Asymptotic Properties of Linear Field Equations in Anti-de Sitter Space
Asymptotic Properties of Linear Field Equations in Anti-de Sitter Space
Abstract We study the global dynamics of the wave equation, Maxwell’s equation and the linearized Bianchi equations on a fixed anti-de Sitter (AdS) background. Provided dissipative boundary conditions are imposed on the dynamical fields we prove uniform boundedness of the natural energy as well as both degenerate (near the AdS …