Magnets and burnt images are all related to CRTs. the way an LCD works does not allow for the same type things to happen. Simply put the CRT uses magnets to deflect the path of electron beams to produce an image. The beams literally would burn the inside of the screen so you would have a burnt image. Adding a magnetic field to the regulated field of the monitor would deflect and distort the stream of electrons. An LCD uses neither magnets nor electron beams to display an image. instead individual pixels have a liquid crystal in them. a voltage is placed on a thin clear film in front and behind the liquid crystal. when the voltage b/w the two films changes then the crystals become re-aligned to either let in or let out light coming from a backlight source. (this is all simplified, if you want to learn more go to wikipedia they always have good information on stuff like this)
what can happen with LCD is a dead pixel where the crystals fail to re-align and you either get no light coming through the pixel (a black pixel) or all light coming through the pixel (a white pixel) response time is a big important number for LCD screens. it determines how quickly each pixel can change color. slow response time means fast video will appear to be blurry as the pixels can not keep up with the changing images. many video gamers complain about this.
so, if an image appears to be 'burned' into an LCD screen then it might have to do with the response time of the pixels. I have a 2005FPW and love it. I have also never seen this problem, so it might be something wrong with your monitor! If the image remains 'burned' for very long (more than a minute or two) I would defiantly give dell a call (especially if its still under warrantee)