Preprint des Projektes: DFG Forschergruppe Spektrale Analysis, asymptotische Verteilungen und stochastische ProzesseNumerische Approximation und Spektrale Analysis unendlich-dimensionaler Dynamischer Systeme04-044 Vasiliy S. Kolezhuk. 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.
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