 8 January 2026
- Language
- EN