Below, each of the 2 Tabs has one footnote. But both footnotes appear in both tabs.

Code for the example:
[ui-tabs position="top-left" active="0" theme="lite"]
[ui-tab title="Tab1"]
This tab introduces one footnote[^footNoteTab1].
[^footNoteTab1]: this footnote should appear only in Tab1.
Content of Tab1
[/ui-tab]
[ui-tab title="Tab2"]
This tab introduces one footnote[^footNoteTab2].
[^footNoteTab2]: this footnote should appear only in Tab2.
Content of Tab2
[/ui-tab]
[/ui-tabs]