Prefer a chat interface with context about you and your work?
A semilinear heat equation with a localized nonlinear source and non-continuous initial data
This paper is devoted to the study of the Cauchy problem for a semilinear heat equation with nonlinear term presenting a nonlinear source centered in a closed region of the spatial domain Ω. We assume that is either a smooth bounded domain or the whole space , The initial data …