PPT Slide
Strichartz inequalities for rough coefficients:
- Chemin -Bahouri - FIO, ‘98.
- D. Tataru - FBI transform , ‘99
- Vectorfield method, Approximate symmetries
FACT 5: Quasilinear wave equations
- Strichartz inequalities for C1,1 coefficients (H. Smith, ‘97).
- Some sharp Strichartz inequalities fail for rougher coefficients (C. Sogge-H. Smith, ‘95)
?t2 ? - ? Aij (?) ?i ?j ? = F (?, ?j?)
? = f ? Hs(Rn), ?t ? = g ? Hs-1 (Rn) at t = 0