Critical length for a quenching problem with nonlocal singularity
Go-Jien Chen, Jong‐Shenq Guo · Methods and Applications of Analysis · 1998
We study an initial-boundary-value problem for a nonlocal semilinear heat equation.By studying the existence and nonexistence of its stationary solutions, we obtain the critical length(s) of the original parabolic equation.Some peculiar features of critical lengths are different from the classical results, due to the nonlocal singularity.