Nonrelativistic Limit of Scattering Theory for Nonlinear Klein–Gordon Equations
✍ Scribed by Kenji Nakanishi
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 164 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
dedicated to professors jean ginibre and walter a. strauss on their sixtieth birthdays We show that when n=1 and 2, the scattering operators are well-defined in the whole energy space for nonlinear Klein Gordon and Schro dinger equations in R 1+n with nonlinearity |u| p&1 u, p>1+4Ân. Such results h
## Abstract We study the Cauchy problem of nonlinear Klein–Gordon equation with dissipative term. By introducing a family of potential wells, we derive the invariant sets and prove the global existence, finite time blow up as well as the asymptotic behaviour of solutions. In particular, we show a s