Differential and Integral Equations
- Differential Integral Equations
- Volume 32, Number 7/8 (2019), 369-408.
Endpoint Strichartz estimates for magnetic wave equations on two dimensional hyperbolic spaces
In this paper, we prove that the Kato smoothing effects for magnetic half wave operators can yield the endpoint Strichartz estimates for linear wave equations with magnetic potentials on the two dimensional hyperbolic spaces. As a corollary, we obtain the endpoint Strichartz estimates in the case of small potentials. This result serves as a cornerstone for the author's work  and collaborative work  in the study of asymptotic stability of harmonic maps for wave maps from $ \mathbb R\times \mathbb H^2$ to $ \mathbb H^2$.
Differential Integral Equations, Volume 32, Number 7/8 (2019), 369-408.
First available in Project Euclid: 2 May 2019
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Mathematical Reviews number (MathSciNet)
Li, Ze. Endpoint Strichartz estimates for magnetic wave equations on two dimensional hyperbolic spaces. Differential Integral Equations 32 (2019), no. 7/8, 369--408. https://projecteuclid.org/euclid.die/1556762422