Decay of Mass of the Solution to the Cauchy Problem of the p-Laplacian with Absorption on Infinite Graphs
Abstract
Abstract We consider the Cauchy problem for the nonstationary discrete p-Laplacian with absorption term on infinite graph which supports the Sobolev inequality. We established the precise conditions on parameters which guarantee the decay in time of the total mass for nonnegative solutions. Our technique relies on suitable energy inequalities.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Spectral Theory in Mathematical Physics
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Computational Mathematics and Mathematical Physics
- Volume
- 66
- Issue
- 7
- Pages
- 1387–1396
- Publication date
- 1 July 2026
- Language
- EN