Would you give up on the person you loved?

My ex broke up with me 3 months ago over a miscommunication issue. Since then, he claims he has no feelings, but gets upset (sad) whenever we try to talk things out, frustrated, or he'll avoid talking. He stares at me almost constantly and gets jealous when I'm around any guy. I can tell there is feeling there, it's just very hard for him to express emotion outright. Even before we dated one day he claimed we should just be friends and by the end of that week we were a couple. We've had spats since the breakup and he's said things to hurt me but always felt awful and apologized. If he still feels this way, should I give up, if I still love him? How can I get him to talk to me?
Would you give up on the person you loved?
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