Preprint des Projektes: DFG Forschergruppe Spektrale Analysis, asymptotische Verteilungen und stochastische Prozesse

Numerische Approximation und Spektrale Analysis unendlich-dimensionaler Dynamischer Systeme

04-045 Vasiliy S. Kolezhuk.
Interpolation and projection operators in weighted function spaces on the real line

In the study of parabolic differential equations on the real line and their discretizations, various weighted Sobolev spaces appear. In this paper, we establish some relations between these spaces. The main applications of these relations are in the study of convergence of discretized attractors towards exact ones.