Georgios Mavrogiannis

activity

20212025

collaborators

5 papers

math.AP2025

Relatively non-degenerate integrated decay estimates on subextremal Kerr de Sitter

Georgios Mavrogiannis

We study the Klein--Gordon equation $□ ψ - μ_{KG}^{2} ψ = 0$ on subextremal Kerr de Sitter black hole backgrounds with parameters $(a, M, l)$ , where $l^{2} = \frac{3}{Λ}$ . We prove a "…

math.AP2025

Boundedness and Morawetz estimates on subextremal Kerr de Sitter

Georgios Mavrogiannis

We study the Klein--Gordon equation $□_{g_{a, M, l}} ψ - μ_{KG}^{2} ψ = 0$ on subextremal Kerr--de Sitter black hole backgrounds with parameters $(a, M, l)$ , where $l^{2} = \frac{3}{Λ}$ .…

gr-qc2024

A note on integrated local energy decay estimates for spherically symmetric black hole spacetimes

Gustav Holzegel, Georgios Mavrogiannis, Renato Velozo Ruiz

We present short proofs of integrated local energy decay estimates on Schwarzschild, extremal Reissner-Nordström, and Schwarzschild-de Sitter spacetimes. The proofs employ novel gl…

gr-qc2021

Quasilinear wave equations on Schwarzschild-de Sitter

Georgios Mavrogiannis

We give an elementary new argument for global existence and exponential decay of solutions of quasilinear wave equations on Schwarzschild-de Sitter black hole backgrounds, for appr…

gr-qc2021

Morawetz estimates without relative degeneration and exponential decay on Schwarzschild-de Sitter spacetimes

Georgios Mavrogiannis

We use a novel physical space method to prove relatively non-degenerate integrated energy estimates for the wave equation on subextremal Schwarzschild-de Sitter spacetimes with par…