Prefer a chat interface with context about you and your work?
Resolvent estimates and local energy decay for hyperbolic equations
We examine the cut-off resolvent R χ (λ) = χ (–Δ D – λ2)–1χ, where Δ D is the Laplacian with Dirichlet boundary condition and $\chi \in C_0^{\infty}(\mathbb{R}^n)$ equal to 1 in a neighborhood of the obstacle K. We show that if R χ (λ) has no poles for $\Im …