Inevitably equipment breaks. In this case I already was looking out for a new notebook computer and even considering a notepad. My November 2006 Dell Dimension 6400 notebook's LCD screen was fading away to now being illegible.
Finding out that this is a rather common problem with LCD screens I took the chance of buying a replacement LCD Backlight Inverter. For a mere (or pricy) 40 euro for a narrow strip of electronics, this would be 10% of the cost of a new notebook. Being somewhat lucky I guess this indeed solved the issue.
My laptop has been to places, not in the least it survived a 2 times 250 km washboard dusty rattling dirt road drive in the back of a truck... I guess I can wait a bit more before buying a new laptop computer and visit more places with it.