Seed stock for species once present on the island no longer exists locally.

He was a man who enjoyed going against the grain of society, or at least what little society existed locally.

Steatite or soapstone objects were found, which must have been imported into the region through trade, as the rock does not exist locally.

TSOS was also the "default" account for a file that was referenced that did not exist locally.

A substantial community of craftsmen and women now exists locally, headed by many ex-students of the Faculty.

Open access by telephone to an emergency service may be offered if such a facility exists locally.

Ten years ago, such clubs didn't exist locally.

Various other recipes also exist locally.

That is, the passwords are - they exist locally in the user's machine.

Then, one can prove that solutions exist at least locally, using ideas not terribly dissimilar from those encountered in studying other differential equations.