3 papers
math.AP2026
Large time behavior of the solution to the Cauchy problem for viscous Hamilton-Jacobi equation on infinite graphs
Alan A. Tedeev
We study the long-time behavior of nonnegative solutions to a nonlinear diffusion equation with gradient absorption on infinite weighted graphs. The equation combines a discrete p-…
math.AP2025
Decay of Mass of the Solution to the Cauchy Problem of the p-Laplacian with Absorption on Infinite Graphs
Alan A. Tedeev
We consider the Cauchy problem for the nonstationary discrete p-Laplacian with inhomogeneous density \r{ho}(x) on an infinite graph which supports the Sobolev inequality. For nonne…
math.AP2025
Large time behavior of the solution to the Cauchy problem for the discrete p-Laplacian with density on infinite graphs
Alan A. Tedeev
We consider the Cauchy problem for the nonstationary discrete p-Laplacian with inhomogeneous density \r{ho}(x) on an infinite graph which supports the Sobolev inequality. For nonne…