Photo from archive.org
Abstract We give a detailed description of the scattering theory of solutions to the quasilinear wave equations with null conditions and small initial data in two dimensions. The scattering profile… Click to show full abstract
Abstract We give a detailed description of the scattering theory of solutions to the quasilinear wave equations with null conditions and small initial data in two dimensions. The scattering profile is shown to be the same as the one conjectured by Alinhac [1] (1995). Our proof is based on a framework of Fourier transform by Deng and Pusateri [6] (2018) and an expansion of oscillatory integral, together with the global well-posedness of the solutions by Alinhac [2] (2001).
Keywords:
quasilinear wave;
dimensions scattering;
null conditions;
equations null;
wave equations;
two dimensions
Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!