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

Numerische Approximation und Spektrale Analysis unendlich-dimensionaler Dynamischer Systeme

04-044 Vasiliy S. Kolezhuk.
Dynamical systems generated by parabolic equations on the real line

A parabolic reaction-diffusion equation is considered on the real line. An existence theorem is proved in a weighted Sobolev space with a specific weight. The existence of the global attractor in the sense of Babin-Vishik is established.