To refer to this page use:
|Abstract:||We consider the question of scattering for the boson star equation in three space dimensions. This is a semi-relativistic Klein-Gordon equation with a cubic nonlinearity of Hartree type. We combine weighted estimates, obtained by exploiting a special null structure present in the equation, and a refined asymptotic analysis performed in Fourier space, to obtain global solutions evolving from small and localized Cauchy data. We describe the behavior of such solutions at infinity by identifying a suitable nonlinear asymptotic correction to scattering. As a byproduct of the weighted energy estimates alone, we also obtain global existence and (linear) scattering for solutions of semi-relativistic Hartree equations with potentials decaying faster than Coulomb.|
|Electronic Publication Date:||17-Jul-2014|
|Citation:||Pusateri, Fabio. (2014). Modified Scattering for the Boson Star Equation. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 332 (1203 - 1234. doi:10.1007/s00220-014-2094-x|
|Pages:||1203 - 1234|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||COMMUNICATIONS IN MATHEMATICAL PHYSICS|
Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.