63 citations · 279 across the 24 of their papers we have counts for
4 papers · 1 filter
Geometric analysis of 1+1 dimensional quasilinear wave equations
Leonardo Enrique Abbrescia, Willie Wai Yeung Wong
We prove global well-posedness of the initial value problem for a class of variational quasilinear wave equations, in one spatial dimension, with initial data that is not-necessari…
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…