Local Hoelder continuity for doubly nonlinear parabolic equations Tuomo KuusiJuhana SiljanderJosé Miguel Urbano 35B6535K6535D10Hoelder continuityCaccioppoli estimatesintrinsic scalingHarnack's inequality We give a proof of the H\"older continuity of weak solutions of certain degenerate doubly nonlinear parabolic equations in measure spaces. We only assume the measure to be a doubling nontrivial Borel measure which supports a Poincar\'e inequality. The proof discriminates between large scales, for which a Harnack inequality is used, and small scales, which require intrinsic scaling methods. Indiana University Mathematics Journal 2012 text pdf 10.1512/iumj.2012.61.4513 10.1512/iumj.2012.61.4513 en Indiana Univ. Math. J. 61 (2012) 399 - 430 state-of-the-art mathematics http://iumj.org/access/