A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces

Robert Laister, James C. Robinson, Mikolaj Sierzega +1

We consider the scalar semilinear heat equation $u_t-\Delta u=f(u)$, where $f:[0,\infty )\to [0,\infty )$ is continuous and non-decreasing but need not be convex. We completely charact…