Paula Patton & Robin Thicke's Marriage Is Over

Robin Thicke is waving the white flag ... telling people in his camp his marriage to Paula Patton has collapsed.

Thicke certainly gave a strong sign the union is over by listing his L.A. home Monday. Paula has not lived in the house since their separation in February, after that grab-ass pic became public.

Sources connected with Robin tell TMZ ... an attorney is already working on a financial settlement -- separating assets.

Our sources say, however, neither side has hired a divorce lawyer.

Thicke is saying he will NOT be the one who files for divorce ... she'll have to do it. But he says he's done begging and is moving on.