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Zbl 0627.35078
Ginibre, J.
Théorie de la diffusion pour des équations semi linéaires. (Scattering theory for semilinear equations). (French)
[J] Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1985, No.2, 1-6 (1985).

The author presents an up-to-date survey of results on scattering theory for the semilinear Schrödinger equation (1) $iu\sb t=-\Delta u+f(u)$ and the semilinear Klein-Gordon equation (2) $u\sb{tt}-\Delta u+u+f(u)=0$. In recent years, the author in collaboration with G. Velo has made significant contributions to the subject. Most of their most recent joint work is described in this survey. A quite complete list of references on (1) and (2) is given.

MSC 2000:: *35Q99 PDE of mathematical physics and other areas
35G20 General theory of nonlinear higher-order PDE
35P25 Scattering theory (PDE)

Keywords: bibliography; survey; scattering theory; semilinear Schrödinger equation; semilinear Klein-Gordon equation

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