Year: 2026
Type: preprint
Abstract: We study scattering for the defocusing inhomogeneous generalized Choquard equation with data in the conformal energy space. In the full short-range mass-subcritical regime, a key estimate for the nonlinear term yields scattering in \(L^2\). A pseudoconformal argument in the compactified variables then gives scattering in \(H^1\). In the homogeneous case, estimates based on the Galilean vector field further imply scattering in \(Σ\) above the Strauss threshold. The method avoids the additional algebraic restrictions arising from intermediate Strichartz-Sobolev estimates.
Source: arXiv (Cornell University)
Authors: Michelangeli, Alessandro, Tarulli, Mirko
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214761414