11 citations · 31 across the 11 of their papers we have counts for
4 papers · 2 filters
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…
Global stability of some totally geodesic wave maps
Leonardo Enrique Abbrescia, Yuan Chen
We prove that wave maps that factor as , subject to a sign condition, are globally nonlinear…
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…