Definition: Supported presentation

An admitted analytical packet fixes:

1. the chart, ${\Sigma }_0$, $b$, and ${\mathcal{D}}_{R,b}$;

2. compact observation tests, compact interaction switches, and compact gauge generators in the interior $0<t<b$;

3. the coefficient Cauchy data and every initial constraint preparation used;

4. a compact collection of truncated past cones containing all dependencies of the selected evaluations, with a positive margin inside the developing laboratory.

Wave solutions are determined from their stated initial data, without independent incoming lateral-boundary data.

“Supported” refers to this dependence contract. It does not require every coefficient or every metric Cauchy datum to be compactly supported. In particular, the sourced family of Section sec:sourced retains an explicit auxiliary Newton preparation, whose smooth restriction is admitted initial data.