报告题目: Global Existence of Small Amplitude Solutions for A Quasi-linear Coupled Wave Klein-Gordon System in 2D
报告人: Dr. Annalaura Stingo, PhD student,University Paris 13
This talk deals with the problem of global existence of small solutions to a coupled wave/Klein-Gordon system in space dimension 2, with a model quadratic quasi-linear non-linearity and smooth initial data, mildly decaying at infinity.
All results known at present only concern the three-dimensional problem. The proof of the main theorem is based on a normal form argument to get rid of some critical non-linear terms, and combines an adapted version of Klaineman vector fields’ method with a semi-classical analysis of our problem.
Annalaura Stingo is a PhD student at University Paris 13, in Paris. She works on global existence problems for non-linear critical evolution equations with small data, such as cubic quasi-linear Klein-Gordon equations in 1D, and quadratic quasi-linear coupled wave-Klein-Gordon systems in 2D.
She is going to move to University of California, Davis, in September 2018 for a postdoc position