Rational solutions with non-singular spectrum scatter in all Sobolev norms, and the scattering map is the identity.
Global Well-Posedness For Half-Wave Maps With $S^2$ and $\mathbb{H}^2$ Targets For Small Smooth Initial Data
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove global well-posedness for the half-wave map with $S^2$ target for small $\dot{H}^{\frac{n}{2}} \times \dot{H}^{\frac{n}{2}-1}$ initial data. We also prove the global well-posedness for the equation with $\mathbb{H}^2$ target for small smooth $\dot{B}^{\frac{n}{2}}_{2,1} \times \dot{B}^{\frac{n}{2}-1}_{2,1}$ initial data.
citation-role summary
background 1
citation-polarity summary
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Scattering of Rational Solutions to the Half-Wave Maps Equation
Rational solutions with non-singular spectrum scatter in all Sobolev norms, and the scattering map is the identity.