Geodesic
Dispersive and Strichartz estimates for 3D wave equation with a Laguerre potential
Canadian journal of mathematics, Tome 77 (2025) no. 3, pp. 863-890

Voir la notice de l'article provenant de la source Cambridge

DOI

Dispersive and Strichartz estimates are obtained for solutions to the wave equation with a Laguerre potential in spatial dimension three. To obtain the desired dispersive estimate, based on the spectral properties of the Schrödinger operator involved, we subsequently prove the dispersive estimate for the corresponding Schrödinger semigroup, obtain a Gaussian-type upper bound, establish Bernstein-type inequalities, and finally pass to the Müller–Seeger’s subordination formula. The desired Strichartz estimates follow by the established dispersive estimate and the standard argument of Keel–Tao.
DOI : 10.4153/S0008414X24000166
Mots-clés : Dispersive estimate, Strichartz estimate, wave equation, Laguerre potential 
Wang, Haoran. Dispersive and Strichartz estimates for 3D wave equation with a Laguerre potential. Canadian journal of mathematics, Tome 77 (2025) no. 3, pp. 863-890. doi: 10.4153/S0008414X24000166
@article{10_4153_S0008414X24000166,
     author = {Wang, Haoran},
     title = {Dispersive and {Strichartz} estimates for {3D} wave equation with a {Laguerre} potential},
     journal = {Canadian journal of mathematics},
     pages = {863--890},
     year = {2025},
     volume = {77},
     number = {3},
     doi = {10.4153/S0008414X24000166},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000166/}
}
TY  - JOUR
AU  - Wang, Haoran
TI  - Dispersive and Strichartz estimates for 3D wave equation with a Laguerre potential
JO  - Canadian journal of mathematics
PY  - 2025
SP  - 863
EP  - 890
VL  - 77
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000166/
DO  - 10.4153/S0008414X24000166
ID  - 10_4153_S0008414X24000166
ER  - 
%0 Journal Article
%A Wang, Haoran
%T Dispersive and Strichartz estimates for 3D wave equation with a Laguerre potential
%J Canadian journal of mathematics
%D 2025
%P 863-890
%V 77
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000166/
%R 10.4153/S0008414X24000166
%F 10_4153_S0008414X24000166

Cité par Sources :