published on July 7, 2026
Boundary conditions and non kinematic free boundaries for wave-structure interactions
By David Lannes
Appears in collection : Singular metrics in complex Kähler geometry / Métriques singulières en géométrie complexe Kählérienne
We develop a parabolic pluripotential theory on compact Kähler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Ampere equations. We provide a parabolic analogue of the celebrated Bedford-Taylor theory and apply it to the study of the Kähler-Ricci flow on varieties with log terminal singularities.