The null condition for quasilinear wave equations in two space dimensions I

By S. Alinhac. 2001

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Global Well-Posedness of the Incompressible Magnetohydrodynamics (2016, methodology): “One essential point is the refinement of Alinhac’s ghost weight, which is responsible for existence of the global solutions.”
On the stability threshold for the 3D Couette flow in Sobolev regularity (2015, methodology): “The ghost energy of Alinhac [1] for quasilinear wave equations uses O(1) time-dependent weights in the norms, and the O(1) multiplier M is a Fourierside analogue – this general idea has been used several times [55, 7, 8].”
Global Existence for the Einstein Vacuum Equations in Wave Coordinates (2003, background): “Asymptotic systems played an important role in the analysis of the blow-up mechanisms in [ A1 ].”
On one-dimension semi-linear wave equations with null conditions (2017, background): “References [1] S. Alinhac, The null condition for quasilinear wave equations in two space dimensions I, Invent.”
Global Solutions for Incompressible Viscoelastic Fluids (2008, background): “There also exists a vast literature in the study of compressible nonlinear elasticity [1, 32] and nonlinear wave equations [3, 4, 7, 15, 17, 33].”