If the abuser and I live together, can the landlord evict the abuser?
Yes. If you and the abuser are both tenants on the lease (or even if you are not an official tenant but the abuser is), a landlord can divide the lease in order to evict the abuser and end his/her tenancy. Note: Through the process of dividing the lease, the landlord cannot interfere with any rights you have to the property through a valid court order, and it does not necessarily mean that dividing the lease would create tenancy rights (for you or the abuser) that didn’t otherwise exist.1
In addition, even if you are not asking the landlord to let you out of the lease, the law allows the landlord to issue a 7-day notice of termination to terminate the tenancy of any tenant who is a "perpetrator of domestic violence, sexual assault or stalking" when you (the victim) are also a tenant.2
1 ME ST T. 14 § 6001(6)(C)
2 ME ST T. 14 § 6002(1)(D)