Proves that Weyl asymptotics of the Friedrichs Laplacian on singular metrics with variable boundary degeneracy α are governed by max α when above 2/(n+1) and by truncated volume otherwise, with explicit constants and logs when the max set is Morse-Bott.
Colin de Verdi` ere, C
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
Observability inequality for waves on singular-boundary Riemannian manifolds is established by reducing the general case to a separable one via perturbation and applying uniform tangential-frequency analysis plus an Ingham inequality.
citing papers explorer
-
Weyl asymptotics for singular metrics with a variable boundary degeneracy exponent
Proves that Weyl asymptotics of the Friedrichs Laplacian on singular metrics with variable boundary degeneracy α are governed by max α when above 2/(n+1) and by truncated volume otherwise, with explicit constants and logs when the max set is Morse-Bott.
-
Boundary observability for gas giant metrics
Observability inequality for waves on singular-boundary Riemannian manifolds is established by reducing the general case to a separable one via perturbation and applying uniform tangential-frequency analysis plus an Ingham inequality.