Early abandonment of property by a tenant

A tenant, for various reasons, mainly financial, may abandon a property before the end of the rental period specified in their rental agreement and cease paying the rent. The question that arises when this happens is how the landlord should act, what are their rights and any obligations? Should they hold the tenant to the agreement until its expiration and claim the payment of the rent or should they make reasonable efforts to find another tenant in order to mitigate their damage?

Under the circumstances...