If you left your bike for two weeks, would you expect it to still be there? Doubt it. If it was me, I'd chop the cable, take it inside, not touch it, and leave a weather-protected note attached to whatever it was locked to. Heck, even put up a few fliers in the area. If nobody ever claims it, fine. If they do claim it, you just saved them a ton of grief getting that thing un-rusted and re-greased whenever they did decide to come for it. Or turn it into the police after you've had it for a while. Or tell the Police it's been abandoned and have them cut the thing down and you can post up a couple fliers explaining what happened.
I come from a college town and see lots and lots of bikes that have been abandoned and left to get smashed up and rusted. Taco'd rims, chains made of iron oxide, etc. To me, if a bike has been somewhere for more than a month, it's gone back to nature. I once moved out of an apartment and left my bike by accident. I was shocked and a little thankful that only my wheels had been stolen when I remembered it a couple weeks later. Hmm, there goes my argument. Nvm.