A trespass is continuing when the offending object remains on the property of the person entitled to possession. A building or fence that encroaches on a neighbor's property creates a continuing trespass, as does a tree that has fallen across a boundary line. Some courts have allowed a series of lawsuits where there is a continuing trespass, but the prevailing view is that the dispute should be settled in its entirety in one action.
The remedies can be tailored to the particular kind of harm done. A defendant might have to pay damages to repair the plaintiff's property or compensate the plaintiff for the diminished value of her property. Where a structure or object is on the plaintiff's property, the defendant may be ordered to remove it.
Law Library - American Law and Legal InformationFree Legal Encyclopedia: Tonnage tax to UmpireTrespass - Common-law Form Of Action, Trespass To Land, Trespass By One Entitled To Possession