The leading-order late-time asymptotic for linear waves on radially symmetric stationary perturbations of (2+1)-Minkowski space is proportional to u^{-1/2}v^{-1/2}.
Wong, Small data global existence and decay for two dimensional wave maps
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Establishes global existence for a weakly coupled nonlinear wave-Klein-Gordon system in two spatial dimensions via conformal energy estimates on hyperboloids and normal form transforms.
Establishes global existence for wave-Klein-Gordon systems with nonlinear damping induced by coefficient constraints, proved via bootstrap argument with hyperboloidal foliation and vector field methods.
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Late-time tails for linear waves on radially symmetric stationary spacetimes of two space dimensions
The leading-order late-time asymptotic for linear waves on radially symmetric stationary perturbations of (2+1)-Minkowski space is proportional to u^{-1/2}v^{-1/2}.
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Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: weak coupling case
Establishes global existence for a weakly coupled nonlinear wave-Klein-Gordon system in two spatial dimensions via conformal energy estimates on hyperboloids and normal form transforms.
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A non-linear damping structure and global stability of wave-Klein-Gordon coupled system in $\mathbb{R}^{3+1}$
Establishes global existence for wave-Klein-Gordon systems with nonlinear damping induced by coefficient constraints, proved via bootstrap argument with hyperboloidal foliation and vector field methods.