According to a new report by Markets&Markets the global flexible display market is expected to grow at a compound annual growth rate (CAGR) of 45% over the next five years to reach over $3.2 billion by 2017.
Market&Markets discuss several flexible display technologies such as LCD, LCoS, e-paper and OLED. They say that flexible OLEDs are the most advanced kind of displays and are considered to be the future mainstream display for a number of consumer products.
I think this is a rather conservative estimate. If companies manage to create good plastic based flexible OLED displays, it makes sense that they will take over a larger part of the OLED display market, which is estimated to be around $20 billion in 2018. And that's without considering the new applications that such a technology will enable, and things like large size rollable OLED TVs that some expect by 2017.