Maximal time existence of unnormalized conical Kahler-Ricci flow

We generalize the maximal time existence of Kahler-Ricci flow in [G. Tian and Z. Zhang, On the Kahler-Ricci flow on projective manifolds of general type, Chin. Ann. Math. Ser. B 27 (2006), no. 2, 179-192] and [J. Song and G. Tian, The Kahler-Ricci flow through singularities, Invent. Math. 207 (2017), no. 2, 519-595] to the conical case. Furthermore, if the log canonical bundle K-M + (1 - beta)[D] is big or big and nef, we can examine the limit behaviors of such conical Kahler-Ricci flow. Moreover, these results still hold when D is a simple normal crossing divisor.