Evolution

I am a believer in evolution. I am also a believer in Global Warming. So I got to thinking, can animals that are losing their homes to Global Warming evolve and adapt to this new environment? Like the polar bears, who I am most heartbroken about losing their homes, can they adapt to their new melting environment? I mean, technically, (very, technically) apes evolved into Neanderthals and we derivative of them (sorry, its been a while since my BIO days) Maybe this is just wishful thinking for the polar bears, but if some of them survive and get used to their new climate maybe then they can pass on those traits to their offspring. I hope I'm right because if they go extinct its our fault!