18 citations · 30 across the 2 of their papers we have counts for
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math.AP2019
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 …
math.AP2019
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…
math.AP2019
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…