With the fast development of mobile technologies and wireless Internet access, video streaming share grows rapidly. New HEVC (High Efficiency Video Codec) standard was introduced by ITU-T in 2013. It increases compression rate and, in the same time, computational efforts. Thus development of efficient decoding systems for mobile platforms becomes actual problem. This paper is dedicated to analysis of possible issues which arise during design of the important decoder's component - task scheduler. In particular, opportunities of HEVC decoding parallelization on mobile devices using GPGPU (General Purpose Graphics Processing Unit) technique are considered.