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

  • Jean-Marc Delort

    Université Sorbonne Paris-Nord, France
  • Nader Masmoudi

    New York University Abu Dhabi, United Arab Emirates; Courant Institute of Mathematical Sciences, USA
Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations cover
Buy from $75.00Download PDF

This book is published open access.

AbstractDownload p. v
ContentsDownload pp. vii–ix
1IntroductionDownload pp. 1–30
2The kink problemDownload pp. 31–51
3First quadratic normal formDownload pp. 53–57
4Construction of approximate solutionsDownload pp. 59–80
5Reduced form of dispersive equationDownload pp. 81–102
6Normal formsDownload pp. 103–115
7Bootstrap: L2L^2-estimatesDownload pp. 117–138
8LL^{\infty} estimates and end of bootstrapDownload pp. 139–154
AScattering for time independent potentialDownload pp. 155–163
B(Semiclassical) pseudo-differential operatorsDownload pp. 165–176
CBounds for forced linear Klein–Gordon equationsDownload pp. 177–201
DAction of multilinear operators on Sobolev and Hölder spacesDownload pp. 203–227
EWave operators for time dependent potentialsDownload pp. 229–252
FDivision lemmas and normal formsDownload pp. 253–267
GVerification of Fermi’s golden ruleDownload pp. 269–271
ReferencesDownload pp. 273–277
List of notationDownload pp. 279–280