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late 14c., "to give up, surrender (oneself or something), give over utterly; to yield (oneself) utterly (to religion, fornication, etc.)," from Old French abandoner (12c.), from adverbial phrase à bandon "at will, at discretion," from à "at, to" (see ad-) + bandon "power, jurisdiction," from Latin bannum, "proclamation," from a Frankish word related to ban (v.).
Mettre sa forest à bandon was a feudal law phrase in the 13th cent. = mettre sa forêt à permission, i.e. to open it freely to any one for pasture or to cut wood in; hence the later sense of giving up one's rights for a time, letting go, leaving, abandoning. [Auguste Brachet, "An Etymological Dictionary of the French Language," transl. G.W. Kitchin, Oxford, 1878]Etymologically, the word carries a sense of "put someone under someone else's control." Meaning "to give up absolutely" is from late 14c. Related: Abandoned; abandoning.
"a letting loose, surrender to natural impulses," 1822, from a sense in French abandon (see abandon (v.). Borrowed earlier (c.1400) from French in a sense "(someone's) control;" and cf. Middle English adverbial phrase at abandon, i.e. "recklessly," attested from late 14c.
in Anglo-American property law, the relinquishment of possession of property with an intent to terminate all ownership interests in that property. Abandonment may occur by throwing away the property, by losing it and making no attempt to retrieve it, by vacating the property with no intention of returning to it, or by any other act manifesting a complete disclaimer of ownership in the property. The general effect of abandonment is to give full ownership of the property to the first taker.