From Wikipedia
The war was fought in three theatres: At sea, warships and privateers
of both sides attacked each other's merchant ships. The British
blockaded the Atlantic coast of the U.S. and mounted large-scale raids
in the later stages of the war. Both land and sea battles were fought
on the frontier, which ran along the Great Lakes and Saint Lawrence
River and separated the U.S. from Upper and Lower Canada. The South and
the Gulf coast
saw major land battles in which the Americans destroyed Britain's
Indian allies and defeated the main British invasion force at New
Orleans. Both sides invaded each other's territory, but these invasions
were unsuccessful or temporary. At the end of the war, both sides
occupied parts of the other's territory, but these areas were restored
by the Treaty of Ghent.