Decay rates to equilibrium in a nonlinear subdiffusion equation with two counteracting terms
Abstract
In this paper we prove convergence to a steady state as $t\to\infty$ for solutions to the subdiffusion equation \[ \partial_t^αu - \mathbb{L} u = q(x)u - p(x)f(u) + r \] with the exponential ($α=1$) or power law ($α\in[0,1)$) rates under mild conditions on the coefficients $p$, $q$, the nonlinearity $f$, the source $r$, and the elliptic operator $\mathbb{L}$.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 28 January 2026
- Document type
- Preprint