Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation

Roland Donninger

doi:10.1215/00127094-0000009X

Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation

Analysis of PDEs 2017-10-18 v3 Mathematical Physics math.MP

Authors: Roland Donninger

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Abstract

We establish Strichartz estimates in similarity coordinates for the radial wave equation in three spatial dimensions with a (time-dependent) self-similar potential. As an application we consider the critical wave equation and prove the asymptotic stability of the ODE blowup profile in the energy space.

Keywords

Strichartz estimates similarity coordinates radial wave equation self-similar potential critical wave equation blowup profile asymptotic stability

Cite

@article{arxiv.1509.02041,
  title  = {Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation},
  author = {Roland Donninger},
  journal= {arXiv preprint arXiv:1509.02041},
  year   = {2017}
}

Comments

39 pages, referees' suggestions incorporated, typos fixed, more references added; will appear in Duke Math. J

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