# Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations

• ### Jean-Marc Delort

Université Sorbonne Paris-Nord, France
 AbstractDownload p. v ContentsDownload pp. vii–ix 1 IntroductionDownload pp. 1–30 2 The kink problemDownload pp. 31–51 3 First quadratic normal formDownload pp. 53–57 4 Construction of approximate solutionsDownload pp. 59–80 5 Reduced form of dispersive equationDownload pp. 81–102 6 Normal formsDownload pp. 103–115 7 Bootstrap: $L^2$-estimatesDownload pp. 117–138 8 $L^{\infty}$ estimates and end of bootstrapDownload pp. 139–154 A Scattering for time independent potentialDownload pp. 155–163 B (Semiclassical) pseudo-differential operatorsDownload pp. 165–176 C Bounds for forced linear Klein–Gordon equationsDownload pp. 177–201 D Action of multilinear operators on Sobolev and Hölder spacesDownload pp. 203–227 E Wave operators for time dependent potentialsDownload pp. 229–252 F Division lemmas and normal formsDownload pp. 253–267 G Verification of Fermi’s golden ruleDownload pp. 269–271 ReferencesDownload pp. 273–277 List of notationDownload pp. 279–280