From the Premiere Elements Information FAQ http://forums.adobe.com/thread/1042180
•What operating system? This should include specific minor version numbers, like "Mac OSX v10.6.8"---not just "Mac".
•Have you installed any recent program or OS updates? (If not, you should. They fix a lot of problems.)
•What kind(s) of image file(s)? When talking about camera raw files, include the model of camera.
•If you are getting error message(s), what is the full text of the error message(s)?
•What were you doing when the problem occurred?
•What other software are you running?
•Tell us about your computer hardware. How much RAM is installed? How much free space is on your system (C:) drive?
•Has this ever worked before? If so, do you recall any changes you made to Premiere Elements, such as adding Plug-ins, brushes, etc.? Did you make any changes to your system, such as updating hardware, printers or drivers; or installing/uninstalling any programs?
And some other questions...
•What are you editing, and does your video have a red line over it BEFORE you do any work?
•Have you viewed the tutorial links at http://forums.adobe.com/thread/1275830 page?
•Which version of Quicktime do you have installed?
What is your exact brand/model graphics adapter (ATI or nVidia or ???)
What is your exact graphics adapter driver version?
Have you gone to the vendor web site to check for a newer driver?
For Windows, do NOT rely on Windows Update to have current driver information
-you need to go direct to the vendor web site and check updates for yourself
ATI Driver Autodetect http://support.amd.com/en-us/download/auto-detect-tool
nVidia Driver Downloads http://www.nvidia.com/Download/index.aspx?lang=en-us
IF you have a laptop with dual graphics, read below... otherwise, ignore this part
Dual video problems (some for Premiere Pro, but the idea is the same)
-link to why http://forums.adobe.com/message/4685328
In additon to John T's links, you might want to see this Tips & Tricks article: http://forums.adobe.com/message/2031203#2031203
It goes into some details on finding "clues" on either Application, or System crashes and hangs, via Windows Event Viewer.