On adiabatic reduction theory. (English) Zbl 0897.47036

Demuth, M. (ed.) et al., Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 78, 243-252 (1995).
The authors study an evolution process implemented by an operator family holomorphic in a strip around the real axis, and satisfying additional conditions. In particular, the values on the real axis are selfadjoint, with spectra having a gap of length greater than a fixed positive number. The behaviour of the corresponding spectral projections is analyzed and a certain reduction is studied.
For the entire collection see [Zbl 0815.00009].


47D06 One-parameter semigroups and linear evolution equations