Solutions with moving singularities for a one-dimensional nonlinear diffusion equation
Solutions with moving singularities for a one-dimensional nonlinear diffusion equation
Abstract The aim of this paper is to study singular solutions for a one-dimensional nonlinear diffusion equation. Due to slow diffusion near singular points, there exists a solution with a singularity at a prescribed position depending on time. To study properties of such singular solutions, we define a minimal singular …