Petrovsky lacuna
supersonic
object.In mathematics, a Petrovsky lacuna, named for the Russian mathematician
I. G. Petrovsky, is a region where the fundamental solution of a linear hyperbolic partial differential equation
vanishes.
They were studied by topological
conditions for their existence.
Petrovsky's work was generalized and updated by Atiyah, Bott, and Gårding (1970, 1973).
References
- Zbl 0201.12501.
- Zbl 0191.11203.
- Zbl 0266.35045.
- Zbl 0061.21309.