Classical nonlinear evolution equations, Cauchy problem and scattering (Q1080080)

The author presents a survey of significant results he obtained in recent years (in joint work with G. Velo), concerning global existence and nonlinear scattering for some classical nonlinear evolution equations of mathematical physics. Typical examples are the semilinear Schrödinger equations, the Hartree equation and the semilinear Klein-Gordon equation see the author and \textit{G. Velo} [J. Funct. Anal. 32, 1-32 (1979; Zbl 0396.35028); ibid. 32, 33-71 (1979; Zbl 0396.35029); Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 28, 297-316 (1978; Zbl 0397.35012); Math. Z. 170, 109-136 (1980; Zbl 0407.35063); ibid. 189, 487-505 (1985; Zbl 0549.35018)].