Short time behaviour for game-theoretic $p$-caloric functions

Diego Berti, Rolando Magnanini

We consider the solution of $u_t-{\Delta }_p^{G}u=0$ in a (not necessarily bounded) domain, satisfying $u=0$ initially and $u=1$ on the boundary at all times. Here, ${\Delta }_p^{G}u$ is the game-th…