Small energy scattering for the Zakharov system with radial symmetry
Zihua Guo, Kenji Nakanishi
TL;DR
This paper proves that solutions to the 3D Zakharov system with radial symmetry scatter at small energies, using normal form reduction and improved Strichartz estimates.
Contribution
It introduces a novel combination of normal form reduction and radial-improved Strichartz estimates to establish small energy scattering for the Zakharov system.
Findings
Proved small energy scattering for the 3D Zakharov system with radial symmetry.
Developed radial-improved Strichartz estimates.
Demonstrated the effectiveness of normal form reduction in this context.
Abstract
We prove small energy scattering for the 3D Zakharov system with radial symmetry. The main ingredients are normal form reduction and the radial-improved Strichartz estimates.
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