There are two possibilities - bad T-CON board and bad LCD.
In the first case you need a new T-CON in the second - a new TV.
it is usually the LCD and it's usually caused by overheating and detachment of the very delicate LCD with multiple tracks from the board that makes connection with the T-CON board.
It starts working after it heats up because all materials expand as temperature raises and that helps contact a place that was previously melted and detatched. We're talking micrometters here.
An experienced TV technician may have luck identifying the place and applying physical force there so that it doesn't detach.
However, it's a technology issue and if it has happened in one place of the LCD it will happen in another over time.
Contrary to what popular belief is competition isn't all good for customers.
Competition leads to lower prices and from there to lower quality.
All consumer electronics - and particularily the TVs - are an excellent example of this.
Not sure I helped you much, but hey, don't kill the messenger.
For more insights see
http://www.coppelltvrepair.com .