Take a look at this post on the Amazon Kindle forum. A users Kindle (purchased in the US) broke this morning. After a bit of discussion with Amazon UK and Amazon US, a replacement Kindle is being dispatched to the customer.
Personally my Kindle has been going strongly for 14 months, long may it go on. One of the benefits of a Closed Loop system (think that's what it's known as when the supplier of the hardware also supplies the software) is that customer support is great.