Unfortunately, I have not resolved it. But I have found a way to partially deal with it.
While I am developing in Eclipse, as soon as I test my program on the tablet, I exit my program and then go to Settings - Applications - Manage applications - select the program I am working on and then select "Force Stop".
I leave the tablet on this page because the next time I run and exit my program, the tablet defaults back to this page and I tell it to Force Stop again. If/when I don't force it to stop, Eclipse crashes in 3-5 minutes.
I have not noticed any problems when running the program on the tablet itself, so I have just been working around this annoying problem instead of spending even more time trying to solve it.
If anyone finds a solution to this problem, please let us know.