Solvability of a semilinear heat equation on Riemannian manifolds

Jin Takahashi, Hikaru Yamamoto

We study the solvability of the initial value problem for the semilinear heat equation $u_t-\Delta u=u^p$ in a Riemannian manifold $M$ with a nonnegative Radon measure $\mu$ on $M$ as init…