18 citations · 30 across the 2 of their papers we have counts for
5 papers
Dispersive estimates for Klein-Gordon equations via a physical space approach
Willie Wai Yeung Wong
Building on the hyperboloidal foliation approach of Lefloch and Ma, we extend Klainerman's physical-space approach to dispersive estimates to recover the frequency-restricted …
Global versions of Gagliardo-Nirenberg-Sobolev inequality and applications to wave and Klein-Gordon equations
Leonardo Abbrescia, Willie Wai Yeung Wong
We prove global, or space-time weighted, versions of the Gagliardo-Nirenberg interpolation inequality, with () endpoint, adapted to a hyperboloidal foliation. The…
Global nearly-plane-symmetric solutions to the membrane equation
Leonardo Abbrescia, Willie Wai Yeung Wong
We prove that any simple planar travelling wave solution to the membrane equation in spatial dimension with bounded spatial extent is globally nonlinearly stable under s…
Warped Product Space-times
Xinliang An, Willie Wai Yeung Wong
Many classical results in relativity theory concerning spherically symmetric space-times have easy generalizations to warped product space-times, with a two-dimensional Lorentzian…
A space-time characterization of the Kerr-Newman metric
Willie Wai-Yeung Wong
In the present paper, the characterization of the Kerr metric found by Marc Mars is extended to the Kerr-Newman family. A simultaneous alignment of the Maxwell field, the Ernst two…