TY - JOUR
T1 - Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications
AU - Sire, Yannick
AU - Sogge, Christopher D.
AU - Wang, Chengbo
AU - Zhang, Junyong
N1 - Publisher Copyright:
© 2022 Taylor & Francis Group, LLC.
PY - 2022
Y1 - 2022
N2 - We provide reversed Strichartz estimates for the shifted wave equations on non-trapping asymptotically hyperbolic manifolds using cluster estimates for spectral projectors proved previously in such generality. As a consequence, we solve a problem left open in Sire et al [Trans. AMS 373(2020):7639-7668] about the endpoint case for global well-posedness of nonlinear wave equations. We also provide estimates in this context for the maximal wave operator.
AB - We provide reversed Strichartz estimates for the shifted wave equations on non-trapping asymptotically hyperbolic manifolds using cluster estimates for spectral projectors proved previously in such generality. As a consequence, we solve a problem left open in Sire et al [Trans. AMS 373(2020):7639-7668] about the endpoint case for global well-posedness of nonlinear wave equations. We also provide estimates in this context for the maximal wave operator.
KW - Asymptotically hyperbolic manifolds
KW - reversed Strichartz estimates
KW - shifted wave equation
UR - http://www.scopus.com/inward/record.url?scp=85129192216&partnerID=8YFLogxK
U2 - 10.1080/03605302.2022.2047724
DO - 10.1080/03605302.2022.2047724
M3 - Article
AN - SCOPUS:85129192216
SN - 0360-5302
VL - 47
SP - 1124
EP - 1132
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 6
ER -