English

Strichartz estimates and Blowup stability for energy critical nonlinear wave equations

Analysis of PDEs 2022-04-11 v2 Mathematical Physics math.MP

Abstract

We prove Strichartz estimates in similarity coordinates for the radial wave equation with a self similar potential in dimensions d3d\geq 3. As an application of these, we establish the asymptotic stability of the ODE blowup profile of the energy critical radial nonlinear wave equation for 3d63\leq d\leq 6.

Keywords

Cite

@article{arxiv.2204.03388,
  title  = {Strichartz estimates and Blowup stability for energy critical nonlinear wave equations},
  author = {David Wallauch},
  journal= {arXiv preprint arXiv:2204.03388},
  year   = {2022}
}