Global Existence for Reaction-diffusion Equations with State-Dependent Delay and Fast-growing Nonlinearities

Ruijing Wang

This work aims to study the initial-boundary value problem of the reaction-diffusion equation with state-dependent delay $\pa_{t}u-Δu=f(u)+g(u,u(t-τ(t,u_t)))+h(t,x)$ in a bounded d…