For radial finite-energy solutions of the 3D defocusing energy-subcritical nonlinear wave equation, decay of only the inward part of the energy implies forward scattering, and slightly faster decay gives explicit rates.
Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper we prove global well-posedness and scattering for the defocusing, cubic, nonlinear wave equation on $\mathbf{R}^{1 + 3}$ with radial initial data lying in the critical Sobolev space $\dot{H}^{1/2}(\mathbf{R}^{3}) \times \dot{H}^{-1/2}(\mathbf{R}^{3})$.
citation-role summary
background 1
citation-polarity summary
fields
math.AP 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Scattering of solutions to NLW by Inward Energy Decay
For radial finite-energy solutions of the 3D defocusing energy-subcritical nonlinear wave equation, decay of only the inward part of the energy implies forward scattering, and slightly faster decay gives explicit rates.